Some results about complex powers of closed operators

DOI10.1016/0022-247X(90)90290-VzbMath0712.47003MaRDI QIDQ748830

Alberto Venni, Giovanni Dore

Publication date: 1990

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

growth of the imaginary powers of the sum of two operatorslinear operators on a complex Banach space having bounded imaginary powerssufficient condition for a perturbation of positive operators with bounded imaginary powers to have bounded imaginary powers

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) General (adjoints, conjugates, products, inverses, domains, ranges, etc.) (47A05)

Related Items

On operators with bounded imaginary powers in Banach spaces, Functional calculi of second-order elliptic partial differential operators with bounded measurable coefficients, Characterizations of domains of fractional powers for non-negative operators, Spectral Theorem for Unbounded Strongly Continuous Groups on a Hilbert Space, Semigroups and resolvents of bounded variation imaginary powers and \(H^ \infty\) functional calculus, Functional calculus for some perturbations of the Ornstein--Uhlenbeck operator, The hydrostatic approximation for the primitive equations by the scaled Navier-Stokes equations under the no-slip boundary condition, Two Results About H^∞ Functional Calculus on Analytic umd Banach Spaces

Cites Work

• Sommes d'opérateurs linéaires et équations différentielles opérationnelles
• On the closedness of the sum of two closed operators
• Separation of two (possibly unbounded) components of the spectrum of a linear operator
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