Discrete quadratic estimates and holomorphic functional calculi in Banach spaces

DOI10.1017/S000497270003224XzbMath0942.47011OpenAlexW2145686338MaRDI QIDQ4224798

Edwin Franks, Alan G. R. McIntosh

Publication date: 15 August 2000

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497270003224x

zbMATH Keywords

sectorial operatorbounded holomorphic functionholomorphic functional calculuspolynomially bounded operatorscommuting tuplesimilar to contractions

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Functional calculus in topological algebras (46H30)

Related Items (9)

The Monogenic Functional Calculus ⋮ On joint functional calculus for Ritt operators ⋮ Euclidean Structures and Operator Theory in Banach Spaces ⋮ Square functions for commuting families of Ritt operators ⋮ New properties of the multivariable \(H^\infty\) functional calculus of sectorial operators ⋮ H^∞-functional calculus for commuting families of Ritt operators and sectorial operators ⋮ Unnamed Item ⋮ Ritt operators and convergence in the method of alternating projections ⋮ Square function estimates and the Kato problem for second order parabolic operators in \(\mathbb{R}^{n + 1}\)

Cites Work

• Unnamed Item
• Every completely polynomially bounded operator is similar to a contraction
• Semigroups and resolvents of bounded variation imaginary powers and \(H^ \infty\) functional calculus
• The similarity problem for bounded analytic semigroups on Hilbert space
• Holomorphic functional calculi and sums of commuting opertors

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