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http://dx.doi.org/10.4134/BKMS.2008.45.3.601

ON ω-CHEBYSHEV SUBSPACES IN BANACH SPACES  

Shams, Maram (DEPARTMENT OF MATHEMATICS YAZD UNIVERSITY)
Mazaheri, Hamid (DEPARTMENT OF MATHEMATICS YAZD UNIVERSITY)
Vaezpour, Sayed Mansour (DEPARTMENT OF MATHEMATICS YAZD UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.45, no.3, 2008 , pp. 601-606 More about this Journal
Abstract
The purpose of this paper is to introduce and discuss the concept of ${\omega}$-Chebyshev subspaces in Banach spaces. The concept of quasi Chebyshev in Banach space is defined. We show that ${\omega}$-Chebyshevity of subspaces are a new class in approximation theory. In this paper, also we consider orthogonality in normed spaces.
Keywords
${\omega}$-Chebyshev subspaces; orthogonality; proximinal subspaces; Chebyshev subspaces;
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