The representation of a \(C_0\)-semigroup of linear operators in a Banach space on the set of entire vectors of its generator

DOI10.1007/s00020-016-2306-1zbMathNoneOpenAlexW2460888581MaRDI QIDQ334778

Mohammad Hasan, M. Dambrine

Publication date: 1 November 2016

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00020-016-2306-1

zbMATH Keywords

Cauchy problem\(C_0\)-semigroupentire vector of a closed operatorentire vector-valued function of exponential typeinductive and projective limits of Banach spaceslocally analytic vector-valued functionorder and degree of an entire vectororder and type of an entire vector-valued function

Mathematics Subject Classification ID

Operator theory (47-XX)

Related Items (1)

Spaces of smooth and generalized vectors of the generator of an analytic semigroup and their applications

Cites Work

• Representations of a group of linear operators in a Banach space on the set of entire vectors of its generator
• Analytic vectors
• On one-parameter unitary groups in Hilbert space
• One-parameter groups of transformations in abstract vector spaces
• Powers of Generators of Holomorphic Semigroups
• One-Parameter Semigroups for Linear Evolution Equations
• On extensions and restrictions of semigroups of linear operators in a Banach space and their applications
• Analytic and Entire Vectors for Representations of Lie Groups
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