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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

A reflexive space of holomorphic functions in infinitely many variables


Authors: Raymundo Alencar, Richard M. Aron and Seán Dineen
Journal: Proc. Amer. Math. Soc. 90 (1984), 407-411
MSC: Primary 46G20; Secondary 32A10
DOI: https://doi.org/10.1090/S0002-9939-1984-0728358-5
MathSciNet review: 728358
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Abstract: We show the existence of an infinite-dimensional Banach space $ E$ such that $ H(E)$, the space of holomorphic functions on $ E$, endowed with the $ {\tau _\omega }$ topology is reflexive.


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DOI: https://doi.org/10.1090/S0002-9939-1984-0728358-5
Keywords: Reflexivity, weakly sequentially continuous, Tsirelson space
Article copyright: © Copyright 1984 American Mathematical Society