A rigid space admitting compact operators

Paul Sisson

ArticleOriginal scientific text

Title

A rigid space admitting compact operators

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Affiliations

Department of Mathematics, Louisiana State University-Shreveport, Shreveport, Louisiana 71115 U.S.A.

Abstract

A rigid space is a topological vector space whose endomorphisms are all simply scalar multiples of the identity map. The first complete rigid space was published in 1981 in [2]. Clearly a rigid space is a trivial-dual space, and admits no compact endomorphisms. In this paper a modification of the original construction results in a rigid space which is, however, the domain space of a compact operator, answering a question that was first raised soon after the existence of complete rigid spaces was demonstrated.

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Title

A rigid space admitting compact operators

Affiliations

Abstract

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