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Geometry and Probability in Banach Spaces / by L. Schwartz
(Lecture Notes in Mathematics. ISSN:16179692 ; 852)

1st ed. 1981.
出版者 Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer
出版年 1981
大きさ XII, 108 p : online resource
著者標目 *Schwartz, L author
SpringerLink (Online service)
件 名 LCSH:Probabilities
LCSH:Geometry
FREE:Probability Theory
FREE:Geometry
一般注記 Type 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)
HTTP:URL=https://doi.org/10.1007/BFb0096723
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Springer eBooks 9783540386179
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分 類 LCC:QA273.A1-274.9
DC23:519.2
書誌ID 4000108661
ISBN 9783540386179

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