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arXiv · 2106.04952

Characterizations of approximation properties defined by operator ideals in the predual of weighted Banach spaces of holomorphic functions

Deepika Baweja·Manjul Gupta
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Abstract

In this article, we show that the predual $\mathcal{G}_w(U)$ of the weighted space of holomorphic functions has the $\mathcal{I}$- approximation property if and only if $E$ has the $\mathcal{I}$- approximation property, where $\mathcal{I}$ is a suitably chosen operator ideal, and $\it{w}$ is a radial weight defined on a balanced open subset U of a Banach space $E$.

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Deepika Baweja, Manjul Gupta. 2021-06-09. Characterizations of approximation properties defined by operator ideals in the predual of weighted Banach spaces of holomorphic functions. https://arxiv.org/abs/2106.04952

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