Research Article

The approximation property for the predual of weighted spaces of holomorphic mappings on Banach spaces

Published in: Quaestiones Mathematicae
Volume 48 , issue 2 : Entrepreneurship and Africa’s Cultural Context , 2024 , pages: 315–330
DOI: 10.2989/16073606.2024.2395376
Author(s): Deepika Baweja , India, Jahir Abbas Sardar , India,
Keywords: 46B28, 46E50, 46G20, Holomorphic mappings, weighted spaces of holomorphic functions, linearization, approximation property,
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Abstract

In this paper, we investigate the approximation property for the predual of the weighted space of holomorphic mappings, where is a countable family of weights defined on a balanced open subset U of a Banach space E. We introduce a locally convex topology on and show that is topologically isomorphic to for a suitably restricted family . As a consequence, certain characterizations of the approximation property for the space are proved.
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