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An Invitation to Unbounded Representations of ∗-Algebras on Hilbert Space, Schmьdgen Konrad


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Автор: Schmьdgen Konrad
Название:  An Invitation to Unbounded Representations of ∗-Algebras on Hilbert Space
ISBN: 9783030463687
Издательство: Springer
Классификация:



ISBN-10: 3030463680
Обложка/Формат: Paperback
Страницы: 381
Вес: 0.56 кг.
Дата издания: 29.07.2021
Язык: English
Размер: 23.39 x 15.60 x 2.08 cm
Ссылка на Издательство: Link
Поставляется из: Германии
Описание: General Notation.- 1 Prologue: The Algebraic Approach to Quantum Theories.- 2 ∗-Algebras.- 3 O*-Algebras.- 4 ∗-Representations.- 5 Positive Linear Functionals.- 6 Representations of Tensor Algebras.- 7 Integrable Representations of Commutative ∗-Algebras.- 8 The Weyl Algebra and the Canonical Commutation Relation.- 9 Integrable Representations of Enveloping Algebras.- 10 Archimedean Quadratic Modules and Positivstellensдtze.- 11 The Operator Relation XX*=F(X*X).- 12 Induced ∗-Representations.- 13 Well-behaved ∗-Representations.- 14 Representations on Rigged Spaces and Hilbert C*-modules. A Unbounded Operators on Hilbert Space.- B C*-Algebras and Representations.- C Locally Convex Spaces and Separation of Convex Sets.- References.- Symbol Index.- Subject Index.


Unbounded Self-Adjoint Operators on Hilbert Space

Автор: Schm?dgen
Название: Unbounded Self-Adjoint Operators on Hilbert Space
ISBN: 9400747527 ISBN-13(EAN): 9789400747524
Издательство: Springer
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Цена: 10480.00 р.
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Описание: The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in mathematical physics (especially, Schroedinger operators) and analysis (Dirichlet and Neumann Laplacians, Sturm-Liouville operators, Hamburger moment problem) .

Infinite-dimensional analysis: operators in hilbert space; stochastic calculus via representations, and duality theory

Автор: Jorgensen, Palle (the Univ Of Iowa, Usa) Tian, James (american Mathematics Society, Usa)
Название: Infinite-dimensional analysis: operators in hilbert space; stochastic calculus via representations, and duality theory
ISBN: 981122577X ISBN-13(EAN): 9789811225772
Издательство: World Scientific Publishing
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Цена: 12672.00 р.
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Описание:

The purpose of this book is to make available to beginning graduate students, and to others, some core areas of analysis which serve as prerequisites for new developments in pure and applied areas. We begin with a presentation (Chapters 1 and 2) of a selection of topics from the theory of operators in Hilbert space, algebras of operators, and their corresponding spectral theory. This is a systematic presentation of interrelated topics from infinite-dimensional and non-commutative analysis; again, with view to applications. Chapter 3 covers a study of representations of the canonical commutation relations (CCRs); with emphasis on the requirements of infinite-dimensional calculus of variations, often referred to as Ito and Malliavin calculus, Chapters 4-6. This further connects to key areas in quantum physics.

A Primer on Hilbert Space Operators

Автор: So?tan
Название: A Primer on Hilbert Space Operators
ISBN: 331992060X ISBN-13(EAN): 9783319920603
Издательство: Springer
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Цена: 6288.00 р.
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Описание:

The book concisely presents the fundamental aspects of the theory of operators on Hilbert spaces. The topics covered include functional calculus and spectral theorems, compact operators, trace class and Hilbert-Schmidt operators, self-adjoint extensions of symmetric operators, and one-parameter groups of operators.

The exposition of the material on unbounded operators is based on a novel tool, called the z-transform, which provides a way to encode full information about unbounded operators in bounded ones, hence making many technical aspects of the theory less involved.

A Primer on Hilbert Space Theory: Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups

Автор: Alabiso Carlo, Weiss Ittay
Название: A Primer on Hilbert Space Theory: Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups
ISBN: 3030674169 ISBN-13(EAN): 9783030674168
Издательство: Springer
Цена: 7965.00 р.
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Описание: This book offers an essential introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics.

Invitation to unbounded representations of  -algebras on hilbert space

Автор: Schmudgen, Konrad
Название: Invitation to unbounded representations of -algebras on hilbert space
ISBN: 3030463656 ISBN-13(EAN): 9783030463656
Издательство: Springer
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Цена: 6567.00 р.
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Описание: General Notation.- 1 Prologue: The Algebraic Approach to Quantum Theories.- 2 ∗-Algebras.- 3 O*-Algebras.- 4 ∗-Representations.- 5 Positive Linear Functionals.- 6 Representations of Tensor Algebras.- 7 Integrable Representations of Commutative ∗-Algebras.- 8 The Weyl Algebra and the Canonical Commutation Relation.- 9 Integrable Representations of Enveloping Algebras.- 10 Archimedean Quadratic Modules and Positivstellensдtze.- 11 The Operator Relation XX*=F(X*X).- 12 Induced ∗-Representations.- 13 Well-behaved ∗-Representations.- 14 Representations on Rigged Spaces and Hilbert C*-modules. A Unbounded Operators on Hilbert Space.- B C*-Algebras and Representations.- C Locally Convex Spaces and Separation of Convex Sets.- References.- Symbol Index.- Subject Index.

Unbounded Self-adjoint Operators on Hilbert Space

Автор: Konrad Schm?dgen
Название: Unbounded Self-adjoint Operators on Hilbert Space
ISBN: 9400797419 ISBN-13(EAN): 9789400797413
Издательство: Springer
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Цена: 9083.00 р.
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Описание: This book explores unbounded self-adjoint operators on Hilbert space and their spectral theory, placing emphasis on applications in mathematical physics and analysis. Addresses advanced topics, and includes many examples and exercises.

Tomita-Takesaki Theory in Algebras of Unbounded Operators

Автор: Atsushi Inoue
Название: Tomita-Takesaki Theory in Algebras of Unbounded Operators
ISBN: 3540651942 ISBN-13(EAN): 9783540651949
Издательство: Springer
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Цена: 6288.00 р.
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Unbounded Operator Algebras and Representation Theory

Автор: K. Schm?dgen
Название: Unbounded Operator Algebras and Representation Theory
ISBN: 3034874715 ISBN-13(EAN): 9783034874717
Издательство: Springer
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Цена: 11173.00 р.
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Описание: *-algebras of unbounded operators in Hilbert space, or more generally algebraic systems of unbounded operators, occur in a natural way in unitary representation theory of Lie groups and in the Wightman formulation of quantum field theory.

Tomita`s Lectures on Observable Algebras in Hilbert Space

Автор: Inoue Atsushi
Название: Tomita`s Lectures on Observable Algebras in Hilbert Space
ISBN: 3030688925 ISBN-13(EAN): 9783030688929
Издательство: Springer
Цена: 7685.00 р.
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Описание: This book is devoted to the study of Tomita`s observable algebras, their structure and applications. It begins by building the foundations of the theory of T*-algebras and CT*-algebras, presenting the major results and investigating the relationship between the operator and vector representations of a CT*-algebra.

Nonlinear Higher Order Differential And Integral Coupled Systems: Impulsive And Integral Equations On Bounded And Unbounded Domains

Автор: Feliz Manuel Minhos, Robert De Sousa
Название: Nonlinear Higher Order Differential And Integral Coupled Systems: Impulsive And Integral Equations On Bounded And Unbounded Domains
ISBN: 9811225125 ISBN-13(EAN): 9789811225123
Издательство: World Scientific Publishing
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Цена: 13464.00 р.
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Описание: Boundary value problems on bounded or unbounded intervals, involving two or more coupled systems of nonlinear differential and integral equations with full nonlinearities, are scarce in the literature. The present work by the authors desires to fill this gap. The systems covered here include differential and integral equations of Hammerstein-type with boundary constraints, on bounded or unbounded intervals. These are presented in several forms and conditions (three points, mixed, with functional dependence, homoclinic and heteroclinic, amongst others). This would be the first time that differential and integral coupled systems are studied systematically. The existence, and in some cases, the localization of the solutions are carried out in Banach space, following several types of arguments and approaches such as Schauder's fixed-point theorem or Guo-Krasnosel'ski? fixed-point theorem in cones, allied to Green's function or its estimates, lower and upper solutions, convenient truncatures, the Nagumo condition presented in different forms, the concept of equiconvergence, Caratheodory functions, and sequences. Moreover, the final part in the volume features some techniques on how to relate differential coupled systems to integral ones, which require less regularity. Parallel to the theoretical explanation of this work, there is a range of practical examples and applications involving real phenomena, focusing on physics, mechanics, biology, forestry, and dynamical systems, which researchers and students will find useful.

Unbounded Functionals in the Calculus of Variations

Автор: Carbone, Luciano , De Arcangelis, Riccardo
Название: Unbounded Functionals in the Calculus of Variations
ISBN: 0367455072 ISBN-13(EAN): 9780367455071
Издательство: Taylor&Francis
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Цена: 9492.00 р.
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Описание: Over the last few decades, research in elastic-plastic torsion theory, electrostatic screening, and rubber-like nonlinear elastomers has pointed the way to some interesting new classes of minimum problems for energy functionals of the calculus of variations. This advanced-level monograph addresses these issues by developing the framework of a gener

A Glimpse at Hilbert Space Operators

Автор: Sheldon Axler; Peter Rosenthal; Donald Sarason
Название: A Glimpse at Hilbert Space Operators
ISBN: 3034803109 ISBN-13(EAN): 9783034803106
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This commemorative volume honors mathematician Paul R. Halmos, whose research, unparalleled mathematical exposition, and dedication to service made a major impact on the mathematics community. Various articles discuss his contributions to the operator theory.


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