000 | 03164nam a22005055i 4500 | ||
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001 | 978-3-540-38617-9 | ||
003 | DE-He213 | ||
005 | 20190213151138.0 | ||
007 | cr nn 008mamaa | ||
008 | 121227s1981 gw | s |||| 0|eng d | ||
020 |
_a9783540386179 _9978-3-540-38617-9 |
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024 | 7 |
_a10.1007/BFb0096723 _2doi |
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050 | 4 | _aQA273.A1-274.9 | |
050 | 4 | _aQA274-274.9 | |
072 | 7 |
_aPBT _2bicssc |
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072 | 7 |
_aMAT029000 _2bisacsh |
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_aPBT _2thema |
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072 | 7 |
_aPBWL _2thema |
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082 | 0 | 4 |
_a519.2 _223 |
100 | 1 |
_aSchwartz, Laurent. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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245 | 1 | 0 |
_aGeometry and Probability in Banach Spaces _h[electronic resource] / _cby Laurent Schwartz, Paul R. Chernoff. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg : _bImprint: Springer, _c1981. |
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300 |
_aXII, 108 p. _bonline resource. |
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_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v852 |
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505 | 0 | _aType and cotype for a Banach space p-summing maps -- Pietsch factorization theorem -- Completely summing maps. Hilbert-Schmidt and nuclear maps -- p-integral maps -- Completely summing maps: Six equivalent properties. p-Radonifying maps -- Radonification Theorem -- p-Gauss laws -- Proof of the Pietsch conjecture -- p-Pietsch spaces. Application: Brownian motion -- More on cylindrical measures and stochastic processes -- Kahane inequality. The case of Lp. Z-type -- Kahane contraction principle. p-Gauss type the Gauss type interval is open -- q-factorization, Maurey's theorem Grothendieck factorization theorem -- Equivalent properties, summing vs. factorization -- Non-existence of (2+?)-Pietsch spaces, Ultrapowers -- The Pietsch interval. The weakest non-trivial superproperty. Cotypes, Rademacher vs. Gauss -- Gauss-summing maps. Completion of grothendieck factorization theorem. TLC and ILL -- Super-reflexive spaces. Modulus of convexity, q-convexity "trees" and Kelly-Chatteryji Theorem Enflo theorem. Modulus of smoothness, p-smoothness. Properties equivalent to super-reflexivity -- Martingale type and cotype. Results of Pisier. Twelve properties equivalent to super-reflexivity. Type for subspaces of Lp (Rosenthal Theorem). | |
650 | 0 | _aDistribution (Probability theory. | |
650 | 0 | _aGeometry. | |
650 | 1 | 4 |
_aProbability Theory and Stochastic Processes. _0http://scigraph.springernature.com/things/product-market-codes/M27004 |
650 | 2 | 4 |
_aGeometry. _0http://scigraph.springernature.com/things/product-market-codes/M21006 |
700 | 1 |
_aChernoff, Paul R. _eauthor. _4aut _4http://id.loc.gov/vocabulary/relators/aut |
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710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783662197967 |
776 | 0 | 8 |
_iPrinted edition: _z9783540106913 |
830 | 0 |
_aLecture Notes in Mathematics, _x0075-8434 ; _v852 |
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856 | 4 | 0 | _uhttps://doi.org/10.1007/BFb0096723 |
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912 | _aZDB-2-LNM | ||
912 | _aZDB-2-BAE | ||
999 |
_c9673 _d9673 |