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On the Continuity of Random Operators
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M. V. Velasco
Published/Copyright:
June 4, 2010
Abstract
In this work we study when an arbitrary linear random operator between Banach spaces must behave as a continuous operator on some measurable set with positive measure. We deal with the continuity in probability as well as the continuity in r–mean.
Key words and phrases.: Probably continuous random operator; continuity in probability; continuity in r–mean
Received: 1996-03-12
Revised: 1997-03-26
Published Online: 2010-06-04
Published in Print: 1997-June
©Heldermann Verlag
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Keywords for this article
Probably continuous random operator;
continuity in probability;
continuity in r–mean
Articles in the same Issue
- Optimal Synthesis for Nonoscillatory Controlled Objects
- Forced Oscillations of First Order Nonlinear Neutral Differential Equations
- Continuity of the Superposition of Set–Valued Functions
- On the Uniqueness of Lebesgue and Borel Measures
- Optimality Conditions for Control Problems Governed by Abstract Semilinear Differential Equations in Complex Banach Spaces
- On the Continuity of Random Operators
- Norms on Possibilities II: More CCC Ideals on 2ω
- Stationary Solutions for Heat Equation Perturbed by General Additive Noise
- Note on Decreasing Rearrangement of Fourier Series
