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arXiv · 2207.07655

Closed Graph Theorem For Linear Random Operators

Kleber Soares Camara
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Abstract

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.

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Kleber Soares Camara. 2022-07-15. Closed Graph Theorem For Linear Random Operators. https://arxiv.org/abs/2207.07655

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