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Compact operators on spaces with asymmetric norm

Stefan Cobzaş
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Abstract

The aim of the present paper is to define compact operators on asymmetric normed spaces and to study some of their properties. The dual of a bounded linear operator is defined and a Schauder type theorem is proved within this framework. The paper contains also a short discussion on various completeness notions for quasi-metric and for quasi-uniform spaces.

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Stefan Cobzaş. 2006-08-01. Compact operators on spaces with asymmetric norm. https://arxiv.org/abs/math/0608031

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