Verwandte Artikel zu Introduction to Banach Spaces and Algebras: 20 (Oxford...
Críticas
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)
Reseña del editor
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.
„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.
- VerlagOUP Oxford
- Erscheinungsdatum2009
- ISBN 10 0199206546
- ISBN 13 9780199206544
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten384
- HerausgeberDales H. Garth
Neu kaufen
Diesen Artikel anzeigen
EUR 90,11
Versand:
EUR 48,99
Von Deutschland nach USA
Suchergebnisse für Introduction to Banach Spaces and Algebras: 20 (Oxford...
Beispielbild für diese ISBN
Introduction to Banach Spaces and Algebras (Oxford Graduate Texts in Mathematics)
Verlag:
Oxford University Press, 2010
ISBN 10: 0199206546
ISBN 13: 9780199206544
Gebraucht
Softcover
Anbieter: Phatpocket Limited, Waltham Abbey, HERTS, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Zustand: Good. Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. Bestandsnummer des Verkäufers Z1-M-012-02604
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Introduction to Banach Spaces and Algebras (Oxford Graduate Texts in Mathematics 20)
Verlag:
Oxford University Press, Oxford, 2011
ISBN 10: 0199206546
ISBN 13: 9780199206544
Gebraucht
Original decorated wrappers
Erstausgabe
Anbieter: Literary Cat Books, Machynlleth, Powys, WALES, Vereinigtes Königreich
Verkäuferbewertung 4 von 5 Sternen
Original decorated wrappers. Zustand: Near Fine. Zustand des Schutzumschlags: No Dust Jacket. First Edition; First Impression. Spine uncreased. Light wear to spine, covers & corners. ; "Introduction to Banach Spaces and Algebras" by Graham R. Allan, is an advanced mathematics textbook focusing on the fundamental aspects of functional analysis. It is primarily aimed at final year undergraduate or early graduate students who have a background in basic mathematical concepts like metric spaces and complex analysis, but not necessarily in Lebesgue integration. The book starts with the essentials of Banach spaces, exploring topics such as dual spaces and bounded linear operators. It thoroughly covers key theorems of functional analysis, including the Banach-Alaoglu, Hahn-Banach, uniform boundedness, open mapping, and closed graph theorems, which establish a foundation for further study in this field. A significant portion of the text is dedicated to the theory of Banach algebras, with a detailed discussion on the holomorphic functional calculus for both single and several variables. This includes comprehensive background theory and numerous examples and applications, particularly in the context of Fourier series and operators on Hilbert spaces. The textbook is well-structured to facilitate understanding, featuring exercises to test comprehension and extensive notes that guide readers towards more advanced topics. Edited posthumously by Professor H. G. Dales after Allan's death, the book reflects a careful and rigorous approach to a complex subject. ; Octavo; viii, 371 pages. Bestandsnummer des Verkäufers 60977
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Introduction to Banach Spaces and Algebras (Volume 20)
Verlag:
Oxford University Press, 2011
ISBN 10: 0199206546
ISBN 13: 9780199206544
Gebraucht
Softcover
Anbieter: Anybook.com, Lincoln, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Zustand: Good. Volume 20. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Library sticker on front cover. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,700grams, ISBN:9780199206544. Bestandsnummer des Verkäufers 5568909
Anzahl: 1 verfügbar
Beispielbild für diese ISBN
Introduction to Banach Spaces and Algebras (Oxford Graduate Texts in Mathematics)
Verlag:
Oxford University Press, 2011
ISBN 10: 0199206546
ISBN 13: 9780199206544
Gebraucht
Softcover
Anbieter: Anybook.com, Lincoln, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
Zustand: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. Clean from markings. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,700grams, ISBN:9780199206544. Bestandsnummer des Verkäufers 9946821
Anzahl: 1 verfügbar
Foto des Verkäufers
Introduction to Banach Spaces and Algebras
Verlag:
Oxford University Press, 2010
ISBN 10: 0199206546
ISBN 13: 9780199206544
Neu
Kartoniert / Broschiert
Anbieter: moluna, Greven, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Kartoniert / Broschiert. Zustand: 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. Bestandsnummer des Verkäufers 5895594
Anzahl: Mehr als 20 verfügbar