A reflexive space of holomorphic functions in infinitely many variables

Author:

Alencar Raymundo,Aron Richard M.,Dineen Seán

Abstract

We show the existence of an infinite-dimensional Banach space E E such that H ( E ) H(E) , the space of holomorphic functions on E E , endowed with the τ ω {\tau _\omega } topology is reflexive.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference8 articles.

1. Weakly continuous mappings on Banach spaces;Aron, R. M.;J. Functional Analysis,1983

2. Tsirelson’s space;Casazza, P. G.,1982

3. Holomorphic functions on (𝑐₀,𝑋_{𝑏})-modules;Dineen, Seán;Math. Ann.,1972

4. Holomorphic functions on locally convex topological vector spaces. I. Locally convex topologies on \cal𝐻(𝑈);Dineen, Seán;Ann. Inst. Fourier (Grenoble),1973

5. Notas de Matem\'{a}tica [Mathematical Notes];Dineen, Seán,1981

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