Kato S Type Inequalities For Bounded Linear Operators In Hilbert Spaces

Author : Silvestru Sever Dragomir
Publisher : Springer
Page : 126 pages
File Size : 52,7 Mb
Release : 2019-05-24
Category : Mathematics
ISBN : 9783030174590

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Kato's Type Inequalities for Bounded Linear Operators in Hilbert Spaces by Silvestru Sever Dragomir Pdf

The aim of this book is to present results related to Kato's famous inequality for bounded linear operators on complex Hilbert spaces obtained by the author in a sequence of recent research papers. As Linear Operator Theory in Hilbert spaces plays a central role in contemporary mathematics, with numerous applications in fields including Partial Differential Equations, Approximation Theory, Optimization Theory, and Numerical Analysis, the volume is intended for use by both researchers in various fields and postgraduate students and scientists applying inequalities in their specific areas. For the sake of completeness, all the results presented are completely proved and the original references where they have been firstly obtained are mentioned.

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
Page : 595 pages
File Size : 49,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401512886

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Encyclopaedia of Mathematics by Michiel Hazewinkel Pdf

This is the first Supplementary volume to Kluwer's highly acclaimed Encyclopaedia of Mathematics. This additional volume contains nearly 600 new entries written by experts and covers developments and topics not included in the already published 10-volume set. These entries have been arranged alphabetically throughout. A detailed index is included in the book. This Supplementary volume enhances the existing 10-volume set. Together, these eleven volumes represent the most authoritative, comprehensive up-to-date Encyclopaedia of Mathematics available.

Author : Peter Bullen
Publisher : CRC Press
Page : 298 pages
File Size : 45,9 Mb
Release : 1998-08-21
Category : Mathematics
ISBN : 0582327482

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A Dictionary of Inequalities by Peter Bullen Pdf

The literature on inequalities is vast-in recent years the number of papers as well as the number of journals devoted to the subject have increased dramatically. At best, locating a particular inequality within the literature can be a cumbersome task. A Dictionary of Inequalities ends the dilemma of where to turn to find a result, a related inequality, or the references to the information you need. It provides a concise, alphabetical listing of each inequality-by its common name or its subject-with a short statement of the result, some comments, references to related inequalities, and a list of sources for further information. The author uses only the most elementary of mathematical terminology and does not offer proofs, thus making an interest in inequalities the only prerequisite for using the text. The author focuses on intuitive, physical forms of inequalities rather than their most general versions, and retains the beauty and importance of original versions rather than listing their later, abstract forms. He presents each in its simplest form with other renditions, such as for complex numbers and vectors, as extensions or under different headings. He has kept the book to a more manageable size by omitting inequalities in areas-such as elementary geometric and trigonometric inequalities-rarely used outside their fields. The end result is a current, concise, reference that puts the essential results on inequalities within easy reach. A Dictionary of Inequalities carries the beauty and attraction of the best and most successful dictionaries: on looking up a given item, the reader is likely to be intrigued and led by interest to others.

Author : Takayuki Furuta
Publisher : CRC Press
Page : 276 pages
File Size : 48,7 Mb
Release : 2001-07-26
Category : Mathematics
ISBN : 0415267994

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Invitation to Linear Operators by Takayuki Furuta Pdf

Most books on linear operators are not easy to follow for students and researchers without an extensive background in mathematics. Self-contained and using only matrix theory, Invitation to Linear Operators: From Matricies to Bounded Linear Operators on a Hilbert Space explains in easy-to-follow steps a variety of interesting recent results on linear operators on a Hilbert space. The author first states the important properties of a Hilbert space, then sets out the fundamental properties of bounded linear operators on a Hilbert space. The final section presents some of the more recent developments in bounded linear operators.

Author : Peter Bullen
Publisher : CRC Press
Page : 390 pages
File Size : 41,7 Mb
Release : 2015-06-15
Category : Mathematics
ISBN : 9781482237627

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Dictionary of Inequalities by Peter Bullen Pdf

Adding new results that have appeared in the last 15 years, Dictionary of Inequalities, Second Edition provides an easy way for researchers to locate an inequality by name or subject. This edition offers an up-to-date, alphabetical listing of each inequality with a short statement of the result, some comments, references to related inequalities, an

Author : Laszlo Kerchy,Ciprian I. Foias,Izrael Gohberg,Heinz Langer
Publisher : Birkhäuser
Page : 719 pages
File Size : 55,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034883740

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Recent Advances in Operator Theory and Related Topics by Laszlo Kerchy,Ciprian I. Foias,Izrael Gohberg,Heinz Langer Pdf

These 35 refereed articles report on recent and original results in various areas of operator theory and connected fields, many of them strongly related to contributions of Sz.-Nagy. The scientific part of the book is preceeded by fifty pages of biographical material, including several photos.

Author : Pintu Bhunia,Silvestru Sever Dragomir,Mohammad Sal Moslehian,Kallol Paul
Publisher : Springer Nature
Page : 216 pages
File Size : 54,6 Mb
Release : 2022-11-18
Category : Mathematics
ISBN : 9783031136702

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Lectures on Numerical Radius Inequalities by Pintu Bhunia,Silvestru Sever Dragomir,Mohammad Sal Moslehian,Kallol Paul Pdf

This book is a self-contained advanced monograph on inequalities involving the numerical radius of bounded linear operators acting on complex Hilbert spaces. The study of numerical range and numerical radius has a long and distinguished history starting from the Rayleigh quotients used in the 19th century to nowadays applications in quantum information theory and quantum computing. This monograph is intended for use by both researchers and graduate students of mathematics, physics, and engineering who have a basic background in functional analysis and operator theory. The book provides several challenging problems and detailed arguments for the majority of the results. Each chapter ends with some notes about historical views or further extensions of the topics. It contains a bibliography of about 180 items, so it can be used as a reference book including many classical and modern numerical radius inequalities.

Author : Yeol Je Cho,Jong Kyu Kim,Sever Silvestru Dragomir
Publisher : Nova Publishers
Page : 200 pages
File Size : 45,8 Mb
Release : 2007
Category : Mathematics
ISBN : 1594548749

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Inequality Theory and Applications by Yeol Je Cho,Jong Kyu Kim,Sever Silvestru Dragomir Pdf

The aim of this volume is to introduce and exchange recent new topics on the areas of inequality theory and their applications dealing in pure and applied mathematics.

Author : Anonim
Publisher : Unknown
Page : 558 pages
File Size : 51,7 Mb
Release : 1999
Category : Mathematics
ISBN : UOM:39015049361432

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Mathematica Japonicae by Anonim Pdf

Author : Robin Harte
Publisher : Courier Dover Publications
Page : 627 pages
File Size : 50,7 Mb
Release : 2016-10-20
Category : Mathematics
ISBN : 9780486810300

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Invertibility and Singularity for Bounded Linear Operators by Robin Harte Pdf

Originally published: New York: Marcel Dekker, Inc., 1988.

Author : Alexander A. Balinsky,W. Desmond Evans,Roger T. Lewis
Publisher : Springer
Page : 263 pages
File Size : 41,6 Mb
Release : 2015-10-20
Category : Mathematics
ISBN : 9783319228709

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The Analysis and Geometry of Hardy's Inequality by Alexander A. Balinsky,W. Desmond Evans,Roger T. Lewis Pdf

This volume presents advances that have been made over recent decades in areas of research featuring Hardy's inequality and related topics. The inequality and its extensions and refinements are not only of intrinsic interest but are indispensable tools in many areas of mathematics and mathematical physics. Hardy inequalities on domains have a substantial role and this necessitates a detailed investigation of significant geometric properties of a domain and its boundary. Other topics covered in this volume are Hardy- Sobolev-Maz’ya inequalities; inequalities of Hardy-type involving magnetic fields; Hardy, Sobolev and Cwikel-Lieb-Rosenbljum inequalities for Pauli operators; the Rellich inequality. The Analysis and Geometry of Hardy’s Inequality provides an up-to-date account of research in areas of contemporary interest and would be suitable for a graduate course in mathematics or physics. A good basic knowledge of real and complex analysis is a prerequisite.

Author : Richard M. Aron,Mohammad Sal Moslehian,Ilya M. Spitkovsky,Hugo J. Woerdeman
Publisher : Springer Nature
Page : 822 pages
File Size : 51,5 Mb
Release : 2022-08-10
Category : Mathematics
ISBN : 9783031021046

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Operator and Norm Inequalities and Related Topics by Richard M. Aron,Mohammad Sal Moslehian,Ilya M. Spitkovsky,Hugo J. Woerdeman Pdf

Inequalities play a central role in mathematics with various applications in other disciplines. The main goal of this contributed volume is to present several important matrix, operator, and norm inequalities in a systematic and self-contained fashion. Some powerful methods are used to provide significant mathematical inequalities in functional analysis, operator theory and numerous fields in recent decades. Some chapters are devoted to giving a series of new characterizations of operator monotone functions and some others explore inequalities connected to log-majorization, relative operator entropy, and the Ando-Hiai inequality. Several chapters are focused on Birkhoff–James orthogonality and approximate orthogonality in Banach spaces and operator algebras such as C*-algebras from historical perspectives to current development. A comprehensive account of the boundedness, compactness, and restrictions of Toeplitz operators can be found in the book. Furthermore, an overview of the Bishop-Phelps-Bollobás theorem is provided. The state-of-the-art of Hardy-Littlewood inequalities in sequence spaces is given. The chapters are written in a reader-friendly style and can be read independently. Each chapter contains a rich bibliography. This book is intended for use by both researchers and graduate students of mathematics, physics, and engineering.

Author : Silvestru Sever Dragomir
Publisher : Springer
Page : 0 pages
File Size : 40,7 Mb
Release : 2013-09-23
Category : Mathematics
ISBN : 3319014471

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Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces by Silvestru Sever Dragomir Pdf

Aimed toward researchers, postgraduate students, and scientists in linear operator theory and mathematical inequalities, this self-contained monograph focuses on numerical radius inequalities for bounded linear operators on complex Hilbert spaces for the case of one and two operators. Students at the graduate level will learn some essentials that may be useful for reference in courses in functional analysis, operator theory, differential equations, and quantum computation, to name several. Chapter 1 presents fundamental facts about the numerical range and the numerical radius of bounded linear operators in Hilbert spaces. Chapter 2 illustrates recent results obtained concerning numerical radius and norm inequalities for one operator on a complex Hilbert space, as well as some special vector inequalities in inner product spaces due to Buzano, Goldstein, Ryff and Clarke as well as some reverse Schwarz inequalities and Grüss type inequalities obtained by the author. Chapter 3 presents recent results regarding the norms and the numerical radii of two bounded linear operators. The techniques shown in this chapter are elementary but elegant and may be accessible to undergraduate students with a working knowledge of operator theory. A number of vector inequalities in inner product spaces as well as inequalities for means of nonnegative real numbers are also employed in this chapter. All the results presented are completely proved and the original references are mentioned.

Author : Sever Silvestru Dragomir
Publisher : Unknown
Page : 132 pages
File Size : 50,8 Mb
Release : 2013
Category : Hilbert space
ISBN : 3319014498

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Inequalities for the Numerical Radius of Linear Operators in Hilbert Spaces by Sever Silvestru Dragomir Pdf

Author : Mohammed Hichem Mortad
Publisher : Springer Nature
Page : 613 pages
File Size : 52,5 Mb
Release : 2022-05-03
Category : Mathematics
ISBN : 9783030978143

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Counterexamples in Operator Theory by Mohammed Hichem Mortad Pdf

This text is the first of its kind exclusively devoted to counterexamples in operator theory and includes over 500 problems on bounded and unbounded linear operators in Hilbert spaces. This volume is geared towards graduate students studying operator theory, and the author has designated the difficulty level for each counterexample, indicating which ones are also suitable for advanced undergraduate students. The first half of the book focuses on bounded linear operators, including counterexamples in the areas of operator topologies, matrices of bounded operators, square roots, the spectrum, operator exponentials, and non-normal operators. The second part of the book is devoted to unbounded linear operators in areas such as closedness and closability, self-adjointness, normality, commutativity, and the spectrum, concluding with a chapter that features some open problems. Chapters begin with a brief “Basics” section for the readers’ reference, and many of the counterexamples included are the author’s original work. Counterexamples in Operator Theory can be used by students in graduate courses on operator theory and advanced matrix theory. Previous coursework in advanced linear algebra, operator theory, and functional analysis is assumed. Researchers, quantum physicists, and undergraduate students studying functional analysis and operator theory will also find this book to be a useful reference.