English

Closed Graph Theorem For Linear Random Operators

Probability 2022-07-19 v1

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.

Keywords

Cite

@article{arxiv.2207.07655,
  title  = {Closed Graph Theorem For Linear Random Operators},
  author = {Kleber Soares Camara},
  journal= {arXiv preprint arXiv:2207.07655},
  year   = {2022}
}

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