A rigid space admitting compact operators

Volume 112 / 1995

Paul Sisson Studia Mathematica 112 (1995), 213-228 DOI: 10.4064/sm-112-3-213-228


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.


  • Paul Sisson

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