Nearly Invariant Subspaces and their Applications (London Mathematical Society Student Texts) - Couverture rigide

Name: Nearly Invariant Subspaces and their Applications (London Mathematical Society Student Texts)
Author: Partington, Jonathan R.
ISBN: 9781047751544

Partington, Jonathan R.

9781047751544: Nearly Invariant Subspaces and their Applications (London Mathematical Society Student Texts)

Couverture rigide

ISBN 10 : 1047751542 ISBN 13 : 9781047751544

Editeur : Cambridge University Press, 2026

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This book offers a comprehensive introduction to nearly invariant subspaces, a subject of active contemporary research within functional analysis. Written for graduate students in mathematical analysis and suitable as a reference for experienced researchers, the book surveys the historical development of nearly invariant subspaces from their origins in the study of kernels of Toeplitz operators and invariant subspaces of shift operators. It presents recent advances, including applications to the invariant subspace problem, to truncated Toeplitz operators, and to strongly continuous semigroups of operators. Although mostly concerned with operators on Hardy spaces, the book includes a discussion of the subject in the context of Bergman and Dirichlet spaces too. The book begins with a chapter recalling basic results in analysis and function theory, and each chapter contains a selection of accessible exercises to supplement the text.

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� propos de l'auteur

Jonathan Partington is an Emeritus professor of applied functional analysis at Leeds University. He was formerly an editor of the Journal of the London Mathematical Society and coordinator of the Leeds node of a European Research Training Network in Analysis and Operators. The author of over 200 papers in mathematics and engineering, he has also written the following books: An Introduction to Hankel Operators (1989), Interpolation, Identification, and Sampling (1997), Linear Operators and Linear Systems (2004), and Modern Approaches to the Invariant Subspace Problem (2011, with Isabelle Chalendar).

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