{"product_id":"a-short-course-on-banach-space-theory-paperback-9780521603720","title":"A Short Course on Banach Space Theory (Paperback) 9780521603720","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eA Short Course on Banach Space Theory\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis is a short course on Banach space theory applicable to many contemporary research arenas.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eN. L. Carothers (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521603720, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 6 December 2004\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e198 pages\u003cbr\u003e22.9 x 15.1 x 1.1 cm, 0.3 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'… a painstaking attention both to detail in the mathematics and to accessibility for the reader. … You could base a good postgraduate course on it.' Bulletin of the London Mathematical Society\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis is a short course on Banach space theory with special emphasis on certain aspects of the classical theory. In particular, the course focuses on three major topics: the elementary theory of Schauder bases, an introduction to Lp spaces, and an introduction to C(K) spaces. While these topics can be traced back to Banach himself, our primary interest is in the postwar renaissance of Banach space theory brought about by James, Lindenstrauss, Mazur, Namioka, Pelczynski, and others. Their elegant and insightful results are useful in many contemporary research endeavors and deserve greater publicity. By way of prerequisites, the reader will need an elementary understanding of functional analysis and at least a passing familiarity with abstract measure theory. An introductory course in topology would also be helpful; however, the text includes a brief appendix on the topology needed for the course.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Classical Banach spaces\u003cbr\u003e 2. Preliminaries\u003cbr\u003e 3. Bases in Banach spaces\u003cbr\u003e 4. Bases in Banach spaces II\u003cbr\u003e 5. Bases in Banach spaces III\u003cbr\u003e 6. Special properties of C0, l1, and l?\u003cbr\u003e 7. Bases and duality\u003cbr\u003e 8. Lp spaces\u003cbr\u003e 9. Lp spaces II\u003cbr\u003e 10. Lp spaces III\u003cbr\u003e 11. Convexity\u003cbr\u003e 12. C(K) Spaces\u003cbr\u003e 13. Weak compactness in L1\u003cbr\u003e 14. The Dunford-Pettis property\u003cbr\u003e 15. C(K) Spaces II\u003cbr\u003e 16. C(K) Spaces III\u003cbr\u003e A. Topology review.\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":46004854882584,"sku":"9780521603720","price":38.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521603720i_b29c9fe8-9aa1-4931-90d3-03cce3e1b794.jpg?v=1691370399","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/a-short-course-on-banach-space-theory-paperback-9780521603720","provider":"Freshly Printed Books","version":"1.0","type":"link"}