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A Characterization of Uniform Continuity for Volterra Equations in Hilbert Spaces

Carlos Lizama
Proceedings of the American Mathematical Society
Vol. 126, No. 12 (Dec., 1998), pp. 3581-3587
Stable URL: http://www.jstor.org/stable/118967
Page Count: 7
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Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
A Characterization of Uniform Continuity for Volterra Equations in Hilbert Spaces
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Abstract

We show that the norm continuity of the resolvent for a Volterra equation of scalar type is equivalent to the decay to zero of a holomorphic operator family along some imaginary axis.

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