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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.

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.

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.

Unbounded weighted composition operators in l(2)-spaces

Автор: Budzynski, Piotr Jablonski, Zenon Jung, Il Bong Stochel, Jan
Название: Unbounded weighted composition operators in l(2)-spaces
ISBN: 3319740385 ISBN-13(EAN): 9783319740386
Издательство: Springer
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Цена: 6288.00 р.
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Описание:

This book establishes the foundations of the theory of bounded and unbounded weighted composition operators in L -spaces. It develops the theory in full generality, meaning that the corresponding composition operators are not assumed to be well defined. A variety of seminormality properties of unbounded weighted composition operators are characterized.

The first-ever criteria for subnormality of unbounded weighted composition operators are provided and the subtle interplay between the classical moment problem, graph theory and the injectivity problem for weighted composition operators is revealed. The relationships between weighted composition operators and the corresponding multiplication and composition operators are investigated. The optimality of the obtained results is illustrated by a variety of examples, including those of discrete and continuous types.

The book is primarily aimed at researchers in single or multivariable operator theory.

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.

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.

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

Hilbert Space Operators in Quantum Physics

Автор: Jir? Blank; Pavel Exner; Miloslav Havl?cek
Название: Hilbert Space Operators in Quantum Physics
ISBN: 1402088698 ISBN-13(EAN): 9781402088698
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Explains the theory of linear Hilbert-space operators and their use in quantum physics. This book focuses on the spectral theory of self-adjoint operators. It discusses logical building of the operator structure of quantum theory as well as its practical aspects, such as spectral properties of quantum mechanical Hamiltonians and scattering theory.


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