Topological Realizations of Calkin Algebras on Frechet Domains of Unbounded Operator Algebras
Konrad Schmüdgen
Universität Leipzig, Germany
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Abstract
Let be a dense linear subspace of a separable Hilbert space and let be the maximal Op*-algebra on endowed with the uniform topology . Suppose is a Frechet space with respect to the graph topology of . Let denote the two-sided *-ideal of all operators in which map bounded subsets of into relatively compact subsets. We study the question of when the quotient algebra , endowed with the quotient topology, has a topological realization as an Op*-algebra.
Cite this article
Konrad Schmüdgen, Topological Realizations of Calkin Algebras on Frechet Domains of Unbounded Operator Algebras. Z. Anal. Anwend. 5 (1986), no. 6, pp. 481–490
DOI 10.4171/ZAA/217