Introduction to Banach Spaces and Algebras (Oxford Graduate Texts in Mathematics)

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9780199206544: Introduction to Banach Spaces and Algebras (Oxford Graduate Texts in Mathematics)
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This well-crafted and scholarly book ...leaves nothing to be desired: this is a fine way to get into this beautiful subject and will serve to reel in a huge number of future devotees. ( Michael Berg, MAA Reviews)

From the Publisher:

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, and complex 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 Banach spaces, 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 functional calculus 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 at sections 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.

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Allan, Graham
Editorial: Oxford University Press, United Kingdom (2010)
ISBN 10: 0199206546 ISBN 13: 9780199206544
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Descripción Oxford University Press, United Kingdom, 2010. Paperback. Estado de conservación: New. 234 x 156 mm. Language: English . Brand New Book. 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, and complex 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 Banach spaces, 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 functional calculus 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 at sections 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. Nº de ref. de la librería AOP9780199206544

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Allan, Graham
Editorial: Oxford University Press, United Kingdom (2010)
ISBN 10: 0199206546 ISBN 13: 9780199206544
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Descripción Oxford University Press, United Kingdom, 2010. Paperback. Estado de conservación: New. 234 x 156 mm. Language: English . Brand New Book. 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, and complex 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 Banach spaces, 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 functional calculus 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 at sections 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. Nº de ref. de la librería AOP9780199206544

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Allan, Graham
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Descripción Oxford University Press. Paperback. Estado de conservación: new. BRAND NEW, Introduction to Banach Spaces and Algebras, Graham Allan, H. Garth Dales, 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, and complex 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 Banach spaces, 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 functional calculus 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 at sections 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. Nº de ref. de la librería B9780199206544

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Descripción 2010. Paperback. Estado de conservación: New. 234mm x 157mm x. Paperback. 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 .Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 371 pages. 0.586. Nº de ref. de la librería 9780199206544

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Descripción Oxford University Press, 2010. Paperback. Estado de conservación: New. Nº de ref. de la librería P110199206546

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Descripción 2010. Paperback. Estado de conservación: New. 234mm x 157mm x. Paperback. 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 t.Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 371 pages. 0.586. Nº de ref. de la librería 9780199206544

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