On the theory of semigroups of operators on locally convex spaces

DOI10.1016/0022-1236(74)90061-5zbMath0294.47028OpenAlexW2013050177MaRDI QIDQ1212667

Benjamin Dembart

Publication date: 1974

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

Full work available at URL: https://doi.org/10.1016/0022-1236(74)90061-5

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Perturbation theory of linear operators (47A55) Groups and semigroups of linear operators (47D03) General theory of locally convex spaces (46A03) Differential equations in abstract spaces (34G99)

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Linear dynamics of semigroups generated by differential operators, Strongly continuous and locally equi-continuous semigroups on locally convex spaces, Absorption semigroups, their generators, and Schrödinger semigroups, Deterministic and stochastic differential equations in infinite- dimensional spaces, Distributionally chaotic families of operators on Fréchet spaces, On the Laplace transform for vector valued hyperfunctions, On the Lie-Trotter approximation formula, Abstract Volterra equations in locally convex spaces, On the abstract Cauchy problem for operators in locally convex spaces, \(C_0\)-sequentially equicontinuous semigroups, Generation of locally equi-bounded semigroups in inductive limits of Banach spaces, On the perturbation theory for strongly continuous semigroups, An integro-differential equation from population genetics and perturbations of differentiable semigroups in Fréchet spaces, Strongly compatible generators of groups on Fréchet spaces, Subordination for sequentially equicontinuous equibounded \(C_0\)-semigroups, Quasi-equicontinous exponential families of generalized function \(C\)-semigroups in locally convex spaces, On equicontinuity and tightness of bi-continuous semigroups, The abstract Cauchy problem in locally convex spaces, Desch‐Schappacher perturbation of one‐parameter semigroups on locally convex spaces

Cites Work

• Bounded generators of linear spaces
• Semigroups of operators in locally convex spaces
• On perturbation theory for semi-groups of operators
• Measurable, continuous and smooth vectors for semi-groups and group representations
• Some properties of regular distribution semi-groups
• Banach algebras of operators on locally convex spaces
• Relatively Continuous Linear Operators and Some Perturbation Results
• Generation of equicontinuous semigroups by hermitian and sectorial operators. I
• Semigroups of Operators on Locally Convex Spaces
• Perturbation Theory for Semi-Groups of Linear Operators
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