Strictly diagonal holomorphic functions on Banach spaces
Journal Title: Карпатські математичні публікації - Year 2015, Vol 7, Issue 2
Abstract
In this paper we investigate the boundedness of holomorphic functionals on a Banach space with a normalized basis {en} which have a very special form f(x)=f(0)+∑∞n=1cnxnn and which we call strictly diagonal. We consider under which conditions strictly diagonal functions are entire and uniformly continuous on every ball of a fixed radius.
Authors and Affiliations
O. I. Fedak, A. V. Zagorodnyuk
Keywords
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- EP ID EP542031
- DOI 10.15330/cmp.7.2.254-258
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