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Catalogue Information
Field name	Details
Dewey Class	519.2
Title	Geometry and Probability in Banach Spaces ([EBook]) / by Laurent Schwartz, Paul R. Chernoff.
Author	Schwartz, Laurent. , 1915-2002
Added Personal Name	Chernoff, Paul R.
Other name(s)	SpringerLink (Online service)
Publication	Berlin, Heidelberg : Springer , 1981.
Physical Details	XII, 108 pages : online resource.
Series	Lecture Notes in Mathematics 0075-8434 ; ; 852
ISBN	9783540386179
Contents note	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).
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0096723
Links to Related Works	Subject References: Banach spaces . Geometry . Mathematics . Probabilities . Probability theory and stochastic processes . Authors: author . Chernoff, Paul R. . Schwartz, Laurent. 1915-2002 . Schwartz, Laurent, 1915-2002. . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 519.2 .

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Geometry and Probability in Banach Spaces

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