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Incompleteness of the linear span of the positive compact operators
Authors:Z L Chen  A W Wickstead
Institution:Department of Pure Mathematics, The Queen's University of Belfast, Belfast BT7 1NN, Northern Ireland

A. W. Wickstead ; Department of Pure Mathematics, The Queen's University of Belfast, Belfast BT7 1NN, Northern Ireland

Abstract:We show that even in the case of a Banach lattice $E$ with an order continuous norm (or whose dual has an order continuous norm) the linear span of the positive compact operators on $E$ need not be complete under the regular norm.

Keywords:Compact operators  regular operators
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