Probability in Banach Spaces

Inhaltsverzeichnis

• Absolute continuity and applications to information theory.
• Cancellation in Banach spaces.
• On sequences invariant under spreading in Banach spaces.
• Vector-valued martingales and their applications.
• Algebraic models for Gaussian measures on Banach spaces.
• Evaluations de drocessus Gaussiens composes.
• Functional central limit theorems in Banach spaces.
• Strong laws of large numbers for independent sequences of Banach space-valued random variables.
• Some remarks on the central limit theorem in C(S).
• What second-order lipschitz conditions imply the CLT?.
• Central limit theorem in a Banach space.
• The law of the iterated logarithm for Banach space valued random variables.
• Distribution theory on Banach space.
• A theorem on the rademacher series with vector valued coefficients.
• Central limit problem on Lp (p?2) I. Lévy-Khinchine representation.
• Some new results on central limit theorems for C(S)-valued random variables.
• Almost sure convergence of weighted sums of random elements in Banach spaces.
• Sur la loi du logarithme itere dans les espaces de Banach.
• Invariance principle for Banach space valued random variables and under random partitions.
• Banach support of a probability measure in a locally convex space.
• Weak laws of large numbers in Banach spaces and their extensions.
• Decomposability properties of probability measures on Banach spaces.
• A strong law of large numbers for orthogonal Banach space-valued random variables.
• On weak second order and Gaussian random elements.
• Asymptotic behavior of martingales in Banach spaces.
• Problems.