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Abstract
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The purpose of this paper is to develop a theory of best simultaneous approximation
to "-simultaneous approximation. We shall introduce the concept of "-simultaneous pseudo
Chebyshev, "-simultaneous quasi Chebyshev and "-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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