Open AccessMultismoothness in Banach Spaces
Author(s) -
Bor-Luh Lin,
T. S. S. R. K. Rao
Publication year - 2007
Publication title -
international journal of mathematics and mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 39
eISSN - 1687-0425
pISSN - 0161-1712
DOI - 10.1155/2007/52382
Subject(s) - banach space , smoothness , mathematics , algorithm , discrete mathematics , mathematical analysis
In this paper, motivated by the results published by R. Khalil and A. Saleh in 2005, 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 forwhich the vector space, spanned by the state space corresponding to aunit vector, is a closed set
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