Descriptive Topology in Selected Topics of Functional Analysis

0364831 - MÚ 2012 RIV US eng B - Monografie kniha jako celek
Kąkol, J. - Kubiś, Wieslaw - López-Pellicer, M.
Descriptive Topology in Selected Topics of Functional Analysis.
New York: Springer, 2011. 491 s. Developments in Mathematics, Vol. 24. ISBN 978-1-4614-0528-3. ISSN 1389-2177
Grant CEP: GA ČR GA201/05/2033; GA ČR GA201/08/0383
Výzkumný záměr: CEZ:AV0Z10190503
Klíčová slova: topological vector space * weak topology * Banach space
Kód oboru RIV: BA - Obecná matematika
http://www.springer.com/mathematics/analysis/book/978-1-4614-0528-3

This is a self-contained volume that applies recent developments and classical results in descriptive topology to study the classes of infinite-dimensional topological vector spaces that appear in functional analysis. Such spaces include Fréchet spaces, LF-spaces and their duals, and the space of continuous real-valued functions C(X) on a completely regular Hausdorff space X, to name a few. These vector spaces appear in distribution theory, differential equations, complex analysis, and various other areas of functional analysis.
Trvalý link: http://hdl.handle.net/11104/0200209