On best simultaneous approximation in quotient spaces
Mahdi Iranmanesh, H. Mohebi
Abstract
Mahdi Iranmanesh, H. Mohebi
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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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