Selected Preserver Problems On Algebraic Structures Of Linear Operators And On Function Spaces

Author : L. Molnár
Publisher : Springer
Page : 243 pages
File Size : 43,7 Mb
Release : 2006-11-15
Category : Mathematics
ISBN : 9783540399469

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Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces by L. Molnár Pdf

The territory of preserver problems has grown continuously within linear analysis. This book presents a cross-section of the modern theory of preservers on infinite dimensional spaces (operator spaces and function spaces) through the author's corresponding results. Special emphasis is placed on preserver problems concerning some structures of Hilbert space operators which appear in quantum mechanics. In addition, local automorphisms and local isometries of operator algebras and function algebras are discussed in detail.

Author : Lajos Molnâar
Publisher : Unknown
Page : 232 pages
File Size : 54,7 Mb
Release : 2007-01-01
Category : Electronic books
ISBN : 6610701970

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Selected Preserver Problems on Algebraic Structures of Linear Operators and on Function Spaces by Lajos Molnâar Pdf

Author : A. Bourhim,J. Mashreghi,L. Oubbi,Z. Abdelali
Publisher : American Mathematical Soc.
Page : 213 pages
File Size : 48,5 Mb
Release : 2020-05-05
Category : Education
ISBN : 9781470446932

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Linear and Multilinear Algebra and Function Spaces by A. Bourhim,J. Mashreghi,L. Oubbi,Z. Abdelali Pdf

This volume contains the proceedings of the International Conference on Algebra and Related Topics, held from July 2–5, 2018, at Mohammed V University, Rabat, Morocco. Linear reserver problems demand the characterization of linear maps between algebras that leave invariant certain properties or certain subsets or relations. One of the most intractable unsolved problems is Kaplansky's conjecture: every surjective unital invertibility preserving linear map between two semisimple Banach algebras is a Jordan homomorphism. Recently, there has been an upsurge of interest in nonlinear preservers, where the maps studied are no longer assumed linear but instead a weak algebraic condition is somehow involved through the preserving property. This volume contains several articles on various aspects of preservers, including such topics as Jordan isomorphisms, Aluthge transform, joint numerical radius on C ∗ C∗-algebras, advertible complete algebras, and Gelfand-Mazur algebras. The volume also contains a survey on recent progress on local spectrum-preserving maps. Several articles in the volume present results about weighted spaces and algebras of holomorphic or harmonic functions, including biduality in weighted spaces of analytic functions, interpolation in the analytic Wiener algebra, and weighted composition operators on non-locally convex weighted spaces.

Author : Mykhaylo Andriychuk
Publisher : BoD – Books on Demand
Page : 274 pages
File Size : 47,6 Mb
Release : 2023
Category : Mathematics
ISBN : 9781803558226

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Matrix Theory by Mykhaylo Andriychuk Pdf

Matrix Theory - Classics and Advances examines matrix theory and its application in solving a series of problems related to natural phenomena and applied science. It consists of eleven chapters divided into two sections. Section 1, "Theory and Progress", discusses the classical problems of matrix theory and its contribution to different fields of pure mathematics. Section 2, "Applications", contains the research related to the application of matrix theory in applied science.

Author : Themistocles M. Rassias,Janusz Brzdek
Publisher : Springer Science & Business Media
Page : 744 pages
File Size : 50,7 Mb
Release : 2011-09-18
Category : Mathematics
ISBN : 9781461400554

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Functional Equations in Mathematical Analysis by Themistocles M. Rassias,Janusz Brzdek Pdf

The stability problem for approximate homomorphisms, or the Ulam stability problem, was posed by S. M. Ulam in the year 1941. The solution of this problem for various classes of equations is an expanding area of research. In particular, the pursuit of solutions to the Hyers-Ulam and Hyers-Ulam-Rassias stability problems for sets of functional equations and ineqalities has led to an outpouring of recent research. This volume, dedicated to S. M. Ulam, presents the most recent results on the solution to Ulam stability problems for various classes of functional equations and inequalities. Comprised of invited contributions from notable researchers and experts, this volume presents several important types of functional equations and inequalities and their applications to problems in mathematical analysis, geometry, physics and applied mathematics. "Functional Equations in Mathematical Analysis" is intended for researchers and students in mathematics, physics, and other computational and applied sciences.

Author : Marcos Marino,Michael Thaddeus,Ravi Vakil
Publisher : Springer Science & Business Media
Page : 219 pages
File Size : 49,7 Mb
Release : 2008-08-22
Category : Mathematics
ISBN : 9783540798132

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Enumerative Invariants in Algebraic Geometry and String Theory by Marcos Marino,Michael Thaddeus,Ravi Vakil Pdf

Starting in the middle of the 80s, there has been a growing and fruitful interaction between algebraic geometry and certain areas of theoretical high-energy physics, especially the various versions of string theory. Physical heuristics have provided inspiration for new mathematical definitions (such as that of Gromov-Witten invariants) leading in turn to the solution of problems in enumerative geometry. Conversely, the availability of mathematically rigorous definitions and theorems has benefited the physics research by providing the required evidence in fields where experimental testing seems problematic. The aim of this volume, a result of the CIME Summer School held in Cetraro, Italy, in 2005, is to cover part of the most recent and interesting findings in this subject.

Author : Afzal Beg
Publisher : ALPHA SCIENCE INTERNATIONAL LIMITED
Page : 184 pages
File Size : 48,5 Mb
Release : 2011-05-02
Category : Mathematics
ISBN : 9788184875270

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Algebra and its Applications by Afzal Beg Pdf

Algebra has been developing through the interaction between the investigation of its own algebraic structures and its applications to different areas of Mathematics and other branches of Science. This informative research volume consists of survey and original articles by reputed algebraists which are refereed by the experts in the relevant fields. The survey articles provide an excellent overview of the various areas of research in Algebra. The original articles by reputed algebraists in Ring Theory, Module Theory, Semigroup Theory, Lattice Theory, Category Theory, Derivations, Hyper and Fuzzy Structures etc. exhibit new ideas, tools needed for the successful applications and discuss new techniques and methodologies for current research in different branches of Algebra. Over 300 bibliographic references make Algebra and its Applications: Recent Developments an indispensable resource book for the beginners and advanced experts in Algebra.

Author : Walter Roth
Publisher : Springer
Page : 356 pages
File Size : 40,8 Mb
Release : 2008-12-17
Category : Mathematics
ISBN : 9783540875659

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Operator-Valued Measures and Integrals for Cone-Valued Functions by Walter Roth Pdf

Integration theory deals with extended real-valued, vector-valued, or operator-valued measures and functions. Different approaches are applied in each of these cases using different techniques. The order structure of the (extended) real number system is used for real-valued functions and measures whereas suprema and infima are replaced with topological limits in the vector-valued case. A novel approach employing more general structures, locally convex cones, which are natural generalizations of locally convex vector spaces, is introduced here. This setting allows developing a general theory of integration which simultaneously deals with all of the above-mentioned cases.

Author : H. Garth Dales,Dmitry Khavinson,Javad Mashreghi
Publisher : American Mathematical Soc.
Page : 280 pages
File Size : 49,8 Mb
Release : 2020-02-07
Category : Education
ISBN : 9781470446925

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Complex Analysis and Spectral Theory by H. Garth Dales,Dmitry Khavinson,Javad Mashreghi Pdf

This volume contains the proceedings of the Conference on Complex Analysis and Spectral Theory, in celebration of Thomas Ransford's 60th birthday, held from May 21–25, 2018, at Laval University, Québec, Canada. Spectral theory is the branch of mathematics devoted to the study of matrices and their eigenvalues, as well as their infinite-dimensional counterparts, linear operators and their spectra. Spectral theory is ubiquitous in science and engineering because so many physical phenomena, being essentially linear in nature, can be modelled using linear operators. On the other hand, complex analysis is the calculus of functions of a complex variable. They are widely used in mathematics, physics, and in engineering. Both topics are related to numerous other domains in mathematics as well as other branches of science and engineering. The list includes, but is not restricted to, analytical mechanics, physics, astronomy (celestial mechanics), geology (weather modeling), chemistry (reaction rates), biology, population modeling, economics (stock trends, interest rates and the market equilibrium price changes). There are many other connections, and in recent years there has been a tremendous amount of work on reproducing kernel Hilbert spaces of analytic functions, on the operators acting on them, as well as on applications in physics and engineering, which arise from pure topics like interpolation and sampling. Many of these connections are discussed in articles included in this book.

Author : Vitali D. Milman,Gideon Schechtman
Publisher : Springer
Page : 330 pages
File Size : 44,7 Mb
Release : 2007-04-27
Category : Mathematics
ISBN : 9783540720539

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Geometric Aspects of Functional Analysis by Vitali D. Milman,Gideon Schechtman Pdf

This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) during the years 2004-2005 reflects the general trends of the theory and are a source of inspiration for research. Most of the papers deal with different aspects of the Asymptotic Geometric Analysis, ranging from classical topics in the geometry of convex bodies to the study of sections or projections of convex bodies.

Author : Erwin Bolthausen,Anton Bovier
Publisher : Springer
Page : 190 pages
File Size : 46,9 Mb
Release : 2007-01-11
Category : Science
ISBN : 9783540409083

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Spin Glasses by Erwin Bolthausen,Anton Bovier Pdf

This book serves as a concise introduction to the state-of-the-art of spin glass theory. The collection of review papers are written by leading experts in the field and cover the topic from a wide variety of angles. The book will be useful to both graduate students and young researchers, as well as to anyone curious to know what is going on in this exciting area of mathematical physics.

Author : Árpád Baricz
Publisher : Springer Science & Business Media
Page : 225 pages
File Size : 48,6 Mb
Release : 2010-05-25
Category : Mathematics
ISBN : 9783642122293

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Generalized Bessel Functions of the First Kind by Árpád Baricz Pdf

This volume studies the generalized Bessel functions of the first kind by using a number of classical and new findings in complex and classical analysis. It presents interesting geometric properties and functional inequalities for these generalized functions.

Author : Harm Bart,Sanne ter Horst,André C.M. Ran,Hugo J. Woerdeman
Publisher : Springer
Page : 464 pages
File Size : 40,5 Mb
Release : 2018-12-30
Category : Mathematics
ISBN : 9783030042691

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Operator Theory, Analysis and the State Space Approach by Harm Bart,Sanne ter Horst,André C.M. Ran,Hugo J. Woerdeman Pdf

This volume is dedicated to Rien Kaashoek on the occasion of his 80th birthday and celebrates his many contributions to the field of operator theory during more than fifty years. In the first part of the volume, biographical information and personal accounts on the life of Rien Kaashoek are presented. Eighteen research papers by friends and colleagues of Rien Kaashoek are included in the second part. Contributions by J. Agler, Z.A. Lykova, N.J. Young, J.A. Ball, G.J. Groenewald, S. ter Horst, H. Bart, T. Ehrhardt, B. Silbermann, J.M. Bogoya, S.M. Grudsky, I.S. Malysheva, A. Böttcher, E. Wegert, Z. Zhou, Y. Eidelman, I. Haimovici, A.E. Frazho, A.C.M. Ran, B. Fritzsche, B. Kirstein, C.Madler, J. J. Jaftha, D.B. Janse van Rensburg, P. Junghanns, R. Kaiser, J. Nemcova, M. Petreczky, J.H. van Schuppen, L. Plevnik, P. Semrl, A. Sakhnovich, F.-O. Speck, S. Sremac, H.J. Woerdeman, H. Wolkowicz and N. Vasilevski.

Author : Marcus du Sautoy,Luke Woodward
Publisher : Springer Science & Business Media
Page : 217 pages
File Size : 43,9 Mb
Release : 2008
Category : Mathematics
ISBN : 9783540747017

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Zeta Functions of Groups and Rings by Marcus du Sautoy,Luke Woodward Pdf

Zeta functions have been a powerful tool in mathematics over the last two centuries. This book considers a new class of non-commutative zeta functions which encode the structure of the subgroup lattice in infinite groups. The book explores the analytic behaviour of these functions together with an investigation of functional equations. Many important examples of zeta functions are calculated and recorded providing an important data base of explicit examples and methods for calculation.

Author : Jerrold E. Marsden,Gerard Misiolek,Juan-Pablo Ortega,Matthew Perlmutter,Tudor S. Ratiu
Publisher : Springer
Page : 524 pages
File Size : 53,6 Mb
Release : 2007-06-05
Category : Mathematics
ISBN : 9783540724704

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Hamiltonian Reduction by Stages by Jerrold E. Marsden,Gerard Misiolek,Juan-Pablo Ortega,Matthew Perlmutter,Tudor S. Ratiu Pdf

This volume provides a detailed account of the theory of symplectic reduction by stages, along with numerous illustrations of the theory. It gives special emphasis to group extensions, including a detailed discussion of the Euclidean group, the oscillator group, the Bott-Virasoro group and other groups of matrices. The volume also provides ample background theory on symplectic reduction and cotangent bundle reduction.