Modern Approaches To The Invariant Subspace Problem
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Modern Approaches To The Invariant Subspace Problem
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Author : Isabelle Chalendar
language : en
Publisher: Cambridge University Press
Release Date : 2011-08-18
Modern Approaches To The Invariant Subspace Problem written by Isabelle Chalendar and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-18 with Mathematics categories.
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
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Author : Isabelle Chalendar
language : en
Publisher:
Release Date : 2011
Modern Approaches To The Invariant Subspace Problem written by Isabelle Chalendar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with MATHEMATICS categories.
Presents work on the invariant subspace problem, a major unsolved problem in operator theory.
Representations Of Elementary Abelian P Groups And Vector Bundles
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Author : David J. Benson
language : en
Publisher: Cambridge University Press
Release Date : 2017
Representations Of Elementary Abelian P Groups And Vector Bundles written by David J. Benson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Mathematics categories.
An up to date study of recent progress in vector bundle methods in the representation theory of elementary abelian groups.
Canonical Ramsey Theory On Polish Spaces
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Author : Vladimir Kanovei
language : en
Publisher: Cambridge University Press
Release Date : 2013-09-12
Canonical Ramsey Theory On Polish Spaces written by Vladimir Kanovei and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-12 with Mathematics categories.
Lays the foundations for a new area of descriptive set theory: the connection between forcing and analytic equivalence relations.
Defocusing Nonlinear Schr Dinger Equations
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Author : Benjamin Dodson
language : en
Publisher: Cambridge University Press
Release Date : 2019-03-28
Defocusing Nonlinear Schr Dinger Equations written by Benjamin Dodson and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-28 with Mathematics categories.
Explores Schrödinger equations with power-type nonlinearity, with scattering results for mass- and energy-critical Schrödinger equations.
Induced Representations Of Locally Compact Groups
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Author : Eberhard Kaniuth
language : en
Publisher: Cambridge University Press
Release Date : 2013
Induced Representations Of Locally Compact Groups written by Eberhard Kaniuth and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
A comprehensive presentation of the theories of induced representations and Mackey analysis applied to a wide variety of groups.
The Random Matrix Theory Of The Classical Compact Groups
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Author : Elizabeth S. Meckes
language : en
Publisher: Cambridge University Press
Release Date : 2019-08
The Random Matrix Theory Of The Classical Compact Groups written by Elizabeth S. Meckes and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-08 with Mathematics categories.
Provides a comprehensive introduction to the theory of random orthogonal, unitary, and symplectic matrices.
Nonlinear Perron Frobenius Theory
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Author : Bas Lemmens
language : en
Publisher: Cambridge University Press
Release Date : 2012-05-03
Nonlinear Perron Frobenius Theory written by Bas Lemmens and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-05-03 with Mathematics categories.
Guides the reader through the nonlinear Perron-Frobenius theory, introducing them to recent developments and challenging open problems.
Combinatorics Of Minuscule Representations
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Author : R. M. Green
language : en
Publisher: Cambridge University Press
Release Date : 2013-02-21
Combinatorics Of Minuscule Representations written by R. M. Green and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-02-21 with Mathematics categories.
Minuscule representations occur in a variety of contexts in mathematics and physics. They are typically much easier to understand than representations in general, which means they give rise to relatively easy constructions of algebraic objects such as Lie algebras and Weyl groups. This book describes a combinatorial approach to minuscule representations of Lie algebras using the theory of heaps, which for most practical purposes can be thought of as certain labelled partially ordered sets. This leads to uniform constructions of (most) simple Lie algebras over the complex numbers and their associated Weyl groups, and provides a common framework for various applications. The topics studied include Chevalley bases, permutation groups, weight polytopes and finite geometries. Ideal as a reference, this book is also suitable for students with a background in linear and abstract algebra and topology. Each chapter concludes with historical notes, references to the literature and suggestions for further reading.
The Theory Of Hardy S Z Function
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Author : A. Ivić
language : en
Publisher: Cambridge University Press
Release Date : 2013
The Theory Of Hardy S Z Function written by A. Ivić and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013 with Mathematics categories.
A comprehensive account of Hardy's Z-function, one of the most important functions of analytic number theory.