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arXiv · 2602.19105

Weighted conditional expectation operators and nuclearity

M. S. Al Ghafri·S. Shamsigamchi·Y. Estaremi
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Abstract

We provide a characterisations of nuclear weighted conditional expectation operators on $L^p(\mu)$-spaces, for $1\leq p<\infty$. As a consequence, when the underlying measure space is non-atomic, the only nuclear weighted conditional expectation operator on $L^p(\mu)$-spaces is the zero operator.

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M. S. Al Ghafri, S. Shamsigamchi, Y. Estaremi. 2026-02-22. Weighted conditional expectation operators and nuclearity. https://arxiv.org/abs/2602.19105

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