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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; [email protected]
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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

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