Last edited by Springer
18.05.2021 | History

4 edition of Functional analysis and infinite-dimensional geometry found in the catalog.

Functional analysis and infinite-dimensional geometry

golden anniversary edition of the Gregory times-advocate, January 7, 1954.

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      • Includes bibliographical references (p. [431]-443) and index

        StatementSpringer
        PublishersSpringer
        Classifications
        LC Classifications2001
        The Physical Object
        Paginationxvi, 55 p. :
        Number of Pages78
        ID Numbers
        ISBN 100387952195
        Series
        1
        2CMS books in mathematics -- 8
        3

        nodata File Size: 10MB.


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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.

Functional Analysis 2 (Operator Theory)

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.

textbook recommendation

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.