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.
Non-Archimedean Operator Theory
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.
Spectral Theory and Analytic Geometry over Non-Archimedean Fields
Spectral Theory and Analytic Geometry over Non-Archimedean Fields - 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 Spectral Theory and Analytic Geometry over Non-Archimedean Fields write by Vladimir G. Berkovich. This book was released on 2012-08-02. Spectral Theory and Analytic Geometry over Non-Archimedean Fields available in PDF, EPUB and Kindle. The purpose of this book is to introduce a new notion of analytic space over a non-Archimedean field. Despite the total disconnectedness of the ground field, these analytic spaces have the usual topological properties of a complex analytic space, such as local compactness and local arcwise connectedness. This makes it possible to apply the usual notions of homotopy and singular homology. The book includes a homotopic characterization of the analytic spaces associated with certain classes of algebraic varieties and an interpretation of Bruhat-Tits buildings in terms of these analytic spaces. The author also studies the connection with the earlier notion of a rigid analytic space. Geometrical considerations are used to obtain some applications, and the analytic spaces are used to construct the foundations of a non-Archimedean spectral theory of bounded linear operators. This book requires a background at the level of basic graduate courses in algebra and topology, as well as some familiarity with algebraic geometry. It would be of interest to research mathematicians and graduate students working in algebraic geometry, number theory, and -adic analysis.
Dynamics of Linear Operators
Dynamics of Linear Operators - 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 Dynamics of Linear Operators write by Frédéric Bayart. This book was released on 2009-06-04. Dynamics of Linear Operators available in PDF, EPUB and Kindle. The first book to assemble the wide body of theory which has rapidly developed on the dynamics of linear operators. Written for researchers in operator theory, but also accessible to anyone with a reasonable background in functional analysis at the graduate level.
Advances in Non-Archimedean Analysis
Advances in Non-Archimedean 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 Advances in Non-Archimedean Analysis write by Helge Glöckner. This book was released on 2016-05-20. Advances in Non-Archimedean Analysis available in PDF, EPUB and Kindle. This volume contains the Proceedings of the 13th International Conference on p-adic Functional Analysis, held from August 12–16, 2014, at the University of Paderborn, Paderborn, Germany. The articles included in this book feature recent developments in various areas of non-Archimedean analysis, non-Archimedean functional analysis, representation theory, number theory, non-Archimedean dynamical systems and applications. Through a combination of new research articles and survey papers, this book provides the reader with an overview of current developments and techniques in non-Archimedean analysis as well as a broad knowledge of some of the sub-areas of this exciting and fast-developing research area.
