Coefficient multipliers on Banach spaces of analytic functions | Zendy

Óscar Blasco | Zendy; Miroslav Pavlović | Zendy

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Coefficient multipliers on Banach spaces of analytic functions

Author(s) -

Óscar Blasco,

Miroslav Pavlović

Publication year - 2011

Publication title -

revista matemática iberoamericana

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.569

H-Index - 52

eISSN - 2235-0616

pISSN - 0213-2230

DOI - 10.4171/rmi/642

Subject(s) - banach space , mathematics , eberlein–šmulian theorem , mathematical analysis , interpolation space , pure mathematics , lp space , functional analysis , chemistry , biochemistry , gene

summary:In this paper we analyse a definition of a product of Banach spaces that is naturally associated by duality with a space of operators that can be considered as a generalization of the notion of space of multiplication operators. This dual relation allows to understand several constructions coming from different fields of functional analysis that can be seen as instances of the abstract one when a particular product is considered. Some relevant examples and applications are shown, regarding pointwise products of Banach function spaces, spaces of integrable functions with respect to vector measures, spaces of operators, multipliers on Banach spaces of analytic functions and spaces of Lipschitz functions

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