{"product_id":"summing-and-nuclear-norms-in-banach-space-theory-paperback-9780521349376","title":"Summing and Nuclear Norms in Banach Space Theory (Paperback) 9780521349376","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSumming and Nuclear Norms in Banach Space Theory\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis textbook is an introduction to the techniques of summing and nuclear norms.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eG. J. O. Jameson (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521349376, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 30 July 1987\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e188 pages\u003cbr\u003e22.9 x 15.4 x 1.1 cm, 0.3 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis textbook is an introduction to the techniques of summing and nuclear norms. The author's aim is to present a clear and simple account of these ideas and to demonstrate the power of their application to a variety of Banach space questions. The style is expository and the only prerequisite is a beginner's course on Wormed linear spaces and a minimal knowledge of functional analysis. Thus, Dr Jameson is able to concentrate on important, central results and gives concrete and largely non-technical proofs, often supplying alternative proofs which both contribute something to the understanding. Final-year undergraduates and postgraduates in functional analysis will enjoy this introduction to the subject, and there are many examples and exercises throughout the text to help the reader and to demonstrate the range of application these techniques find. A list of references indicates the way for further reading.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e0. Banach space background\u003cbr\u003e 1. Finite rank operators: trace and 1-nuclear norm\u003cbr\u003e 2. Finite sequences of elements : the quantities µ1, µ2\u003cbr\u003e 3. The summing norms\u003cbr\u003e 4. Other nuclear norms: duality with the summing norms\u003cbr\u003e 5. Pietsch's theorem and its applications\u003cbr\u003e 6. Averaging: type 2 and cotype 2 constants\u003cbr\u003e 7. More averaging: Khinchin's inequality and related results\u003cbr\u003e 8. Integral methods: Gaussian averaging\u003cbr\u003e 9. 2-dominated spaces\u003cbr\u003e 10. Grothendieck's inequality\u003cbr\u003e 11. The interpolation method for Grothendieck-type theorems\u003cbr\u003e 12. Results connected with the basis constant\u003cbr\u003e 13. Estimation of summing norms using a restricted number of elements\u003cbr\u003e 14. Pisier's theorem for pi2,1\u003cbr\u003e 15. Tensor products of operators\u003cbr\u003e 16. Trace duality revisited: integral norms\u003cbr\u003e 17. Applications of local reflexivity\u003cbr\u003e 18. Cone-summing norms.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Probability \u0026amp; statistics [\u003ca title=\"See our other books on Probability \u0026amp; statistics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Probability%20\u0026amp;%20statistics%20%5BPBT%5D%22\"\u003ePBT\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":46005262778648,"sku":"9780521349376","price":37.45,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521349376i_2eeed16d-b124-4759-9575-a250d2027436.jpg?v=1691375554","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/summing-and-nuclear-norms-in-banach-space-theory-paperback-9780521349376","provider":"Freshly Printed Books","version":"1.0","type":"link"}