Operator Theory And Arithmetic In H Infinity
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Operator Theory And Arithmetic In H Infinity
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Author : Hari Bercovici
language : en
Publisher: American Mathematical Soc.
Release Date : 1988
Operator Theory And Arithmetic In H Infinity written by Hari Bercovici and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Mathematics categories.
Jordan's classification theorem for linear transformations on a finite-dimensional vector space is a natural highlight of the deep relationship between linear algebra and the arithmetical properties of polynomial rings. Because the methods and results of finite-dimensional linear algebra seldom extend to or have analogs in infinite-dimensional operator theory, it is therefore remarkable to have a class of operators which has a classification theorem analogous to Jordan's classical result and has properties closely related to the arithmetic of the ring $H^{\infty}$ of bounded analytic functions in the unit disk. $C_0$ is such a class and is the central object of study in this book.A contraction operator belongs to $C_0$ if and only if the associated functional calculus on $H^{\infty}$ has a nontrivial kernel. $C_0$ was discovered by Bela Sz.-Nagy and Ciprian Foias in their work on canonical models for contraction operators on Hilbert space. Besides their intrinsic interest and direct applications, operators of class $C_0$ are very helpful in constructing examples and counterexamples in other branches of operator theory. In addition, $C_0$ arises in certain problems of control and realization theory.In this survey work, the author provides a unified and concise presentation of a subject that was covered in many articles. The book describes the classification theory of $C_0$ and relates this class to other subjects such as general dilation theory, stochastic realization, representations of convolution algebras, and Fredholm theory. This book should be of interest to operator theorists as well as theoretical engineers interested in the applications of operator theory. In an effort to make the book as self-contained as possible, the author gives an introduction to the theory of dilations and functional models for contraction operators. Prerequisites for this book are a course in functional analysis and an acquaintance with the theory of Hardy spaces in the unit disk. In addition, knowledge of the trace class of operators is necessary in the chapter on weak contractions.
Recent Advances In Operator Theory Operator Algebras And Their Applications
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Author : Dumitru Gaspar
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30
Recent Advances In Operator Theory Operator Algebras And Their Applications written by Dumitru Gaspar and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-03-30 with Mathematics categories.
This book offers peer-reviewed articles from the 19th International Conference on Operator Theory, Summer 2002. It contains recent developments in a broad range of topics from operator theory, operator algebras and their applications, particularly to differential analysis, complex functions, ergodic theory, mathematical physics, matrix analysis, and systems theory. The book covers a large variety of topics including single operator theory, C*-algebras, diffrential operators, integral transforms, stochastic processes and operators, and more.
Operator Theory And Arithmetic In H Infinite
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Author : Hari Bercovici
language : en
Publisher:
Release Date : 1988
Operator Theory And Arithmetic In H Infinite written by Hari Bercovici and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
American Book Publishing Record
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Author :
language : en
Publisher:
Release Date : 2006
American Book Publishing Record written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with American literature categories.
Book Review Index Cumulation 1989
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Author : Neil E. Walker
language : en
Publisher: Gale Cengage
Release Date : 1990-04
Book Review Index Cumulation 1989 written by Neil E. Walker and has been published by Gale Cengage this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-04 with Literary Collections categories.
The Index provides a broad coverage and access to book reviews in the general social sciences, humanities, sciences, and fine arts, as well as general interest magazines and includes journals from Great Britain, Canada, Switzerland, Israel and Australia. In addition, it indexes several journals that, while published in the US, concentrate on reviewing foreign published or foreign language books. These include Hispania, French Review, German Quarterly and World Literature Today.
Number Theory
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Author : H. Kisilevsky
language : en
Publisher: American Mathematical Soc.
Release Date :
Number Theory written by H. Kisilevsky and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
This volume contains a collection of articles from the meeting of the Canadian Number Theory Association held at the Centre de Recherches Mathematiques (CRM) at the University of Montreal. The book represents a cross section of current research and new results in number theory. Topics covered include algebraic number theory, analytic number theory, arithmetic algebraic geometry, computational number theory, and Diophantine analysis and approximation. The volume contains both research andexpository papers suitable for graduate students and researchers interested in number theory.
Federal Grants And Contracts For Unclassified Research In The Life Sciences
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Author : National Science Foundation (U.S.)
language : en
Publisher:
Release Date : 1955
Federal Grants And Contracts For Unclassified Research In The Life Sciences written by National Science Foundation (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with Biology categories.
Issue for Fiscal year 1954 accompanied by separately published section with title: Projects listed by agencies.
Grants And Awards For Fiscal Year
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Author : National Science Foundation (U.S.)
language : en
Publisher:
Release Date : 1979
Grants And Awards For Fiscal Year written by National Science Foundation (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Federal aid to research categories.
Federal Grants And Contracts For Unclassified Research In The Physical Sciences
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Author : National Science Foundation (U.S.)
language : en
Publisher:
Release Date : 1955
Federal Grants And Contracts For Unclassified Research In The Physical Sciences written by National Science Foundation (U.S.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1955 with categories.
Federal Grants And Contracts For Unclassified Research In The Physical Sciences
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Author :
language : en
Publisher:
Release Date : 1954
Federal Grants And Contracts For Unclassified Research In The Physical Sciences written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1954 with Grants-in-aid categories.