Author: Ronald G. DouglasPublisher: American Mathematical Soc.
ISBN: 9780821888643
Category : Mathematics
Languages : en
Pages : 66
Book Description
Banach Algebra Techniques in the Theory of Toeplitz Operators
Author: Ronald G. DouglasPublisher: American Mathematical Soc.
ISBN: 9780821888643
Category : Mathematics
Languages : en
Pages : 66
Book Description
Official Summary of Security Transactions and Holdings Reported to the Securities and Exchange Commission Under the Securities Exchange Act of 1934 and the Public Utility Holding Company Act of 1935
Author: Banach Algebra Techniques in Operator Theory
Author: Publisher: Academic Press
ISBN: 0080873642
Category : Mathematics
Languages : en
Pages : 233
Book Description
Banach Algebra Techniques in Operator Theory
Banach Algebra Techniques in Operator Theory
Author: Ronald G. DouglasPublisher: Springer Science & Business Media
ISBN: 1461216567
Category : Mathematics
Languages : en
Pages : 212
Book Description
A discussion of certain advanced topics in operator theory, providing the necessary background while assuming only standard senior-first year graduate courses in general topology, measure theory, and algebra. Each chapter ends with source notes which suggest additional reading along with comments on who proved what and when, followed by a large number of problems of varying difficulty. This new edition will appeal to a whole new generation of students seeking an introduction to this topic.
Analysis of Toeplitz Operators
Author: Albrecht BöttcherPublisher: Springer Science & Business Media
ISBN: 366202652X
Category : Mathematics
Languages : en
Pages : 511
Book Description
A revised introduction to the advanced analysis of block Toeplitz operators including recent research. This book builds on the success of the first edition which has been used as a standard reference for fifteen years. Topics range from the analysis of locally sectorial matrix functions to Toeplitz and Wiener-Hopf determinants. This will appeal to both graduate students and specialists in the theory of Toeplitz operators.
Introduction to Large Truncated Toeplitz Matrices
Author: Albrecht BöttcherPublisher: Springer Science & Business Media
ISBN: 1461214262
Category : Mathematics
Languages : en
Pages : 264
Book Description
Applying functional analysis and operator theory to some concrete asymptotic problems of linear algebra, this book contains results on the stability of projection methods, deals with asymptotic inverses and Moore-Penrose inversion of large Toeplitz matrices, and embarks on the asymptotic behaviour of the norms of inverses, the pseudospectra, the singular values, and the eigenvalues of large Toeplitz matrices. The approach is heavily based on Banach algebra techniques and nicely demonstrates the usefulness of C*-algebras and local principles in numerical analysis, including classical topics as well as results and methods from the last few years. Though employing modern tools, the exposition is elementary and points out the mathematical background behind some interesting phenomena encountered with large Toeplitz matrices. Accessible to readers with basic knowledge in functional analysis, the book addresses graduates, teachers, and researchers and should be of interest to everyone who has to deal with infinite matrices (Toeplitz or not) and their large truncations.
Toeplitz Matrices and Operators
Author: Nikolaï NikolskiPublisher: Cambridge University Press
ISBN: 110719850X
Category : Mathematics
Languages : en
Pages : 453
Book Description
A friendly introduction to Toeplitz theory and its applications throughout modern functional analysis.
Carleson Curves, Muckenhoupt Weights, and Toeplitz Operators
Author: Albrecht BöttcherPublisher: Birkhäuser
ISBN: 3034889224
Category : Mathematics
Languages : en
Pages : 408
Book Description
Award-winning monograph of the Ferran Sunyer i Balaguer Prize 1997. This book is a self-contained exposition of the spectral theory of Toeplitz operators with piecewise continuous symbols and singular integral operators with piecewise continuous coefficients. It includes an introduction to Carleson curves, Muckenhoupt weights, weighted norm inequalities, local principles, Wiener-Hopf factorization, and Banach algebras generated by idempotents. Some basic phenomena in the field and the techniques for treating them came to be understood only in recent years and are comprehensively presented here for the first time. The material has been polished in an effort to make advanced topics accessible to a broad readership. The book is addressed to a wide audience of students and mathematicians interested in real and complex analysis, functional analysis and operator theory.
C*-Algebras and Operator Theory
Author: Gerald J. MurphyPublisher: Academic Press
ISBN: 0080924964
Category : Mathematics
Languages : en
Pages : 297
Book Description
This book constitutes a first- or second-year graduate course in operator theory. It is a field that has great importance for other areas of mathematics and physics, such as algebraic topology, differential geometry, and quantum mechanics. It assumes a basic knowledge in functional analysis but no prior acquaintance with operator theory is required.
Operators, Functions, and Systems - An Easy Reading
Author: Nikolai K. NikolskiPublisher: American Mathematical Soc.
ISBN: 0821849336
Category : Computers
Languages : en
Pages : 482
Book Description
One of two volumes, this text combines distinct topics of modern analysis and its applications: Hardy classes of holomorphic functions; spectral theory of Hankel and Toeplitz operators. Each topic has important implications for complex analysis.