A note on quasidiagonal and quasitriangular operators

Glenn Richard Luecke

Vol. 56 (1975), No. 1, 179–185

DOI: 10.2140/pjm.1975.56.179

Abstract

Let H be a fixed separable Hilbert space of infinite dimension. Let 𝒩, 𝒦𝒟 and 𝒯 be all normal, compact, quasidiagonal and quasitriangular operators on H, respectively. In this note it is shown that 𝒩 + 𝒦 is arcwise connected, nowhere dense subset of 𝒟 and 𝒟 is an arcwise connected, nowhere dense subset of 𝒯 .

Mathematical Subject Classification 2000

Primary: 47A65

Milestones

Received: 21 September 1973

Published: 1 January 1975