Continuity properties of fractional powers, of the logarithm, and of holomorphic semigroups

DOI10.1016/0022-1236(78)90016-2zbMath0383.47014OpenAlexW2055860641MaRDI QIDQ1248796

Jürg Weilenmann

Publication date: 1978

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(78)90016-2

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Perturbation theory of linear operators (47A55) Groups and semigroups of linear operators (47D03)

Related Items (8)

Differential equations in a Banach space ⋮ A second-order evolution equation and logarithmic operators ⋮ Strongly damped wave equations with mass-like terms of the logarithmic-Laplacian ⋮ Perturbation theorems for holomorphic semigroups ⋮ Ill-posed problems associated with sectorial operators in Banach space ⋮ An approximation theorem for linear Cauchy problems in Banach space ⋮ Double diffusion structure of logarithmically damped wave equations with a small parameter ⋮ The complexity of relating quantum channels to master equations

Cites Work

• Fractional powers of closed operators and the semigroups generated by them
• Über den Index abgeschlossener Operatoren in Banachräumen
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