Non-Archimedean Operator Theory

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Release : 2016-04-07
Genre : Mathematics
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Book Rating : 23X/5 ( reviews)

Non-Archimedean Operator Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Archimedean Operator Theory write by Toka Diagana. This book was released on 2016-04-07. Non-Archimedean Operator Theory available in PDF, EPUB and Kindle. This book focuses on the theory of linear operators on non-Archimedean Banach spaces. The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators. The theory of Fredholm operators is emphasized and used as an important tool in the study of the spectral theory of non-Archimedean operators. Explicit descriptions of the spectra of some operators are worked out. Moreover, detailed background materials on non-Archimedean valued fields and free non-Archimedean Banach spaces are included for completeness and for reference. The readership of the book is aimed toward graduate and postgraduate students, mathematicians, and non-mathematicians such as physicists and engineers who are interested in non-Archimedean functional analysis. Further, it can be used as an introduction to the study of non-Archimedean operator theory in general and to the study of spectral theory in other special cases.

Non-Archimedean Linear Operators and Applications

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Release : 2007
Genre : Mathematics
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Book Rating : 059/5 ( reviews)

Non-Archimedean Linear Operators and Applications - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Non-Archimedean Linear Operators and Applications write by Toka Diagana. This book was released on 2007. Non-Archimedean Linear Operators and Applications available in PDF, EPUB and Kindle. This self-contained book provides the reader with a comprehensive presentation of recent investigations on operator theory over non-Archimedean Banach and Hilbert spaces. This includes, non-Archimedean valued fields, bounded and unbounded linear operators, bilinear forms, functions of linear operators and one-parameter families of bounded linear operators on free branch spaces.

Frames and Operator Theory in Analysis and Signal Processing

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Release : 2008
Genre : Mathematics
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Book Rating : 440/5 ( reviews)

Frames and Operator Theory in Analysis and Signal Processing - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Frames and Operator Theory in Analysis and Signal Processing write by David R. Larson. This book was released on 2008. Frames and Operator Theory in Analysis and Signal Processing available in PDF, EPUB and Kindle. This volume contains articles based on talks presented at the Special Session Frames and Operator Theory in Analysis and Signal Processing, held in San Antonio, Texas, in January of 2006.

Ultrametric Functional Analysis

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Release : 2003
Genre : Mathematics
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Book Rating : 200/5 ( reviews)

Ultrametric Functional Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Ultrametric Functional Analysis write by Wilhelmus Hendricus Schikhof. This book was released on 2003. Ultrametric Functional Analysis available in PDF, EPUB and Kindle. This volume contains research articles based on lectures given at the Seventh International Conference on $p$-adic Functional Analysis. The articles, written by leading international experts, provide a complete overview of the latest contributions in basic functional analysis (Hilbert and Banach spaces, locally convex spaces, orthogonality, inductive limits, spaces of continuous functions, strict topologies, operator theory, automatic continuity, measure and integrations, Banach and topological algebras, summability methods, and ultrametric spaces), analytic functions (meromorphic functions, roots of rational functions, characterization of injective holomorphic functions, and Gelfand transforms in algebras of analytic functions), differential equations, Banach-Hopf algebras, Cauchy theory of Levi-Civita fields, finite differences, weighted means, $p$-adic dynamical systems, and non-Archimedean probability theory and stochastic processes. The book is written for graduate students and research mathematicians. It also would make a good reference source for those in related areas, such as classical functional analysis, complex analytic functions, probability theory, dynamical systems, orthomodular spaces, number theory, and representations of $p$-adic groups.

An Indefinite Excursion in Operator Theory

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Release : 2022-07-28
Genre : Mathematics
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Book Rating : 038/5 ( reviews)

An Indefinite Excursion in Operator Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Indefinite Excursion in Operator Theory write by Aurelian Gheondea. This book was released on 2022-07-28. An Indefinite Excursion in Operator Theory available in PDF, EPUB and Kindle. Presents a modern, readable introduction to spaces with indefinite inner product and their operator theory.