Multismoothness in Banach spaces
type: Item
instance of: scholarly article
title: Multismoothness in Banach spaces
zbMATH Open document ID: 1152.46302
DOI: 10.1155/2007/52382
author: T.S.S.R.K. Rao
author: Bor-Luh Lin
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2008-06-03T00:00:00Z
full work available at URL: https://eudml.org/doc/54891
review text: Summary: Motivated by the results published by \textit{R. Khalil} and \textit{A. Saleh} [Missouri J. Math. Sci. 17, No. 2, 76--87 (2005; Zbl 1085.46012)], we study the notion of \(k\)-smooth points and the notion of \(k\)-smoothness, which are dual to the notion of \(k\)-rotundity. Generalizing these notions and combining smoothness with the recently introduced notion of unitary, we study classes of Banach spaces for which the vector space, spanned by the state space corresponding to a unit vector, is a closed set.
Mathematics Subject Classification ID: 46B20
zbMATH DE Number: 5282538
MaRDI profile type: Publication
OpenAlex ID: W2012945873
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description: scientific article; zbMATH DE number 5282538