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.
Information
Published: 1 January 1988
First available in Project Euclid: 18 November 2014
Rights: Copyright © 1988, Centre for Mathematics and its Applications, Mathematical Sciences Institute, The Australian National University. This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.
