Proceedings of the American Mathematical Society

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

 

 

Holomorphic germs on Tsirelson's space


Authors: Jorge Mujica and Manuel Valdivia
Journal: Proc. Amer. Math. Soc. 123 (1995), 1379-1384
MSC: Primary 46G20; Secondary 46E50
MathSciNet review: 1219730
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Abstract: We show that if K is an arbitrary compact subset of the Banach space constructed by Tsirelson, then the space $ \mathcal{H}(K)$ of all holomorphic germs on K, with its natural inductive limit topology, is totally reflexive.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1219730-5
Article copyright: © Copyright 1995 American Mathematical Society