Closed Graph Theorem For Linear Random Operators

Closed Graph Theorem For Linear Random Operators

In this work, which was inspired by the article [2] by M. V. Velasco and A. R. Villena, we obtain a characterization for probably continuous operators and show that the probability of a linear random operator being continuous coincides with the probability of having a closed graph. Furthermore, we l...

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Sprache:eng
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Mathematics - Probability
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Zusammenfassung:In this work, which was inspired by the article [2] by M. V. Velasco and A. R. Villena, we obtain a characterization for probably continuous operators and show that the probability of a linear random operator being continuous coincides with the probability of having a closed graph. Furthermore, we laid the foundations to start a new branch of mathematics, namely, Random Analysis.
DOI:10.48550/arxiv.2207.07655