Paper Title:

On ε-simultaneous Approximation in Quotient Spaces

Author(s):

H. Alizadeh, Sh. Rezapour, S. M. Vaezpour

Department of Mathematics, Aazad
Islamic University, Science and Research Branch, Tehran,
Iran

Department of Mathematics, Azarbaidjan
University of Tarbiat Moallem, Tabriz,
Iran

Department of Mathematics, Amirkabir
University of Technology, Tehran,
Iran

alizadehhossain@yahoo.com
sh.rezapour@azaruniv.edu
vaez@aut.ac.ir

URL:http://www.azaruniv.edu/~rezapour
URL:http://math-cs.aut.ac.ir/vaezpour

Abstract:

The purpose of this paper is to develop a theory of best simultaneous approximation to ε-simultaneous approximation. We shall introduce the concept of ε-simultaneous pseudo Chebyshev, ε-simultaneous quasi Chebyshev and ε-simultaneous weakly Chebyshev subspaces of a Banach space. Then, it will be determined under what conditions these subspaces are transmitted to and from quotient spaces.

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