Modern Approaches To The Invariant Subspace Problem
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Modern Approaches to the Invariant-Subspace Problem
Author: Isabelle Chalendar
language: en
Publisher: Cambridge University Press
Release Date: 2011-08-18
One of the major unsolved problems in operator theory is the fifty-year-old invariant subspace problem, which asks whether every bounded linear operator on a Hilbert space has a nontrivial closed invariant subspace. This book presents some of the major results in the area, including many that were derived within the past few years and cannot be found in other books. Beginning with a preliminary chapter containing the necessary pure mathematical background, the authors present a variety of powerful techniques, including the use of the operator-valued Poisson kernel, various forms of the functional calculus, Hardy spaces, fixed point theorems, minimal vectors, universal operators and moment sequences. The subject is presented at a level accessible to postgraduate students, as well as established researchers. It will be of particular interest to those who study linear operators and also to those who work in other areas of pure mathematics.
Modern Approaches to the Invariant-Subspace Problem
Presents work on the invariant subspace problem, a major unsolved problem in operator theory.
Induced Representations of Locally Compact Groups
Author: Eberhard Kaniuth
language: en
Publisher: Cambridge University Press
Release Date: 2013
A comprehensive presentation of the theories of induced representations and Mackey analysis applied to a wide variety of groups.