Original Articles

PROJECTIONS ON OPERATOR DUALS

Published in: Quaestiones Mathematicae
Volume 21 , issue 1-2 , 1998 , pages: 11–18

DOI: 10.1080/16073606.1998.9632022

Author(s): JanH. Fourie Department of Mathematics and Applied Mathematics, South Africa

Keywords: 46A20 , 47B07

Abstract

We discuss the existence of a projection with kernel K_b(E,F) ¹ (the annihilator of the quasi-compact operators) on the dual space of the space L _b,(E, F) of continous linear operators. Our results are proved in the context of Hausdorff locally convex spaces, but also provide extensions of recent results in the context of Banach spaces.

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