Hostname: page-component-848d4c4894-nr4z6 Total loading time: 0 Render date: 2024-05-21T01:02:29.563Z Has data issue: false hasContentIssue false
  • English
  • Français

ON THE LOWER BOUNDS FOR SCHATTEN–VON NEUMANN NORMS OF CERTAIN VOLTERRA INTEGRAL OPERATORS

Published online by Cambridge University Press:  01 June 2000

VLADIMIR D. STEPANOV
VLADIMIR D. STEPANOV
Affiliation:
Russian Academy of Sciences, Khabarovsk 680042, Russia; stepanov@as.dv.khv.ru
Get access

Abstract

It is shown that the Schatten–von Neumann p-norm of a Volterra integral operator of the form

formula here

is sandwiched, when 2 [les ] p < ∞, by an integral expression similar to the well-known Hilbert–Schmidt norm.

Type
Research Article
Information
Journal of the London Mathematical Society , Volume 61 , Issue 3 , June 2000 , pp. 905 - 922
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.)