Some remarks on the schur approximation property

Rao, T. S. S. R. K. (1993) Some remarks on the schur approximation property Quaestiones Mathematicae, 16 (2). pp. 149-156. ISSN 1607-3606

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Official URL: http://www.tandfonline.com/doi/abs/10.1080/1607360...

Related URL: http://dx.doi.org/10.1080/16073606.1993.9631725

Abstract

In this paper we study a modified version of the Schur approximation property recently introduced by J.A. de Reyna et. al. Our modification is along the lines of a compact approximation property that has been studied in the M-structure theory. We show that a space with the modified Schur approximation property has the hereditary Dunford and Pettis property and any subspace of it that is isomorphic to a dual space has the Schur property.

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