{"product_id":"banach-algebras-and-the-general-theory-of-algebras-volume-1-algebras-and-banach-algebras-paperback-9780521124102","title":"Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras (Paperback) 9780521124102","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eBanach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eTheodore W. Palmer (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521124102, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 3 December 2009\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e812 pages\u003cbr\u003e23.4 x 15.6 x 4 cm, 1.12 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"The author has been very careful in researching the history of various concepts and ideas.  The historical remarks in these introductions and throughout the text are a valuable addition because they show how mathematical ideas evolved... the author does an admirable job relating and ordering the various concepts...The notation is coherent and easy to follow...a valuable source for specialists and researchers...\"   Horst Behncke, Mathematical Reviews\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasises the role of *-algebra structure and explores the algebraic results which underlie the theory of Banach algebras and *-algebras. This first volume is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class complex algebras rather than topological algebras. In both volumes proofs are presented in complete detail at a level accessible to graduate students. In addition, the books contain a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Together these books will become the standard reference for the general theory of *-algebras.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction to normed algebras: examples\u003cbr\u003e 2. The spectrum\u003cbr\u003e 3. Commutative algebras and functional calculus\u003cbr\u003e 4. Ideals, representations and radicals\u003cbr\u003e 5. Approximate identities and factorisation\u003cbr\u003e 6. Automatic continuity\u003cbr\u003e 7. Structure spaces\u003cbr\u003e 8. Algebras with minimal ideals\u003cbr\u003e Bibliography\u003cbr\u003e Index\u003cbr\u003e Symbol index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Functional analysis \u0026amp; transforms [\u003ca title=\"See our other books on Functional analysis \u0026amp; transforms\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Functional%20analysis%20\u0026amp;%20transforms%20%5BPBKF%5D%22\"\u003ePBKF\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46006554296600,"sku":"9780521124102","price":90.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521124102i_438eba19-06d5-4f3b-a0a8-853adf38794b.jpg?v=1691371798","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/banach-algebras-and-the-general-theory-of-algebras-volume-1-algebras-and-banach-algebras-paperback-9780521124102","provider":"Freshly Printed Books","version":"1.0","type":"link"}