Author : Fuzhen Zhang
Publisher : Springer Science & Business Media
Page : 290 pages
File Size : 50,16 MB
Release : 2013-03-14
Category : Mathematics
ISBN : 1475757972
This volume concisely presents fundamental ideas, results, and techniques in linear algebra and mainly matrix theory. Each chapter focuses on the results, techniques, and methods that are beautiful, interesting, and representative, followed by carefully selected problems. For many theorems several different proofs are given. The only prerequisites are a decent background in elementary linear algebra and calculus.
Author : Roger A. Horn
Publisher : Cambridge University Press
Page : 620 pages
File Size : 33,95 MB
Release : 1994-06-24
Category : Mathematics
ISBN : 9780521467131
This book treats several topics in matrix theory not included in its predecessor volume, Matrix Analysis.
Author : Aref Jeribi
Publisher : Springer
Page : 608 pages
File Size : 20,68 MB
Release : 2015-07-04
Category : Science
ISBN : 3319175661
Examining recent mathematical developments in the study of Fredholm operators, spectral theory and block operator matrices, with a rigorous treatment of classical Riesz theory of polynomially-compact operators, this volume covers both abstract and applied developments in the study of spectral theory. These topics are intimately related to the stability of underlying physical systems and play a crucial role in many branches of mathematics as well as numerous interdisciplinary applications. By studying classical Riesz theory of polynomially compact operators in order to establish the existence results of the second kind operator equations, this volume will assist the reader working to describe the spectrum, multiplicities and localization of the eigenvalues of polynomially-compact operators.
Author : Joseph A. Ball
Publisher : Springer Science & Business Media
Page : 624 pages
File Size : 10,38 MB
Release : 2011-02-09
Category : Mathematics
ISBN : 3034601581
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 : Rajendra Bhatia
Publisher : Springer Science & Business Media
Page : 360 pages
File Size : 19,97 MB
Release : 2013-12-01
Category : Mathematics
ISBN : 1461206537
This book presents a substantial part of matrix analysis that is functional analytic in spirit. Topics covered include the theory of majorization, variational principles for eigenvalues, operator monotone and convex functions, and perturbation of matrix functions and matrix inequalities. The book offers several powerful methods and techniques of wide applicability, and it discusses connections with other areas of mathematics.
Author : M. Amélia Bastos
Publisher : Birkhäuser
Page : 657 pages
File Size : 38,37 MB
Release : 2022-04-02
Category : Mathematics
ISBN : 9783030519476
This book presents 30 articles on the topic areas discussed at the 30th “International Workshop on Operator Theory and its Applications”, held in Lisbon in July 2019. The contributions include both expository essays and original research papers reflecting recent advances in the traditional IWOTA areas and emerging adjacent fields, as well as the applications of Operator Theory and Functional Analysis. The topics range from C*–algebras and Banach *–algebras, Sturm-Liouville theory, integrable systems, dilation theory, frame theory, Toeplitz, Hankel, and singular integral operators, to questions from lattice, group and matrix theories, complex analysis, harmonic analysis, and function spaces. Given its scope, the book is chiefly intended for researchers and graduate students in the areas of Operator Theory, Functional Analysis, their applications and adjacent fields.
Author : Tosio Kato
Publisher : Springer Science & Business Media
Page : 610 pages
File Size : 36,29 MB
Release : 2013-06-29
Category : Mathematics
ISBN : 3662126788
Author : Terence Tao
Publisher : American Mathematical Soc.
Page : 298 pages
File Size : 16,36 MB
Release : 2012-03-21
Category : Mathematics
ISBN : 0821874306
The field of random matrix theory has seen an explosion of activity in recent years, with connections to many areas of mathematics and physics. However, this makes the current state of the field almost too large to survey in a single book. In this graduate text, we focus on one specific sector of the field, namely the spectral distribution of random Wigner matrix ensembles (such as the Gaussian Unitary Ensemble), as well as iid matrix ensembles. The text is largely self-contained and starts with a review of relevant aspects of probability theory and linear algebra. With over 200 exercises, the book is suitable as an introductory text for beginning graduate students seeking to enter the field.
Author : Albrecht Böttcher
Publisher : American Mathematical Soc.
Page : 354 pages
File Size : 22,74 MB
Release : 1996
Category : Mathematics
ISBN : 082180457X
Much of the importance of mathematics lies in its ability to provide theories which are useful in widely different fields of endeavour. A good example is the large and amorphous body of knowledge known as the theory of linear operators or operator theory, which came to life about a century ago as a theory to encompass properties common to matrix, differential, and integral operators. Thus, it is a primary purpose of operator theory to provide a coherent body of knowledge which can explain phenomena common to the enormous variety of problems in which such linear operators play a part. The theory is a vital part of functional analysis, whose methods and techniques are one of the major advances of twentieth century mathematics and now play a pervasive role in the modeling of phenomena in probability, imaging, signal processing, systems theory, etc, as well as in the more traditional areas of theoretical physics and mechanics. This book is based on lectures presented at a meeting on operator theory and its applications held at the Fields Institute in 1994.
Author : Wolfram Bauer
Publisher : Birkhäuser
Page : 467 pages
File Size : 22,18 MB
Release : 2021-09-02
Category : Mathematics
ISBN : 9783030446536
This book features a collection of up-to-date research papers that study various aspects of general operator algebra theory and concrete classes of operators, including a range of applications. Most of the papers included were presented at the International Workshop on Operator Algebras, Toeplitz Operators, and Related Topics, in Boca del Rio, Veracruz, Mexico, in November 2018. The conference, which was attended by more than 30 leading experts in the field, was held in celebration of Nikolai Vasilevski’s 70th birthday, and the contributions are dedicated to him.
