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

VLADIMIR D. STEPANOV

doi:10.1112/S0024610700008814

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.

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

Abstract

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

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