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Transforming random operators into random bounded operators
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Dang Hung Thang
Published/Copyright:
December 8, 2008
Abstract
Let X, Y be separable Banach spaces and A be a random operator from X into Y. Given two separable Banach spaces E, F. In this paper, we establish sufficient conditions on the deterministic operators W ∈ L(E, X), V ∈ L(Y, F) under which the composition V AW is a random bounded operator.
Received: 2007-11-11
Published Online: 2008-12-08
Published in Print: 2008-November
© de Gruyter 2008
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Keywords for this article
Random operators;
bounded random operators;
summing operators;
nuclear operators
Articles in the same Issue
- Weak solutions for random nonlinear parabolic equations of nonlocal type
- A simplified version of Cochran's theorem in mixed linear models
- On a method for an effective calculation of optimal estimates in problems of a filtration of random processes for certain nonlinear evolution differential equations in a Hilbert space. Part 1
- A remark on some random fixed points of multivalued SL-random operators satisfying the nonstrict Opial's property and corrigendum to “Random fixed points of multivalued random operators with property (D)”
- Discrete time approximation of BSDEs driven by a Lévy process
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- A remark on probability distributions and characteristic functionals for random functions of sets
