Invariant subspace lattices and compact operators

Cecelia Laurie

Vol. 89 (1980), No. 2, 351–365

DOI: 10.2140/pjm.1980.89.351

Abstract

A general question is what can the invariant subspaces of a compact operator look like. To obtain information about this, we examine certain lattices of subspaces of a separable Hilbert space with the intent of determinig whether such a lattice could be left invariant by a compact operator.

Mathematical Subject Classification 2000

Primary: 47A15

Secondary: 47B05

Milestones

Received: 21 January 1978

Revised: 14 July 1978

Published: 1 August 1980