Semigroups and resolvents of bounded variation imaginary powers and \(H^ \infty\) functional calculus

DOI10.1007/BF03025777zbMath0779.47036OpenAlexW2334346980MaRDI QIDQ1204127

Khristo N. Boyadzhiev, Ralph J. De Laubenfels

Publication date: 1 March 1993

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135199

zbMATH Keywords

functional calculusbounded strongly continuous holomorphic semigroup of uniform weak bounded variation

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Functional calculus for linear operators (47A60) Functional calculus in topological algebras (46H30)

Related Items

Perturbation and interpolation theorems for the \(H^\infty\)-calculus with applications to differential operators ⋮ Euclidean Structures and Operator Theory in Banach Spaces ⋮ Spectral Theorem for Unbounded Strongly Continuous Groups on a Hilbert Space ⋮ One-parameter groups of regular quasimultipliers ⋮ Similarity to a contraction, for power-bounded operators with finite peripheral spectrum ⋮ Discrete quadratic estimates and holomorphic functional calculi in Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some results about complex powers of closed operators
• Spectral properties of the Laplace operator in \(L^ p(R)\)
• Semigroups of linear operators and applications to partial differential equations
• One-parameter semigroups of positive operators
• Applications of the purely imaginary powers of operators in Hilbert spaces
• On operators with bounded imaginary powers in Banach spaces
• Singular perturbation and boundary layer for an abstract Cauchy problem
• Fractional calculus and its applications. Proceedings of the international conference held at the University of New Haven, June 1974
• Analytic generators for one-parameter groups
• Boundary values of holomorphic semigroups of unbounded operators and similarity of certain perturbations
• On the closedness of the sum of two closed operators
• Semigroups of Unbounded Linear Operators in Banach Space
• On Fractional Integrals of Pure Imaginary Order in L p
• Fractional Derivatives of Imaginary Order
• Imaginary Powers of the Indefinite Integral
• On a Theorem of Schur and On Fractional Integrals of Purely Imaginary Order
• Fractional powers of operators