The essential norms and spectra of composition operators on \(H^ \infty\).

DOI10.2140/pjm.2002.203.503zbMath1053.47022OpenAlexW1990600791MaRDI QIDQ701238

Lixin Zheng

Publication date: 22 October 2002

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.2002.203.503

zbMATH Keywords

spectrumessential normcomposition operator on \(H^\infty\)

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (18)

Spectra of weighted composition operators on weighted Banach spaces of analytic functions ⋮ Königs eigenfunction for composition operators on Bloch and \(H^\infty\) type spaces ⋮ Eigenvalues and spectra of composition operators acting on weighted Bergman spaces of infinite order on the unit polydisk ⋮ Topological structure of the space of composition operators on \(L^{\infty}\) of an unbounded, locally finite metric space ⋮ Composition operators on Cesàro function spaces ⋮ On norms of composition operators acting on Bergman spaces. ⋮ Essential norms of Volterra and Cesàro operators on Müntz spaces ⋮ Norms and essential norms of linear combinations of endomorphisms ⋮ Spectra and essential spectral radii of composition operators on weighted Banach spaces of analytic functions ⋮ Linear combinations of composition operators on \(H^{\infty }\) ⋮ In Koenigs' footsteps: diagonalization of composition operators ⋮ Eigenvalues and entropy moduli of operators in interpolation spaces ⋮ Weighted Banach spaces of harmonic functions ⋮ Spectra of weighted composition operators on analytic function spaces ⋮ Spectra of linear fractional composition operators onH²(B_N) ⋮ Quasicompact and Riesz endomorphisms of Banach algebras ⋮ Spectra of weighted composition operators on algebras of analytic functions on banach spaces ⋮ Composition operators on uniform algebras, essential norms, and hyperbolically bounded sets

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