4 edition of Functional analysis and infinite-dimensional geometry found in the catalog.
Published 2001 by Administrator in Springer
Includes bibliographical references (p. [431]-443) and index
Statement | Springer |
Publishers | Springer |
Classifications | |
---|---|
LC Classifications | 2001 |
The Physical Object | |
Pagination | xvi, 55 p. : |
Number of Pages | 78 |
ID Numbers | |
ISBN 10 | 0387952195 |
Series | |
1 | |
2 | CMS books in mathematics -- 8 |
3 | |
nodata File Size: 10MB.
We plan to discuss those aspects of functional analysis which deal with rather general classes of linear operators on Banach and Hilbert spaces.
It's a sort of modern core of FA book, with a sidelines to some physics applications and of historic nature, a terse advertisement of the quantum functional analysis and so on but there is no measure theory, Radon Nikodym theorem etc.
More generally, functional analysis includes the study of and other not endowed with a norm. 20 42001 Book Title Functional Analysis and Infinite-Dimensional Geometry Authors• Herget: Applied Algebra and Functional Analysis, Dover, 1993. Theneeded to prove many important theorems, also requires a form of axiom of choice.
But you don't have to read the whole series cover-to-cover. This means that we will not consider, for example, differential operators at all, because their theory can be well presented in a separate course only. : Foundations of Modern Analysis, Dover Publications, Paperback Edition, July 21, 2010• Also the French edition : 240 pages or so.
Suppose that F is a collection of continuous linear operators from X to Y. Giles, Mathematical Reviews, Issue 2002 f "The sextet of authors have done a superb job in marshalling and presenting their material: the writing is crisp and authoritative and they take full advantage of recent simplifications in the proofs of certain results.: "Functional Analysis", Academic Press 1980.
and : Elements of the Theory of Functions and Functional Analysis, Dover Publications, 1999• Functional Analysis, Sobolev Spaces and Partial Differential Equations Universitext by Haim Brezis.
In Banach spaces, a large part of the study involves the : the space of all linear maps from the space into its underlying field, so-called functionals.
The series is organized as a sequence of topics, which illustarate this basic idea on the simple and tame examples without superfluous difficulties and details as well as in the previous series.