Nonselfadjoint Operator Algebras, Operator Theory, and Related Topics, H. Bercovicii; Ciprian I. Foias

Автор: A. Feintuch; I. Gohberg
Название: Nonselfadjoint Operators and Related Topics
ISBN: 3034896638 ISBN-13(EAN): 9783034896634
Издательство: Springer
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Цена: 46570.00 T
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Описание: Our goal is to find Grabner bases for polynomials in four different sets of expressions: 1 x-, (1 - x)-1 (RESOL) X, 1 x- (1 - xy)-1 (EB) X, y-1, (1-yx)-1 y, (1_y)-1 (1-x)-1 (preNF) (EB) plus and (1 - xy)1/2 (1 - yx )1/2 (NF) (preNF) plus and Most formulas in the theory of the Nagy-Foias operator model NF] are polynomials in these expressions where x = T and y = T*. Complicated polynomials can often be simplified by applying "replacement rules". For example, the polynomial (1 - xy)-2 - 2xy(1-xy)-2 + xy2 (1 - xy)-2 -1 simplifies to O. This can be seen by three applications of the replacement rule (1-xy) -1 xy -t (1 - xy)-1 -1 which is true because of the definition of (1-xy)-1. A replacement rule consists of a left hand side (LHS) and a right hand side (RHS). The LHS will always be a monomial. The RHS will be a polynomial whose terms are "simpler" (in a sense to be made precise) than the LHS. An expression is reduced by repeatedly replacing any occurrence of a LHS by the corresponding RHS. The monomials will be well-ordered, so the reduction procedure will terminate after finitely many steps. Our aim is to provide a list of substitution rules for the classes of expressions above. These rules, when implemented on a computer, provide an efficient automatic simplification process. We discuss and define the ordering on monomials later.

Автор: M.S. Livsic; N. Kravitsky; A.S. Markus; V. Vinniko
Название: Theory of Commuting Nonselfadjoint Operators
ISBN: 0792335880 ISBN-13(EAN): 9780792335887
Издательство: Springer
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Цена: 102480.00 T
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Описание: Proposing a rigorous mathematical definition of the physical concept of a particle, this book obtains a concrete image of a particle conceived as a localised entity in space. It is intended for researchers and postgraduate students in operator theory, system theory, quantum physics and algebraic geometry.

Автор: M.S. Livsic; N. Kravitsky; A.S. Markus; V. Vinniko
Название: Theory of Commuting Nonselfadjoint Operators
ISBN: 9048145856 ISBN-13(EAN): 9789048145850
Издательство: Springer
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Автор: Moshe S. Livsic; Leonid L. Waksman
Название: Commuting Nonselfadjoint Operators in Hilbert Space
ISBN: 3540183167 ISBN-13(EAN): 9783540183167
Издательство: Springer
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Цена: 23280.00 T
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Автор: Laszlo Kerchy; Ciprian I. Foias; Izrael Gohberg; H
Название: Recent Advances in Operator Theory and Related Topics
ISBN: 3764366079 ISBN-13(EAN): 9783764366070
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Цена: 186330.00 T
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Описание: These 35 refereed articles report on recent and original results in various areas of operator theory and connected fields, many of them strongly related to contributions of Sz.-Nagy. The scientific part of the book is preceeded by fifty pages of biographical material, including several photos.

Автор: Daniel Alpay; Victor Vinnikov
Название: Operator Theory, System Theory and Related Topics
ISBN: 3034894910 ISBN-13(EAN): 9783034894913
Издательство: Springer
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Цена: 139750.00 T
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Описание: This volume presents the refereed proceedings of the Conference in Operator The- ory in Honour of Moshe Livsic 80th Birthday, held June 29 to July 4, 1997, at the Ben-Gurion University of the Negev (Beer-Sheva, Israel) and at the Weizmann In- stitute of Science (Rehovot, Israel).

Автор: V.M. Adamyan; Israel Gohberg; Myroslav L. Gorbachu
Название: Operator Theory and Related Topics
ISBN: 3034895577 ISBN-13(EAN): 9783034895576
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Цена: 139750.00 T
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Описание: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v Table of Contents . vii Bibliography of Mark Grigorevich Krein . Krein . Tkachenko Extreme Points of a Positive Operator Ball . Ando M-accretive Extensions of Sectorial Operators and Krein Spaces . Arlinskii A Simple Proof of the Continuous Commutant Lifting Theorem .

Автор: Laszlo Kerchy; Ciprian I. Foias; Izrael Gohberg; H
Название: Recent Advances in Operator Theory and Related Topics
ISBN: 3034895399 ISBN-13(EAN): 9783034895392
Издательство: Springer
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Цена: 139750.00 T
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Описание: These 35 refereed articles report on recent and original results in various areas of operator theory and connected fields, many of them strongly related to contributions of Sz.-Nagy. The scientific part of the book is preceeded by fifty pages of biographical material, including several photos.

Автор: Harry Dym; Marinus A. Kaashoek; Peter Lancaster; H
Название: A Panorama of Modern Operator Theory and Related Topics
ISBN: 3034807899 ISBN-13(EAN): 9783034807890
Издательство: Springer
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Описание: Included are contributions to single and multivariable operator theory, commutative and non-commutative Banach algebra theory, the theory of matrix polynomials and analytic vector-valued functions, several variable complex function theory, and the theory of structured matrices and operators.

Автор: V.M. Adamyan; Israel Gohberg; Myroslav L. Gorbachu
Название: Operator Theory and Related Topics
ISBN: 376436288X ISBN-13(EAN): 9783764362881
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Цена: 176970.00 T
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Описание: The Mark Krein International Conference on Operator Theory and Applications, which was dedicated to the 90th anniversary of the prominent mathematician Mark Krein, was held in Odessa, Ukraine, from August 18-22, 1997 to focus on the main ideas, methods, results, and achievements of M G Krein. This book presents the proceedings of the conference.

Автор: Calvin C. Moore
Название: Group Representations, Ergodic Theory, Operator Algebras, and Mathematical Physics
ISBN: 1461291305 ISBN-13(EAN): 9781461291305
Издательство: Springer
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Цена: 111790.00 T
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Описание: The conference was attended by over one hundred people and the participants included five mathematical generations Professor Mackey`s mathematical father, Marshall Stone, many mathematical children, grandchildren, and at least one mathematical great-grandchild.

Автор: K. Schm?dgen
Название: Unbounded Operator Algebras and Representation Theory
ISBN: 3034874715 ISBN-13(EAN): 9783034874717
Издательство: Springer
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Цена: 74490.00 T
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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.