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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2008; 45(6): 1677-1703

Printed November 1, 2008

Copyright © The Korean Mathematical Society.

Locally convex vector topologies on $\mathcal B(X, Y)$

Changsun Choi and Ju Myung Kim

KAIST and National Institute for Mathematical Sciences

Abstract

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In this paper, we introduce and study various locally convex vector topologies on the space of bounded linear operators between Banach spaces. We also apply these topologies to approximation properties.

Keywords: bounded linear operator, locally convex vector topology, approximation property

MSC numbers: Primary 47A05; Secondary 46B28

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