000 | 03493nam a22004935i 4500 | ||
---|---|---|---|
001 | 978-3-540-44563-0 | ||
003 | DE-He213 | ||
005 | 20190213151204.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s2001 gw | s |||| 0|eng d | ||
020 |
_a9783540445630 _9978-3-540-44563-0 |
||
024 | 7 |
_a10.1007/b55674 _2doi |
|
050 | 4 | _aQA319-329.9 | |
072 | 7 |
_aPBKF _2bicssc |
|
072 | 7 |
_aMAT037000 _2bisacsh |
|
072 | 7 |
_aPBKF _2thema |
|
082 | 0 | 4 |
_a515.7 _223 |
100 | 1 |
_aPisier, Gilles. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
|
245 | 1 | 0 |
_aSimilarity Problems and Completely Bounded Maps _h[electronic resource] : _bSecond, Expanded Edition / _cby Gilles Pisier. |
246 | 3 | _aIncludes the solution to "The Halmos Problem" | |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c2001. |
|
300 |
_aVII, 202 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 | _aIntroduction. Description of contents -- Von Neumann's inequality and Ando's generalization -- Non-unitarizable uniformly bounded group representations -- Completely bounded maps -- Completely bounded homomorphisms and derivations -- Schur multipliers and Grothendieck's inequality -- Hankelian Schur multipliers. Herz-Schur multipliers -- The similarity problem for cyclic homomorphisms on a C*-algebra -- Completely bounded maps in the Banach space setting -- The Sz -- Nagy-Halmos similarity problem -- The Kadison Similarity Problem -- References -- Subject Index -- Notation Index. | |
520 | _aThese notes revolve around three similarity problems, appearing in three different contexts, but all dealing with the space B(H) of all bounded operators on a complex Hilbert space H. The first one deals with group representations, the second one with C* -algebras and the third one with the disc algebra. We describe them in detail in the introduction which follows. This volume is devoted to the background necessary to understand these three problems, to the solutions that are known in some special cases and to numerous related concepts, results, counterexamples or extensions which their investigation has generated. While the three problems seem different, it is possible to place them in a common framework using the key concept of "complete boundedness", which we present in detail. Using this notion, the three problems can all be formulated as asking whether "boundedness" implies "complete boundedness" for linear maps satisfying certain additional algebraic identities. Two chapters have been added on the HALMOS and KADISON similarity problems. | ||
650 | 0 | _aFunctional analysis. | |
650 | 0 | _aHarmonic analysis. | |
650 | 1 | 4 |
_aFunctional Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12066 |
650 | 2 | 4 |
_aAbstract Harmonic Analysis. _0http://scigraph.springernature.com/things/product-market-codes/M12015 |
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662195246 |
776 | 0 | 8 |
_iPrinted edition: _z9783540415244 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v1618 |
|
856 | 4 | 0 | _uhttps://doi.org/10.1007/b55674 |
912 | _aZDB-2-SMA | ||
912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c9824 _d9824 |