{"product_id":"locally-convex-spaces-over-non-archimedean-valued-fields-hardback-9780521192439","title":"Locally Convex Spaces over Non-Archimedean Valued Fields (Hardback) 9780521192439","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eLocally Convex Spaces over Non-Archimedean Valued Fields\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA comprehensive, self-contained treatment of non-Archimedean functional analysis, with an emphasis on locally convex space theory.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eC. Perez-Garcia (Author), W. H. Schikhof (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521192439, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 7 January 2010\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e486 pages, 12 exercises\u003cbr\u003e23.4 x 15.5 x 2.7 cm, 0.8 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 book under review is, in my opinion, the best of the existing books on the theory of non-Archimedean locally convex spaces. It contains most of the known results which are published in the area. The book is self-contained and only basic knowledge of linear algebra, analysis and topology are needed to read it. It could be used by graduate students as well as by researchers in mathematical analysis and in other areas.' Mathematical Reviews\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eNon-Archimedean functional analysis, where alternative but equally valid number systems such as p-adic numbers are fundamental, is a fast-growing discipline widely used not just within pure mathematics, but also applied in other sciences, including physics, biology and chemistry. This book is the first to provide a comprehensive treatment of non-Archimedean locally convex spaces. The authors provide a clear exposition of the basic theory, together with complete proofs and new results from the latest research. A guide to the many illustrative examples provided, end-of-chapter notes and glossary of terms all make this book easily accessible to beginners at the graduate level, as well as specialists from a variety of disciplines.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Ultrametrics and valuations\u003cbr\u003e 2. Normed spaces\u003cbr\u003e 3. Locally convex spaces\u003cbr\u003e 4. The Hahn-Banach Theorem\u003cbr\u003e 5. The weak topology\u003cbr\u003e 6. C-compactness\u003cbr\u003e 7. Barrelledness and reflexivity\u003cbr\u003e 8. Montel and nuclear spaces\u003cbr\u003e 9. Spaces with an 'orthogonal' base\u003cbr\u003e 10. Tensor products\u003cbr\u003e 11. Inductive limits\u003cbr\u003e A. Glossary of terms\u003cbr\u003e B. Guide to the examples\u003cbr\u003e Bibliography\u003cbr\u003e Notations\u003cbr\u003e 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":46006901768472,"sku":"9780521192439","price":112.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521192439i_1faa64d0-6e55-4484-a9cd-11ae0efec63b.jpg?v=1691373563","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/locally-convex-spaces-over-non-archimedean-valued-fields-hardback-9780521192439","provider":"Freshly Printed Books","version":"1.0","type":"link"}