{"product_id":"introduction-to-operator-space-theory-paperback-9780521811651","title":"Introduction to Operator Space Theory (Paperback) 9780521811651","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eIntroduction to Operator Space Theory\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eAn introduction to the theory of operator spaces, emphasising applications to C*-algebras.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eGilles Pisier (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521811651, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 25 August 2003\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e488 pages\u003cbr\u003e22.9 x 15.3 x 2.6 cm, 0.645 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 tone of the book is quite informal, friendly and inviting. Even to experts in the field, a large proportion of the results, and certainly of the proofs, will be new and stimulating. … there are literally thousands of wonderful results and insights in the text which the reader will not find elsewhere. The book covers an incredible amount of ground, and makes use of some of the most exciting recent work in modern analysis. … It is a magnificent book: an enormous treasure trove, and a work of love and care by one of the great analysts of our time. All students and researchers in functional analysis should have a copy. Anybody planning to work in operator space theory will need to be thoroughly immersed in it.' Proceedings of the Edinburgh Mathematical Society\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe theory of operator spaces is very recent and can be described as a non-commutative Banach space theory. An 'operator space' is simply a Banach space with an embedding into the space B(H) of all bounded operators on a Hilbert space H. The first part of this book is an introduction with emphasis on examples that illustrate various aspects of the theory. The second part is devoted to applications to C*-algebras, with a systematic exposition of tensor products of C*-algebras. The third (and shorter) part of the book describes applications to non self-adjoint operator algebras, and similarity problems. In particular the author's counterexample to the 'Halmos problem' is presented, as well as work on the new concept of 'length' of an operator algebra. Graduate students and professional mathematicians interested in functional analysis, operator algebras and theoretical physics will find that this book has much to offer.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Introduction to Operator Spaces: 1. Completely bounded maps\u003cbr\u003e 2. Minimal tensor product\u003cbr\u003e 3. Minimal and maximal operator space structures on a Banach space\u003cbr\u003e 4. Projective tensor product\u003cbr\u003e 5. The Haagerup tensor product\u003cbr\u003e 6. Characterizations of operator algebras\u003cbr\u003e 7. The operator Hilbert space\u003cbr\u003e 8. Group C*-algebras\u003cbr\u003e 9. Examples and comments\u003cbr\u003e 10. Comparisons\u003cbr\u003e Part II. Operator Spaces and C*-tensor products: 11. C*-norms on tensor products\u003cbr\u003e 12. Nuclearity and approximation properties\u003cbr\u003e 13. C*\u003cbr\u003e 14. Kirchberg's theorem on decomposable maps\u003cbr\u003e 15. The weak expectation property\u003cbr\u003e 16. The local lifting property\u003cbr\u003e 17. Exactness\u003cbr\u003e 18. Local reflexivity\u003cbr\u003e 19. Grothendieck's theorem for operator spaces\u003cbr\u003e 20. Estimating the norms of sums of unitaries\u003cbr\u003e 21. Local theory of operator spaces\u003cbr\u003e 22. B(H) * B(H)\u003cbr\u003e 23. Completely isomorphic C*-algebras\u003cbr\u003e 24. Injective and projective operator spaces\u003cbr\u003e Part III. Operator Spaces and Non Self-Adjoint Operator Algebras: 25. Maximal tensor products and free products of non self-adjoint operator algebras\u003cbr\u003e 26. The Blechter-Paulsen factorization\u003cbr\u003e 27. Similarity problems\u003cbr\u003e 28. The Sz-nagy-halmos similarity problem\u003cbr\u003e Solutions to the exercises\u003cbr\u003e References.\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":46004465107224,"sku":"9780521811651","price":103.77,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521811651i_06366ab1-f503-4362-a3ed-ec0134860731.jpg?v=1691368301","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/introduction-to-operator-space-theory-paperback-9780521811651","provider":"Freshly Printed Books","version":"1.0","type":"link"}