Hostname: page-component-76fb5796d-skm99 Total loading time: 0 Render date: 2024-04-26T18:23:12.040Z Has data issue: false hasContentIssue false

A NON-SEPARABLE REFLEXIVE BANACH SPACE ON WHICH THERE ARE FEW OPERATORS

Published online by Cambridge University Press:  30 January 2002

H. M. WARK
Affiliation:
39 The Paddock, Perceton, Irvine, Ayrshire KA11 2AZ; james.wark@btinternet.com
Get access

Abstract

It is shown that there exists a non-separable reflexive Banach space on which every bounded linear operator is the sum of a scalar multiple of the identity operator and an operator of separable range. There is a strong sense that such a Banach space has as few operators as its linear and topological properties allow.

Type
Research Article
Copyright
London Mathematical Society 2001

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)