Hostname: page-component-7bb8b95d7b-2h6rp Total loading time: 0 Render date: 2024-09-22T23:09:49.855Z Has data issue: false hasContentIssue false
  • English
  • Français

Constructing an operator from a complete and minimal set

Published online by Cambridge University Press:  12 July 2007

Jiban Nath
Jiban Nath
Affiliation:
Department of Mathematics, King's College London, Strand, London WC2R 2LS, UK (jnath@mth.kcl.ac.uk)
Get access Rights & Permissions [Opens in a new window]

Abstract

Let be a complete and minimal set in a Hilbert space X, which is not an unconditional basis. Then there exists an operator that is densely defined on X, does not have a good spectral behaviour and all the vectors {ei} are its eigenvectors.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 133 , Issue 3 , June 2003 , pp. 653 - 663
Copyright
Copyright © Royal Society of Edinburgh 2003

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.)