A characterization of uniform continuity for volterra equations in hilbert spaces

Lizama C.

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. ©1998 American Mathematical Society.

Más información

Título de la Revista: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Volumen: 126
Número: 12
Editorial: AMER MATHEMATICAL SOC
Fecha de publicación: 1998
Página de inicio: 3581
Página final: 3587
URL: http://www.scopus.com/inward/record.url?eid=2-s2.0-22444454861&partnerID=q2rCbXpz