Proceedings of the Centre for Mathematics and its Applications

M. S. Lambrou

Full-text: Open access

Abstract

An open problem in operator theory asks whether for a complete atomic Boolean subspace lattice $\ell$ the rank one subalgebra of Alg%\ell% is strong operator dense in Alg%\ell%. A very special case of this problem turns out to be equivalent to an open problem in the Theory of Bases. Here various related questions are surveyed and some positive results are given.

Article information

Source
Workshop/Miniconference on Functional Analysis and Optimization. Simon Fitzpatrick and John Giles, eds. Proceedings of the Centre for Mathematical Analysis, v. 20. (Canberra AUS: Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, 1988), 83-99

Dates
First available in Project Euclid: 18 November 2014

Permanent link to this document
https://projecteuclid.org/ euclid.pcma/1416340106

Citation

Lambrou, M. S. . Workshop/Miniconference on Functional Analysis and Optimization, 83--99, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University, Canberra AUS, 1988. https://projecteuclid.org/euclid.pcma/1416340106


Export citation