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arXiv · 2411.03798

Some geometric properties of spaces of vector-valued integrable functions

Mohit·Ranjana Jain
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Abstract

We identify the smooth points of $L^1(\mu,X)$, and provide some necessary and sufficient conditions for left and right symmetry of points with respect to Birkhoff-James orthogonality in $L^p(\mu,X), 1\leq p<\infty$, where $\mu$ is any complete positive measure and $X$ is a Banach space with some suitable properties.

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Mohit, Ranjana Jain. 2024-11-06. Some geometric properties of spaces of vector-valued integrable functions. https://arxiv.org/abs/2411.03798

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