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On the Singular Numbers of Certain Volterra Integral Operators

โœ Scribed by D.E. Edmunds; V.D. Stepanov

Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
542 KB
Volume
134
Category
Article
ISSN
0022-1236

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โœฆ Synopsis

A criterion for a certain class of integral operators to belong to Schatten-von Neumann symmetric normed ideals is given. In particular, when (2 \leqslant p<\infty), it is shown that the Schatten (p)-norm of such an operator can be estimated by constant multiples of an integral expression which is a natural extension of the well-known formula for the Hilbert Schmidt norm. ' 1995 Acidemic Press. Inc

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