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Projections and embeddings of locally convex operator spaces and their duals

Published online by Cambridge University Press:  24 October 2008

Jan H. Fourie  and
William H. Ruckle
Jan H. Fourie
Affiliation:
Potchefstroom University, Potchefstroom 2520, South Africa
William H. Ruckle
Affiliation:
Clemson University, Clemson, SC 29631, U.S.A.
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Abstract

Let E, F be Hausdorff locally convex spaces. In this note we consider conditions on E and F such that the dual space of the space Kb (E, F) (of quasi-compact operators) is a complemented subspace of the dual space of Lb (E, F) (of continuous linear operators). We obtain necessary and sufficient conditions for Lb(E, F) to be semi-reflexive.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 96 , Issue 2 , September 1984 , pp. 321 - 323
Copyright
Copyright © Cambridge Philosophical Society 1984

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References

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