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Cylindrical measures on tensor products of banach spaces and random linear operators

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Abstract

Two classes of random linear operators, w- and s-operators, are defined, using cylindrical measures and F-cylindrical probabilities on tensor products of Banach spaces. Various Radonifying theorems for such measures are used in order that the composition vAw of a w- or s-operator A and deterministic operators w, v be a bounded one.

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Elezović, N. Cylindrical measures on tensor products of banach spaces and random linear operators. Manuscripta Math 60, 1–20 (1988). https://doi.org/10.1007/BF01168145

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