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On best simultaneous approximation in quotient spaces |
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| Authors: | M Iranmanesh H Mohebi |
| Institution: | (1) Mahani Mathematical Research Center, University of Kerman, Kerman, Iran |
| Abstract: | We assume that X is a normed linear space, W and M are subspaces of X.We develop a theory of best simultaneous approximation in quotient spaces and introduce equivalent assertions between the subspaces W and W M and the quotient space W/M. |
| Keywords: | quotient space best simultaneous approximation simultaneous pseudoChebyshev simultaneous quasi-Chebyshev simultaneous weakly-Chebyshev SPACES QUOTIENT SIMULTANEOUS APPROXIMATION quotient space develop theory best simultaneous approximation subspaces equivalent normed linear space |
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