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arXiv · 2603.20677

Nuclear weighted conditional expectation operators

A. Ommi·Y. Estaremi
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Abstract

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

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A. Ommi, Y. Estaremi. 2026-03-21. Nuclear weighted conditional expectation operators. https://arxiv.org/abs/2603.20677

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