000 | 03470nam a22005175i 4500 | ||
---|---|---|---|
001 | 978-3-662-21537-1 | ||
003 | DE-He213 | ||
005 | 20160624101838.0 | ||
007 | cr nn 008mamaa | ||
008 | 130609s1996 gw | s |||| 0|eng d | ||
020 |
_a9783662215371 _9978-3-662-21537-1 |
||
024 | 7 |
_a10.1007/978-3-662-21537-1 _2doi |
|
050 | 4 | _aQA273.A1-274.9 | |
050 | 4 | _aQA274-274.9 | |
072 | 7 |
_aPBT _2bicssc |
|
072 | 7 |
_aPBWL _2bicssc |
|
072 | 7 |
_aMAT029000 _2bisacsh |
|
082 | 0 | 4 |
_a519.2 _223 |
100 | 1 |
_aPisier, Gilles. _eauthor. |
|
245 | 1 | 0 |
_aSimilarity Problems and Completely Bounded Maps _h[electronic resource] / _cby Gilles Pisier. |
260 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1996. |
|
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1996. |
|
300 |
_aVII, 160 p. _bonline resource. |
||
336 |
_atext _btxt _2rdacontent |
||
337 |
_acomputer _bc _2rdamedia |
||
338 |
_aonline resource _bcr _2rdacarrier |
||
347 |
_atext file _bPDF _2rda |
||
490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1618 |
|
505 | 0 | _a0. Introduction. Description of contents -- 1. Von Neumann’s inequality and Ando’s generalization -- 2. Non-unitarizable uniformly bounded group representations -- 3. Completely bounded maps -- 4. Completely bounded homomorphisms and derivations -- 5. Schur multipliers and Grothendieck’s inequality -- 6. Hankelian Schur multipliers. Herz-Schur multipliers -- 7. The similarity problem for cyclic homomorphisms on a C*-algebra -- 8. Completely bounded maps in the Banach space setting -- References -- Notation Index. | |
520 | _aThis book is mainly about 3 similarity problems arising in 3 different contexts, namely group representations,C*-algebras and uniform algebras (eg. the disc algebra). These 3 problems (all still open in full generality) are studied using a common tool, completely bounded maps, which have recently emerged as a major concept in operator algebra theory. The book is devoted to the background necessary to understand these problems, to the partial solutions that are known and to numerous related concepts, results, counterexamples or extensions. The variety of topics involved, ranging from functional analysis to harmonic analysis, Hp-spaces, Fourier multipliers, Schur multipliers, coefficients of group representations, group algebras, characterizations of amenable groups, nuclear C*-algebras, Hankel operators, etc, is an attraction of this book. It is mostly self-contained and accessible to graduate students mastering basic functional and harmonic analysis. For more advanced readers, it can be an invitation to the recently developed theory of "operator spaces", for which completely bounded maps are the fundamental morphisms. | ||
650 | 0 | _aMathematics. | |
650 | 0 | _aDistribution (Probability theory). | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aProbability Theory and Stochastic Processes. |
650 | 2 | 4 | _aTheoretical, Mathematical and Computational Physics. |
650 | 2 | 4 | _aLaser Technology, Photonics. |
650 | 2 | 4 | _aQuantum Optics. |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540603221 |
786 | _dSpringer | ||
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1618 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/978-3-662-21537-1 |
942 |
_2EBK2028 _cEBK |
||
999 |
_c31322 _d31322 |