Smooth Homogeneous Structures In Operator Theory

Author : Daniel Beltita
Publisher : CRC Press
Page : 320 pages
File Size : 48,6 Mb
Release : 2005-11-01
Category : Mathematics
ISBN : 9781420034806

Get Book

Smooth Homogeneous Structures in Operator Theory by Daniel Beltita Pdf

Geometric ideas and techniques play an important role in operator theory and the theory of operator algebras. Smooth Homogeneous Structures in Operator Theory builds the background needed to understand this circle of ideas and reports on recent developments in this fruitful field of research. Requiring only a moderate familiarity with funct

Author : Joseph A. Ball,Vladimir Bolotnikov,J. William Helton,Leiba Rodman,Ilya M. Spitkovsky
Publisher : Springer Science & Business Media
Page : 600 pages
File Size : 41,8 Mb
Release : 2011-02-09
Category : Mathematics
ISBN : 9783034601580

Get Book

Topics in Operator Theory by Joseph A. Ball,Vladimir Bolotnikov,J. William Helton,Leiba Rodman,Ilya M. Spitkovsky Pdf

This is the first volume of a collection of original and review articles on recent advances and new directions in a multifaceted and interconnected area of mathematics and its applications. It encompasses many topics in theoretical developments in operator theory and its diverse applications in applied mathematics, physics, engineering, and other disciplines. The purpose is to bring in one volume many important original results of cutting edge research as well as authoritative review of recent achievements, challenges, and future directions in the area of operator theory and its applications.

Author : Karl-Hermann Neeb,Arturo Pianzola
Publisher : Springer Science & Business Media
Page : 492 pages
File Size : 46,5 Mb
Release : 2010-10-17
Category : Mathematics
ISBN : 9780817647414

Get Book

Developments and Trends in Infinite-Dimensional Lie Theory by Karl-Hermann Neeb,Arturo Pianzola Pdf

This collection of invited expository articles focuses on recent developments and trends in infinite-dimensional Lie theory, which has become one of the core areas of modern mathematics. The book is divided into three parts: infinite-dimensional Lie (super-)algebras, geometry of infinite-dimensional Lie (transformation) groups, and representation theory of infinite-dimensional Lie groups. Contributors: B. Allison, D. Beltiţă, W. Bertram, J. Faulkner, Ph. Gille, H. Glöckner, K.-H. Neeb, E. Neher, I. Penkov, A. Pianzola, D. Pickrell, T.S. Ratiu, N.R. Scheithauer, C. Schweigert, V. Serganova, K. Styrkas, K. Waldorf, and J.A. Wolf.

Author : Miguel Cabrera García,Ángel Rodríguez Palacios
Publisher : Cambridge University Press
Page : 735 pages
File Size : 45,5 Mb
Release : 2014-07-31
Category : Mathematics
ISBN : 9781107043060

Get Book

Non-Associative Normed Algebras by Miguel Cabrera García,Ángel Rodríguez Palacios Pdf

The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.

Author : Manuel Cepedello Boiso,Håkan Hedenmalm,Marinus A. Kaashoek,Alfonso Montes Rodríguez,Sergei Treil
Publisher : Springer Science & Business Media
Page : 535 pages
File Size : 42,8 Mb
Release : 2013-11-04
Category : Mathematics
ISBN : 9783034806480

Get Book

Concrete Operators, Spectral Theory, Operators in Harmonic Analysis and Approximation by Manuel Cepedello Boiso,Håkan Hedenmalm,Marinus A. Kaashoek,Alfonso Montes Rodríguez,Sergei Treil Pdf

This book contains a collection of research articles and surveys on recent developments on operator theory as well as its applications covered in the IWOTA 2011 conference held at Sevilla University in the summer of 2011. The topics include spectral theory, differential operators, integral operators, composition operators, Toeplitz operators, and more. The book also presents a large number of techniques in operator theory.

Author : Abdenacer Makhlouf
Publisher : John Wiley & Sons
Page : 368 pages
File Size : 42,7 Mb
Release : 2021-03-31
Category : Mathematics
ISBN : 9781119818151

Get Book

Algebra and Applications 1 by Abdenacer Makhlouf Pdf

This book is part of Algebra and Geometry, a subject within the SCIENCES collection published by ISTE and Wiley, and the first of three volumes specifically focusing on algebra and its applications. Algebra and Applications 1 centers on non-associative algebras and includes an introduction to derived categories. The chapters are written by recognized experts in the field, providing insight into new trends, as well as a comprehensive introduction to the theory. The book incorporates self-contained surveys with the main results, applications and perspectives. The chapters in this volume cover a wide variety of algebraic structures and their related topics. Jordan superalgebras, Lie algebras, composition algebras, graded division algebras, non-associative C*- algebras, H*-algebras, Krichever-Novikov type algebras, preLie algebras and related structures, geometric structures on 3-Lie algebras and derived categories are all explored. Algebra and Applications 1 is of great interest to graduate students and researchers. Each chapter combines some of the features of both a graduate level textbook and of research level surveys.

Author : Patrick Cabau,Fernand Pelletier
Publisher : CRC Press
Page : 1516 pages
File Size : 45,5 Mb
Release : 2023-10-06
Category : Mathematics
ISBN : 9781000966015

Get Book

Direct and Projective Limits of Geometric Banach Structures. by Patrick Cabau,Fernand Pelletier Pdf

This book describes in detail the basic context of the Banach setting and the most important Lie structures found in finite dimension. The authors expose these concepts in the convenient framework which is a common context for projective and direct limits of Banach structures. The book presents sufficient conditions under which these structures exist by passing to such limits. In fact, such limits appear naturally in many mathematical and physical domains. Many examples in various fields illustrate the different concepts introduced. Many geometric structures, existing in the Banach setting, are "stable" by passing to projective and direct limits with adequate conditions. The convenient framework is used as a common context for such types of limits. The contents of this book can be considered as an introduction to differential geometry in infinite dimension but also a way for new research topics. This book allows the intended audience to understand the extension to the Banach framework of various topics in finite dimensional differential geometry and, moreover, the properties preserved by passing to projective and direct limits of such structures as a tool in different fields of research.

Author : Anonim
Publisher : Unknown
Page : 756 pages
File Size : 42,6 Mb
Release : 2007
Category : Mathematics
ISBN : UOM:39015076649907

Get Book

Mathematical Reviews by Anonim Pdf

Author : Gerhard Grensing
Publisher : World Scientific
Page : 1656 pages
File Size : 48,5 Mb
Release : 2021-07-15
Category : Science
ISBN : 9789811237096

Get Book

Structural Aspects Of Quantum Field Theory And Noncommutative Geometry (Second Edition) (In 2 Volumes) by Gerhard Grensing Pdf

The book is devoted to the subject of quantum field theory. It is divided into two volumes. The first volume can serve as a textbook on main techniques and results of quantum field theory, while the second treats more recent developments, in particular the subject of quantum groups and noncommutative geometry, and their interrelation.The second edition is extended by additional material, mostly concerning the impact of noncommutative geometry on theories beyond the standard model of particle physics, especially the possible role of torsion in the context of the dark matter problem. Furthermore, the text includes a discussion of the Randall-Sundrum model and the Seiberg-Witten equations.

Author : David E. Evans,Masamichi Takesaki
Publisher : Cambridge University Press
Page : 257 pages
File Size : 43,9 Mb
Release : 1988
Category : Mathematics
ISBN : 9780521368438

Get Book

Operator Algebras and Applications: Volume 1, Structure Theory; K-theory, Geometry and Topology by David E. Evans,Masamichi Takesaki Pdf

These volumes form an authoritative statement of the current state of research in Operator Algebras. They consist of papers arising from a year-long symposium held at the University of Warwick. Contributors include many very well-known figures in the field.

Author : L. Boutet de Monvel,Victor Guillemin
Publisher : Princeton University Press
Page : 166 pages
File Size : 43,7 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400881444

Get Book

The Spectral Theory of Toeplitz Operators. (AM-99), Volume 99 by L. Boutet de Monvel,Victor Guillemin Pdf

The theory of Toeplitz operators has come to resemble more and more in recent years the classical theory of pseudodifferential operators. For instance, Toeplitz operators possess a symbolic calculus analogous to the usual symbolic calculus, and by symbolic means one can construct parametrices for Toeplitz operators and create new Toeplitz operators out of old ones by functional operations. If P is a self-adjoint pseudodifferential operator on a compact manifold with an elliptic symbol that is of order greater than zero, then it has a discrete spectrum. Also, it is well known that the asymptotic behavior of its eigenvalues is closely related to the behavior of the bicharacteristic flow generated by its symbol. It is natural to ask if similar results are true for Toeplitz operators. In the course of answering this question, the authors explore in depth the analogies between Toeplitz operators and pseudodifferential operators and show that both can be viewed as the "quantized" objects associated with functions on compact contact manifolds.

Author : Raúl E. Curto
Publisher : American Mathematical Soc.
Page : 380 pages
File Size : 40,7 Mb
Release : 1995
Category : Mathematics
ISBN : 9780821802984

Get Book

Multivariable Operator Theory by Raúl E. Curto Pdf

This volume contains a collection of papers presented at the Summer Research Conference on Multivariable Operator Theory, held in July 1993 at the University of Washington in Seattle. The articles contain contributions to a variety of areas and topics which may be viewed as forming an emerging new subject. This subject involves the study of geometric rather than topological invariants associated with the general theme of operator theory in several variables. Developments have occurred in several different directions, with the aid of a variety of techniques, and many advances have been made through cross-pollination among different areas of mathematics. The goal of the conference, and of this volume, is to spur discussion of the connections among the various approaches and new directions for research.

Author : M K V Murthy,S Spagnolo
Publisher : CRC Press
Page : 242 pages
File Size : 46,6 Mb
Release : 1992-03-30
Category : Mathematics
ISBN : 058208766X

Get Book

Nonlinear Hyperbolic Equations and Field Theory by M K V Murthy,S Spagnolo Pdf

Contains the proceedings of a workshop on nonlinear hyperbolic equations held at Varenna, Italy in June 1990.

Author : Akhlesh Lakhtakia
Publisher : SPIE Press
Page : 492 pages
File Size : 46,7 Mb
Release : 2004
Category : Nanotechnology
ISBN : 081945186X

Get Book

Nanometer Structures by Akhlesh Lakhtakia Pdf

This volume is a researcher's reference handbook to the many aspects of nanometer structures. Although intended as a source for the serious researcher, novices will find a great deal of interesting content. The theories covered include nanostructured thin films, photonic bandgap structures, quantum dots, carbon nanotubes, atomistic techniques, nanomechanics, nanofluidics, and quantum information processing. Modeling and simulation research on these topics have now reached a stage of maturity.

Author : F. Tricerri,L. Vanhecke
Publisher : Cambridge University Press
Page : 145 pages
File Size : 48,7 Mb
Release : 1983-06-23
Category : Mathematics
ISBN : 9780521274890

Get Book

Homogeneous Structures on Riemannian Manifolds by F. Tricerri,L. Vanhecke Pdf

The central theme of this book is the theorem of Ambrose and Singer, which gives for a connected, complete and simply connected Riemannian manifold a necessary and sufficient condition for it to be homogeneous. This is a local condition which has to be satisfied at all points, and in this way it is a generalization of E. Cartan's method for symmetric spaces. The main aim of the authors is to use this theorem and representation theory to give a classification of homogeneous Riemannian structures on a manifold. There are eight classes, and some of these are discussed in detail. Using the constructive proof of Ambrose and Singer many examples are discussed with special attention to the natural correspondence between the homogeneous structure and the groups acting transitively and effectively as isometrics on the manifold.