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Factorisation d'opérateurs aléatoires, d'après Benyamini et Gordon

G. Pisier (1979/1980)

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")

Factorization of the Green's operator and weak-type estimates for a random walk on a tree.

Richard Rochberg, Mitchell Taibleson (1991)

Publicacions Matemàtiques

Factorization through Hilbert space and the dilation of L(X,Y)-valued measures

V. Mandrekar, P. Richard (1993)

Studia Mathematica

We present a general necessary and sufficient algebraic condition for the spectral dilation of a finitely additive L(X,Y)-valued measure of finite semivariation when X and Y are Banach spaces. Using our condition we derive the main results of Rosenberg, Makagon and Salehi, and Miamee without the assumption that X and/or Y are Hilbert spaces. In addition we relate the dilation problem to the problem of factoring a family of operators through a single Hilbert space.

Factors and Roots of Large Measures on Connected Lie Groups.

Michael McCrudden (1981)

Mathematische Zeitschrift

Factors, Roots and Embeddability of Measures on Lie Groups.

S.G. Dani, M. McCrudden (1988)

Mathematische Zeitschrift

Finitely-additive, countably-additive and internal probability measures

Haosui Duanmu, William Weiss (2018)

Commentationes Mathematicae Universitatis Carolinae

We discuss two ways to construct standard probability measures, called push-down measures, from internal probability measures. We show that the Wasserstein distance between an internal probability measure and its push-down measure is infinitesimal. As an application to standard probability theory, we show that every finitely-additive Borel probability measure $P$ on a separable metric space is a limit of a sequence of countably-additive Borel probability measures ${P_{n}}_{n \in ℕ}$ in the sense that $\int f d P = {lim}_{n \to \infty} \int f d P_{n}$ for all bounded...