Numerical ranges of hilbert space operators, Gau, Hwa-long (national Central University, Taiwan) Wu, Pei Yuan (national Chiao Tung University, Taiwan)

Автор: Avraham Feintuch
Название: Robust Control Theory in Hilbert Space
ISBN: 146126829X ISBN-13(EAN): 9781461268291
Издательство: Springer
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Цена: 93160.00 T
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Описание: An operator theoretic approach to robust control analysis for linear time-varying systems, with the emphasis on the conceptual similarity with the H control theory for time-invariant systems.

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: 43780.00 T
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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.

Автор: Berger Laurent
Название: Elliptic Curves, Hilbert Modular Forms and Galois Deformatio
ISBN: 3034806175 ISBN-13(EAN): 9783034806176
Издательство: Springer
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Цена: 27940.00 T
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Описание: This book details recent developments and major changes in Galois deformation theory during the last decade, including deformations of pseudo-representations, framed deformations, and groupoids.

Автор: Henri Lombardi, Daniel Perrucci, Marie-Francoise Roy
Название: An Elementary Recursive Bound for Effective Positivstellensatz and Hilbert`s 17th Problem
ISBN: 147044108X ISBN-13(EAN): 9781470441081
Издательство: Mare Nostrum (Eurospan)
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Цена: 71060.00 T
Наличие на складе: Нет в наличии.
Описание: The authors prove an elementary recursive bound on the degrees for Hilbert's 17th problem. More precisely they express a nonnegative polynomial as a sum of squares of rational functions and obtain as degree estimates for the numerators and denominators the following tower of five exponentials $ 2^{ 2^{ 2^{d^{4^{k}}} } } $ where $d$ is the number of variables of the input polynomial. The authors' method is based on the proof of an elementary recursive bound on the degrees for Stengle's Positivstellensatz. More precisely the authors give an algebraic certificate of the emptyness of the realization of a system of sign conditions and obtain as degree bounds for this certificate a tower of five exponentials, namely $ 2^{ 2^{\left(2^{\max\{2,d\}^{4^{k}}}+ s^{2^{k}}\max\{2, d\}^{16^{k}{\mathrm bit}(d)} \right)} } $ where $d$ is a bound on the degrees, $s$ is the number of polynomials and $k$ is the number of variables of the input polynomials.