A rigid space admitting compact operators
Tom 112 / 1995
Studia Mathematica 112 (1995), 213-228
DOI: 10.4064/sm-112-3-213-228
Streszczenie
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.