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Extension Problems and Stable Ranks

Extension Problems and Stable Ranks
Author: Raymond Mortini
Publisher: Springer Nature
Total Pages: 2197
Release: 2021-08-02
Genre: Mathematics
ISBN: 3030738728

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This self-contained encyclopedic monograph gives a detailed introduction to Bézout equations and stable ranks, encompassing and explaining needed topological, analytical, and algebraic tools and methods. Some of the highlights included are Carleson's corona theorem and the Bass, topological, and matricial stable ranks. The first volume focusses on topological structures, Banach algebras, and advanced function theory, thus preparing the stage for the algebraic structures in the second volume towards examining stable ranks with analytic methods. The main emphasis is laid on algebras of holomorphic functions. Often a new approach is presented or at least a different angle of sight, which makes the book attractive both for researchers and students interested in these active fields of research.


Function Spaces

Function Spaces
Author: Krzysztof Jarov
Publisher: CRC Press
Total Pages: 450
Release: 1991-12-23
Genre: Mathematics
ISBN: 9780824786120

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This book is based on the conference on Function Spaces held at Southern Illinois University at Edwardsville, in April, 1990. It is designed to cover a wide range of topics, including spaces of analytic functions, isometries of function spaces, geometry of Banach spaces, and Banach algebras.


Multivariable Operator Theory

Multivariable Operator Theory
Author: Ernst Albrecht
Publisher: Springer Nature
Total Pages: 893
Release: 2024-01-22
Genre: Mathematics
ISBN: 3031505352

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Over the course of his distinguished career, Jörg Eschmeier made a number of fundamental contributions to the development of operator theory and related topics. The chapters in this volume, compiled in his memory, are written by distinguished mathematicians and pay tribute to his many significant and lasting achievements.


Encyclopedia of Algorithms

Encyclopedia of Algorithms
Author: Ming-Yang Kao
Publisher: Springer Science & Business Media
Total Pages: 1200
Release: 2008-08-06
Genre: Computers
ISBN: 0387307702

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One of Springer’s renowned Major Reference Works, this awesome achievement provides a comprehensive set of solutions to important algorithmic problems for students and researchers interested in quickly locating useful information. This first edition of the reference focuses on high-impact solutions from the most recent decade, while later editions will widen the scope of the work. All entries have been written by experts, while links to Internet sites that outline their research work are provided. The entries have all been peer-reviewed. This defining reference is published both in print and on line.


Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem

Rigidity in Higher Rank Abelian Group Actions: Volume 1, Introduction and Cocycle Problem
Author: Anatole Katok
Publisher: Cambridge University Press
Total Pages: 320
Release: 2011-06-16
Genre: Mathematics
ISBN: 1139496867

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This self-contained monograph presents rigidity theory for a large class of dynamical systems, differentiable higher rank hyperbolic and partially hyperbolic actions. This first volume describes the subject in detail and develops the principal methods presently used in various aspects of the rigidity theory. Part I serves as an exposition and preparation, including a large collection of examples that are difficult to find in the existing literature. Part II focuses on cocycle rigidity, which serves as a model for rigidity phenomena as well as a useful tool for studying them. The book is an ideal reference for applied mathematicians and scientists working in dynamical systems and a useful introduction for graduate students interested in entering the field. Its wealth of examples also makes it excellent supplementary reading for any introductory course in dynamical systems.


Parameterized and Exact Computation

Parameterized and Exact Computation
Author: Jianer Chen
Publisher: Springer Science & Business Media
Total Pages: 345
Release: 2010-01-08
Genre: Computers
ISBN: 3642112684

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This book constitutes the refereed best selected papers of the 4th International Workshop on Parameterized and Exact Computation, IWPEC 2009, held in Copenhagen, Denmark, in September 2009. The 25 revised full papers presented together with 2 invited talks were carefully reviewed and selected from 52 submissions. The topics addressed cover research in all aspects of parameterized and exact computation and complexity, including but not limited to new techniques for the design and analysis of parameterized and exact algorithms, parameterized complexity theory, relationship between parameterized complexity and traditional complexity classifications, applications of parameterized and exact computation, implementation issues of parameterized and exact algorithms, high-performance computing and fixed-parameter tractability.


Serre's Problem on Projective Modules

Serre's Problem on Projective Modules
Author: T.Y. Lam
Publisher: Springer Science & Business Media
Total Pages: 412
Release: 2010-05-17
Genre: Mathematics
ISBN: 3540345752

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An invaluable summary of research work done in the period from 1978 to the present