Semigroups of Unbounded Linear Operators in Banach Space

DOI10.2307/1997714zbMath0359.47020OpenAlexW4229684607MaRDI QIDQ4133030

Rhonda J. Hughes

Publication date: 1977

Full work available at URL: https://doi.org/10.2307/1997714

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Groups and semigroups of linear operators (47D03)

Related Items (18)

Continuous integral kernels for unbounded Schrödinger semigroups and their spectral projections ⋮ Integrated semigroups and \(C\)-semigroups and their applications ⋮ Integrated semigroups, C-semigroups and the abstract Cauchy problem ⋮ Linear first order Riemann-Liouville fractional differential and perturbed Abel's integral equations ⋮ Existence and uniqueness of solutions of nonlinear Cauchy‐type problems for first‐order fractional differential equations ⋮ Spectral representation of local semigroups ⋮ Solving Abel's type integral equation with Mikusinski's operator of fractional order ⋮ A semigroup approach to fractional powers ⋮ About fractional integrals in the space of locally integrable functions ⋮ Semigroups and resolvents of bounded variation imaginary powers and \(H^ \infty\) functional calculus ⋮ One-parameter groups of regular quasimultipliers ⋮ Boundary values of holomorphic semigroups of unbounded operators and similarity of certain perturbations ⋮ Complex symmetric evolution equations ⋮ \(C\)-semigroups and strongly continuous semigroups ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ Spectral representation of local semigroups in locally convex spaces ⋮ On the fractional integral of Weyl in \(L^ p\) ⋮ Weakly integrable semigroups on locally convex spaces

Cites Work

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• Integral representation of semi-groups of unbounded self-adjoint operators
• Fractional powers of closed operators and the semigroups generated by them
• Some inequalities satisfied by the integrals or derivatives of real or analytic functions
• Semigroups of transformations in general weak topologies
• On the generation of unbounded semigroups of bounded linear operators
• Unbounded spectral operators
• On Fractional Integrals of Pure Imaginary Order in L p
• The Semi-Simplicity Manifold of Arbitrary Operators
• Representation of fractional powers of infinitesimal generators of semigroups
• Spectral Representations of Certain One-Parametric Families of Symmetric Operators in Hilbert Space
• Imaginary Powers of the Indefinite Integral
• A Note on Semi-Groups of Unbounded Self-Adjoint Operators
• Fractional powers of operators

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