000			02932nam a22003858i 4500
001			CR9780511546631
003			UkCbUP
005			20200124160239.0
006			m|||||o||d||||||||
007			cr||||||||||||
008			090508s2002||||enk o ||1 0|eng|d
020			_a9780511546631 (ebook)
020			_z9780521816694 (hardback)
040			_aUkCbUP _beng _erda _cUkCbUP
050	0	0	_aQA326 _b.P37 2002
082	0	0	_a512/.55 _221
100	1		_aPaulsen, Vern I., _d1951- _eauthor.
245	1	0	_aCompletely bounded maps and operator algebras / _cVern Paulsen.
246	3		_aCompletely Bounded Maps & Operator Algebras
264		1	_aCambridge : _bCambridge University Press, _c2002.
300			_a1 online resource (xii, 300 pages) : _bdigital, PDF file(s).
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aCambridge studies in advanced mathematics ; _v78
500			_aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
505	0		_a1. Introduction -- 2. Positive Maps -- 3. Completely Positive Maps -- 4. Dilation Theorems -- 5. Commuting Contractions on Hilbert Space -- 6. Completely Positive Maps into M[subscript n] -- 7. Arveson's Extension Theorems -- 8. Completely Bounded Maps -- 9. Completely Bounded Homomorphisms -- 10. Polynomially Bounded and Power-Bounded Operators -- 11. Applications to K-Spectral Sets -- 12. Tensor Products and Joint Spectral Sets -- 13. Abstract Characterizations of Operator Systems and Operator Spaces -- 14. An Operator Space Bestiary -- 15. Injective Envelopes -- 16. Abstract Operator Algebras -- 17. Completely Bounded Multilinear Maps and the Haagerup Tensor Norm -- 18. Universal Operator Algebras and Factorization -- 19. Similarity and Factorization.
520			_aIn this book, first published in 2003, the reader is provided with a tour of the principal results and ideas in the theories of completely positive maps, completely bounded maps, dilation theory, operator spaces and operator algebras, together with some of their main applications. The author assumes only that the reader has a basic background in functional analysis, and the presentation is self-contained and paced appropriately for graduate students new to the subject. Experts will also want this book for their library since the author illustrates the power of methods he has developed with new and simpler proofs of some of the major results in the area, many of which have not appeared earlier in the literature. An indispensable introduction to the theory of operator spaces for all who want to know more.
650		0	_aOperator algebras.
650		0	_aDilation theory (Operator theory)
650		0	_aMappings (Mathematics)
776	0	8	_iPrint version: _z9780521816694
830		0	_aCambridge studies in advanced mathematics ; _v78.
856	4	0	_uhttps://doi.org/10.1017/CBO9780511546631
999			_c518324 _d518322