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Bull. Korean Math. Soc. 2008; 45(3): 601-606
Printed September 1, 2008
Copyright © The Korean Mathematical Society.
On $w$-Chebyshev subspaces in Banach spaces
Maram Shams, Hamid Mazaheri, and Sayed Mansour Vaezpour
Yazd University, Yazd University, Yazd University
The purpose of this paper is to introduce and discuss the concept of $w$-Chebyshev subspaces in Banach spaces. The concept of quasi Chebyshev in Banach space is defined. We show that $w$-Chebyshevity of subspaces are a new class in approximation theory. In this paper, also we consider orthogonality in normed spaces.
Keywords: $w$-Chebyshev subspaces, orthogonality, proximinal subspaces, Chebyshev subspaces
MSC numbers: Primary 41A65, 46B50, 46B20, 41A50
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