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 ...
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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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Add this copy of Introduction to Banach Spaces and Algebras (Oxford to cart. $44.91, very good condition, Sold by Literary Cat Books rated 3.0 out of 5 stars, ships from Machynlleth, Powys, WALES, UNITED KINGDOM, published 2011 by Oxford University Press.
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Seller's Description:
Near Fine with no dust jacket. 0199206546. 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.
Add this copy of Introduction to Banach Spaces and Algebras (Oxford to cart. $50.19, good condition, Sold by Anybook rated 5.0 out of 5 stars, ships from Lincoln, UNITED KINGDOM, published 2011 by Oxford University Press.
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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.
Add this copy of Introduction to Banach Spaces and Algebras (Oxford to cart. $35.45, good condition, Sold by Phatpocket Limited rated 4.0 out of 5 stars, ships from Waltham Abbey, ESSEX, UNITED KINGDOM, published 2010 by Oxford University Press.
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Good. Ships from UK in 48 hours or less (usually same day). Your purchase helps support Sri Lankan Children's Charity 'The Rainbow Centre'. Ex-library, so some stamps and wear, but in good overall condition. 100% money back guarantee. We are a world class secondhand bookstore based in Hertfordshire, United Kingdom and specialize in high quality textbooks across an enormous variety of subjects. We aim to provide a vast range of textbooks, rare and collectible books at a great price. Our donations to The Rainbow Centre have helped provide an education and a safe haven to hundreds of children who live in appalling conditions. We provide a 100% money back guarantee and are dedicated to providing our customers with the highest standards of service in the bookselling industry.
Add this copy of Introduction to Banach Spaces and Algebras (Oxford to cart. $45.48, good condition, Sold by Goodwill of Orange County rated 4.0 out of 5 stars, ships from Santa Ana, CA, UNITED STATES, published 2010 by Oxford University Press.
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Book has internal/external wear and/or highlighting and underlining. It may have creases on the cover and some folded pages. This is a USED book. Codes have been used. All items ship Monday-Friday within 2-3 business days. Thank you for supporting Goodwill of OC.
Add this copy of Introduction to Banach Spaces and Algebras (Oxford to cart. $101.68, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2010 by Oxford University Press.
Add this copy of Introduction to Banach Spaces and Algebras (Oxford to cart. $173.17, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2010 by Oxford University Press.
