Grothendieck space.

S. A. K. Shinwari

Author(s)

S. A. K. Shinwari Mathematics Department, Quaid-i-Azam, University, Islamabad, Pakistan

Abstract

Let X be a compact Hausdorff Frechet (F) space and E be a reflexive Banach space. It is proved that C(X, E), the space of all E-valued continous functions on X, is a Grothendieck space if and only if the space E is of finite dimension.

Publication Details

Page(s) 71-72

DOI DOI not available

Published Journal: Journal of Science and Technology, Volume: 3, Issue: 1--2, Year: 1979

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