Insights on the Cesàro operator: shift semigroups and invariant subspaces

DOI10.1007/S11854-023-0305-0MaRDI QIDQ6566352

Eva A. Gallardo-Gutiérrez, Jonathan R. Partington

Publication date: 3 July 2024

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) Groups and semigroups of linear operators, their generalizations and applications (47Dxx) General theory of linear operators (47Axx)

Cites Work

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• Translation invariant spaces
• Volterra invariant subspaces of \(H^p\)
• Invariant subspaces for translation, dilation and multiplication semigroups
• Semigroups of analytic functions and composition operators
• \(C_0\)-semigroups of 2-isometries and Dirichlet spaces
• On the spectrum of the Cesàro operator on spaces of analytic functions
• The functional calculus for sectorial operators
• Spectral maximal spaces and decomposable operators in Banach space
• Composition Semigroups and the Cesàro Operator OnH ^p
• Integration operators on Bergman spaces
• Bishop's Property (β) and the Cesàro Operator
• An extension of a theorem of Domar on invariant subspaces
• Cesàro Operators on the Hardy Spaces of the Half-Plane
• Universal composition operators
• Continuous Semigroups of Holomorphic Self-maps of the Unit Disc
• The Cesaro Operator in ℓ 2 is Subnormal
• The Cesaro Operator is Bounded on H 1
• The square roots of some classical operators
• Translation invariant subspaces of weighted $l^p$ and $L^p$ spaces.

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