Hostname: page-component-cd9895bd7-dzt6s Total loading time: 0 Render date: 2024-12-25T06:04:39.272Z Has data issue: false hasContentIssue false
  • English
  • Français

A NOTE ON POSITIVITY OF ELEMENTARY OPERATORS

Published online by Cambridge University Press:  01 March 2000

RICHARD M. TIMONEY
RICHARD M. TIMONEY
Affiliation:
School of Mathematics, Trinity College, Dublin 2, Ireland
Get access

Abstract

We show that operators on n × n matrices which are representable in the form T(X) = [sum ][lscr ]i=1aiXbi (where ai and bi are n × n matrices) and are k-positive for k = [√[lscr ]] must be completely positive. As a consequence, elementary operators on a C*-algebra with minimal length [lscr ] which are k-positive for k = [√[lscr ]] must be completely positive.

Type
NOTES AND PAPERS
Information
Bulletin of the London Mathematical Society , Volume 32 , Issue 2 , March 2000 , pp. 229 - 234
Copyright
© The London Mathematical Society 2000

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.)