Functors and Categories of Banach Spaces
Author | : P.W. Michor |
Publisher | : Springer |
Total Pages | : 104 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540358471 |
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Author | : P.W. Michor |
Publisher | : Springer |
Total Pages | : 104 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 3540358471 |
Author | : Johann Cigler |
Publisher | : |
Total Pages | : 316 |
Release | : 1979 |
Genre | : Mathematics |
ISBN | : |
Author | : P W Michor |
Publisher | : Springer |
Total Pages | : 112 |
Release | : 2014-01-15 |
Genre | : |
ISBN | : 9783662183472 |
Author | : |
Publisher | : |
Total Pages | : 99 |
Release | : 1964 |
Genre | : Banach spaces |
ISBN | : 9780387087641 |
Author | : Noel Dee Evans |
Publisher | : |
Total Pages | : 126 |
Release | : 1968 |
Genre | : Functor theory |
ISBN | : |
Author | : Pothoven K. |
Publisher | : |
Total Pages | : 0 |
Release | : 1969 |
Genre | : Banach spaces |
ISBN | : |
Author | : Jochen Wengenroth |
Publisher | : Springer Science & Business Media |
Total Pages | : 74 |
Release | : 2003-04-10 |
Genre | : Mathematics |
ISBN | : 9783540002369 |
The text contains for the first time in book form the state of the art of homological methods in functional analysis like characterizations of the vanishing of the derived projective limit functor or the functors Ext1 (E, F) for Fréchet and more general spaces. The researcher in real and complex analysis finds powerful tools to solve surjectivity problems e.g. on spaces of distributions or to characterize the existence of solution operators. The requirements from homological algebra are minimized: all one needs is summarized on a few pages. The answers to several questions of V.P. Palamodov who invented homological methods in analysis also show the limits of the program.
Author | : Jan Epema |
Publisher | : |
Total Pages | : 132 |
Release | : 1973 |
Genre | : Functor theory |
ISBN | : |
Author | : |
Publisher | : Elsevier |
Total Pages | : 735 |
Release | : 1991-03-18 |
Genre | : Mathematics |
ISBN | : 0080887104 |
The theory of interpolation spaces has its origin in the classical work of Riesz and Marcinkiewicz but had its first flowering in the years around 1960 with the pioneering work of Aronszajn, Calderón, Gagliardo, Krein, Lions and a few others. It is interesting to note that what originally triggered off this avalanche were concrete problems in the theory of elliptic boundary value problems related to the scale of Sobolev spaces. Later on, applications were found in many other areas of mathematics: harmonic analysis, approximation theory, theoretical numerical analysis, geometry of Banach spaces, nonlinear functional analysis, etc. Besides this the theory has a considerable internal beauty and must by now be regarded as an independent branch of analysis, with its own problems and methods. Further development in the 1970s and 1980s included the solution by the authors of this book of one of the outstanding questions in the theory of the real method, the K-divisibility problem. In a way, this book harvests the results of that solution, as well as drawing heavily on a classic paper by Aronszajn and Gagliardo, which appeared in 1965 but whose real importance was not realized until a decade later. This includes a systematic use of the language, if not the theory, of categories. In this way the book also opens up many new vistas which still have to be explored. This volume is the first of three planned books. Volume II will deal with the complex method, while Volume III will deal with applications.
Author | : Johann Cigler |
Publisher | : |
Total Pages | : 318 |
Release | : |
Genre | : |
ISBN | : 9780598039699 |