Download or read book Nonarchimedean Functional Analysis written by Peter Schneider and published by Springer Science & Business Media. This book was released on 2001-11-20 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of a course which I gave during the winter term 1997/98 at the Universitat Munster. The course covered the material which here is presented in the first three chapters. The fourth more advanced chapter was added to give the reader a rather complete tour through all the important aspects of the theory of locally convex vector spaces over nonarchimedean fields. There is one serious restriction, though, which seemed inevitable to me in the interest of a clear presentation. In its deeper aspects the theory depends very much on the field being spherically complete or not. To give a drastic example, if the field is not spherically complete then there exist nonzero locally convex vector spaces which do not have a single nonzero continuous linear form. Although much progress has been made to overcome this problem a really nice and complete theory which to a large extent is analogous to classical functional analysis can only exist over spherically complete field8. I therefore allowed myself to restrict to this case whenever a conceptual clarity resulted. Although I hope that thi8 text will also be useful to the experts as a reference my own motivation for giving that course and writing this book was different. I had the reader in mind who wants to use locally convex vector spaces in the applications and needs a text to quickly gra8p this theory.
Download or read book Nonarchimedean Functional Analysis written by Peter Schneider and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 159 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book grew out of a course which I gave during the winter term 1997/98 at the Universitat Munster. The course covered the material which here is presented in the first three chapters. The fourth more advanced chapter was added to give the reader a rather complete tour through all the important aspects of the theory of locally convex vector spaces over nonarchimedean fields. There is one serious restriction, though, which seemed inevitable to me in the interest of a clear presentation. In its deeper aspects the theory depends very much on the field being spherically complete or not. To give a drastic example, if the field is not spherically complete then there exist nonzero locally convex vector spaces which do not have a single nonzero continuous linear form. Although much progress has been made to overcome this problem a really nice and complete theory which to a large extent is analogous to classical functional analysis can only exist over spherically complete field8. I therefore allowed myself to restrict to this case whenever a conceptual clarity resulted. Although I hope that thi8 text will also be useful to the experts as a reference my own motivation for giving that course and writing this book was different. I had the reader in mind who wants to use locally convex vector spaces in the applications and needs a text to quickly gra8p this theory.
Download or read book Non Archimedean Functional Analysis written by Arnoud C. M. Rooij and published by . This book was released on 1978 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Basic Non Archimedean Functional Analysis Over a Non Archimedean Field R c written by Jaykov Foukzon and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in Non Archimedean Analysis written by Jesus Araujo-Gomez and published by American Mathematical Soc.. This book was released on 2011 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: These collected articles feature recent developments in various areas of non-Archimedean analysis: Hilbert and Banach spaces, finite dimensional spaces, topological vector spaces and operator theory, strict topologies, spaces of continuous functions and of strictly differentiable functions, isomorphisms between Banach functions spaces, and measure and integration.
Download or read book Studies in Nonarchimedean Functional Analysis written by Andrew W. Logan and published by . This book was released on 1974 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advances in Non Archimedean Analysis written by Helge Glöckner and published by American Mathematical Soc.. This book was released on 2016-05-20 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book p adic Functional Analysis written by N. De Grande-De Kimpe and published by CRC Press. This book was released on 1999-07-07 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: A presentation of results in p-adic Banach spaces, spaces over fields with an infinite rank valuation, Frechet (and locally convex) spaces with Schauder bases, function spaces, p-adic harmonic analysis, and related areas. It showcases research results in functional analysis over nonarchimedean valued complete fields. It explores spaces of continuous functions, isometries, Banach Hopf algebras, summability methods, fractional differentiation over local fields, and adelic formulas for gamma- and beta-functions in algebraic number theory.
Download or read book Locally Convex Spaces over Non Archimedean Valued Fields written by C. Perez-Garcia and published by Cambridge University Press. This book was released on 2010-01-07 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Non-Archimedean functional analysis, where alternative but equally valid number systems such as p-adic numbers are fundamental, is a fast-growing discipline widely used not just within pure mathematics, but also applied in other sciences, including physics, biology and chemistry. This book is the first to provide a comprehensive treatment of non-Archimedean locally convex spaces. The authors provide a clear exposition of the basic theory, together with complete proofs and new results from the latest research. A guide to the many illustrative examples provided, end-of-chapter notes and glossary of terms all make this book easily accessible to beginners at the graduate level, as well as specialists from a variety of disciplines.
Download or read book Functional Analysis and Valuation Theory written by Lawrence Narici and published by CRC Press. This book was released on 1971-06-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents functional analysis over arbitrary valued fields and investigates normed spaces and algebras over fields with valuation, with attention given to the case when the norm and the valuation are nonarchimedean. It considers vector spaces over fields with nonarchimedean valuation.
Download or read book p adic Functional Analysis written by W.H. Schikhof and published by CRC Press. This book was released on 1997-06-09 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Contains research articles by nearly 40 leading mathematicians from North and South America, Europe, Africa, and Asia, presented at the Fourth International Conference on p-adic Functional Analysis held recently in Nijmegen, The Netherlands. Includes numerous new open problems documented with extensive comments and references."
Download or read book Non Archimedean Analysis written by Siegfried Bosch and published by Springer. This book was released on 2012-06-28 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: : So eine Illrbeit witb eigentIid) nie rertig, man muli iie fur fertig erfHiren, wenn man nad) 8eit nnb Umftiinben bas moglid)fte get an qat. (@oetqe
Download or read book Non Archimedean Operator Theory written by Toka Diagana and published by Springer. This book was released on 2016-04-07 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book p adic Functional Analysis written by W.H. Schikhof and published by CRC Press. This book was released on 2020-11-26 with total page 419 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Contains research articles by nearly 40 leading mathematicians from North and South America, Europe, Africa, and Asia, presented at the Fourth International Conference on p-adic Functional Analysis held recently in Nijmegen, The Netherlands. Includes numerous new open problems documented with extensive comments and references."
Download or read book Elements of Non Linear Functional Analysis written by Richard A. Graff and published by American Mathematical Soc.. This book was released on 1978 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new notion of Frechet differentiability is introduced for maps between Banach spaces which are dual spaces, and it is shown that diffeomorphisms in the class of mappings thus isolated preserve the bounded weak-star topology as well as the ordinary metric topology. Basic Banach manifold differential topology is redeveloped under the assumption that the transition functions between the coordinate charts possess this refined type of differentiability, and it is pointed out that such manifolds possess additional structures not found on general manifolds: for example, a globally defined weaker topology, and Finsler metrics in which boundedness is equivalent to compact closure in the global weaker topology.
Download or read book Advances in Non Archimedean Analysis written by Jesus Araujo-Gomez and published by American Mathematical Soc.. This book was released on 2011 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Remembering Nicole De Grande-De Kimpe (1936-2008)"--P. 1-32.
Download or read book p adic Function Analysis written by Jose M. Bayod and published by CRC Press. This book was released on 2020-12-17 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Written by accomplished and well-known researchers in the field, this unique volume discusses important research topics on p-adic functional analysis and closely related areas, provides an authoritative overview of the main investigative fronts where developments are expected in the future, and more. "
