2007Analysis in Theory and ApplicationsRequires access

On best simultaneous approximation in quotient spaces

Mahdi Iranmanesh, H. Mohebi

Open publisher page 9 citations

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 .

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What this paper is about

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 .

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OpenAlex reports 9 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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 .

Key concepts: Quotient, Linear subspace, Mathematics, Quotient space (topology), Space (punctuation), Pure mathematics, Discrete mathematics, Combinatorics

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