Best p-Simultaneous Approximation in Some Metric Space

Authors: MONA KHANDAQJI, WASFI SHATANAWI

Abstract: Let X be a Banach space, (I,\mu) be a finite measure space, and \Phi be an increasing subadditive continuous function on [0,+\infty) with \Phi(0)=0. In the present paper, we discuss the best p-simultaneous approximation of L^\Phi(I,G) in L^\Phi(I,X) where G is a closed subspace of X.

Keywords: Simultaneous, Approximation

Full Text: PDF