On operators with bounded imaginary powers in Banach spaces

DOI10.1007/BF02570748zbMath0665.47015MaRDI QIDQ1116066

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174139

zbMATH Keywords

Mellin transform viscoelasticity bounded imaginary powers functional calculus abstract Volterra equation Dore-Venni theorem C(sub 0) -semigroups Closed linear densely defined operators sums and products of commuting linear operators zeta-convex Banach space

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Groups and semigroups of linear operators (47D03) Volterra integral equations (45D05) Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials) (74D99)

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