UID:
almahu_9947921479402882
Format:
XII, 108 p.
,
online resource.
ISBN:
9783540386179
Series Statement:
Lecture Notes in Mathematics, 852
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).
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783540106913
Language:
English
Subjects:
Mathematics
URL:
http://dx.doi.org/10.1007/BFb0096723
URL:
Volltext
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URL:
Volltext
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