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Descripción Hardcover. Condición: new. Hardcover. Banach spaces and algebras are a key topic of pure mathematics. Graham Allan's careful and detailed introductory account will prove essential reading for anyone wishing to specialise in functional analysis and is aimed at final year undergraduates or masters level students. Based on the author's lectures to fourth year students at Cambridge University, the book assumes knowledge typical of first degrees in mathematics, including metric spaces, analytic topology, andcomplex analysis. However, readers are not expected to be familiar with the Lebesgue theory of measure and integration.The text begins by giving the basic theory of Banachspaces, including dual spaces and bounded linear operators. It establishes forms of the theorems that are the pillars of functional analysis, including the Banach-Alaoglu, Hahn-Banach, uniform boundedness, open mapping, and closed graph theorems. There are applications to Fourier series and operators on Hilbert spaces.The main body of the text is an introduction to the theory of Banach algebras. A particular feature is the detailed account of the holomorphic functionalcalculus in one and several variables; all necessary background theory in one and several complex variables is fully explained, with many examples and applications considered. Throughout, exercises atsections ends help readers test their understanding, while extensive notes point to more advanced topics and sources.The book was edited for publication by Professor H. G. Dales of Leeds University, following the death of the author in August, 2007. A timely graduate level text in an active field covering functional analysis, with an emphasis on Banach algebras. This item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Nº de ref. del artículo: 9780199206537
Descripción HRD. Condición: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. del artículo: L1-9780199206537
Descripción Gebunden. Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. A timely graduate level text in an active field covering functional analysis, with an emphasis on Banach algebras.Banach spaces and algebras are a key topic of pure mathematics. Graham Allan s careful and detailed introductory account will prove ess. Nº de ref. del artículo: 594419482
Descripción Condición: New. Buy with confidence! Book is in new, never-used condition. Nº de ref. del artículo: bk0199206538xvz189zvxnew