Representation of Spaces of Entire Functions on Banach Spaces | Zendy

José María M. Ansemil | Zendy; Richard M. Aron | Zendy; Socorro Ponte | Zendy

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Representation of Spaces of Entire Functions on Banach Spaces

Author(s) -

José María M. Ansemil,

Richard M. Aron,

Socorro Ponte

Publication year - 2009

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1241553124

Subject(s) - mathematics , interpolation space , banach space , banach manifold , pure mathematics , eberlein–šmulian theorem , representation (politics) , entire function , lp space , functional analysis , biochemistry , chemistry , politics , political science , law , gene

We prove the impossibility of expressing the space of entire functions on any infinite dimensional complex Banach space with a Schauder basis E as a countable union of spaces of entire functions that are bounded on countable open covers of E.

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