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

2021/06/09 by Baweja, Deepika, Gupta, Manjul
#46B28 #46E50 #46G20 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2106.04952

Abstract

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

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