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Invitation to unbounded representations of -algebras on hilbert space, Schmudgen, Konrad


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Автор: Schmudgen, Konrad
Название:  Invitation to unbounded representations of -algebras on hilbert space
ISBN: 9783030463656
Издательство: Springer
Классификация:



ISBN-10: 3030463656
Обложка/Формат: Hardcover
Страницы: 383
Вес: 0.69 кг.
Дата издания: 18.09.2020
Серия: Graduate texts in mathematics
Язык: English
Издание: 1st ed. 2020
Иллюстрации: 9 illustrations, black and white; xviii, 381 p. 9 illus.
Размер: 23.39 x 15.60 x 2.24 cm
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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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) .

Twenty-First Century Quantum Mechanics: Hilbert Space to Qua

Автор: Fano Guido
Название: Twenty-First Century Quantum Mechanics: Hilbert Space to Qua
ISBN: 3319587315 ISBN-13(EAN): 9783319587318
Издательство: Springer
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Цена: 7965.00 р.
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Описание: Finally, progression toward quantum computation is examined in detail: if quantum computers can be made practicable, enormous enhancements in computing power, artificial intelligence, and secure communication will result.

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 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.

Functional Analysis: Entering Hilbert Space (Second Edition)

Автор: Hansen Vagn Lundsgaard
Название: Functional Analysis: Entering Hilbert Space (Second Edition)
ISBN: 981473392X ISBN-13(EAN): 9789814733922
Издательство: World Scientific Publishing
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Цена: 7603.00 р.
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Описание: This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces.

Spinors in Hilbert Space

Автор: Paul Dirac
Название: Spinors in Hilbert Space
ISBN: 1475700369 ISBN-13(EAN): 9781475700367
Издательство: Springer
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Цена: 13060.00 р.
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Описание: Hilbert Space The words "Hilbert space" here will always denote what math- ematicians call a separable Hilbert space. It is again a Hilbert vector, but it is a real Hilbert vector, with only real coordinates. Thus a complex Hilbert vector uniquely determines a real Hilbert vector.

Twenty-First Century Quantum Mechanics: Hilbert Space to Quantum Computers: Mathematical Methods and Conceptual Foundations

Автор: Fano Guido, Blinder S. M.
Название: Twenty-First Century Quantum Mechanics: Hilbert Space to Quantum Computers: Mathematical Methods and Conceptual Foundations
ISBN: 3319864645 ISBN-13(EAN): 9783319864648
Издательство: Springer
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Цена: 6567.00 р.
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Описание: Finally, progression toward quantum computation is examined in detail: if quantum computers can be made practicable, enormous enhancements in computing power, artificial intelligence, and secure communication will result.

Robust Control Theory in Hilbert Space

Автор: Avraham Feintuch
Название: Robust Control Theory in Hilbert Space
ISBN: 0387982914 ISBN-13(EAN): 9780387982915
Издательство: Springer
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Цена: 19564.00 р.
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Описание: Presents an operator theoretic approach to robust control analysis for linear time-varying systems. This book emphasizes the conceptual similarity with the H control theory for time-invariant systems. It is suitable for those interested in the potential applications of operator theory in control.

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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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.

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.


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