Norms and essential norms of linear combinations of endomorphisms

DOI10.1090/S0002-9947-04-03633-5zbMath1081.47029MaRDI QIDQ5705522

Raymond Mortini, Pamela Gorkin

Publication date: 9 November 2005

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

essential normendomorphismmaximal ideal spaceuniform algebracomposition operator

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on function spaces (general) (47B38) Linear composition operators (47B33)

Related Items (6)

Linear combination of composition operators on \(H^\infty\) and the Bloch space ⋮ Linear combinations of composition operators on \(H^{\infty }\) ⋮ Sums of weighted composition operators on \(H^\infty\) ⋮ Linear combinations of composition operators on \(H^{\infty }\) spaces over the unit ball and polydisk ⋮ Composition operators on uniform algebras, essential norms, and hyperbolically bounded sets ⋮ Linear relations in the Calkin algebra for composition operators

Cites Work

• The essential norms and spectra of composition operators on \(H^ \infty\).
• Compact endomorphisms of Banach algebras
• Topological components of the set of composition operators on \(H^\infty(B_N)\)
• Connected components in the space of composition operators on \(H^\infty\) functions of many variables
• Zur abstrakten Theorie der analytischen Funktionen. II.
• Isolated points and essential components of composition operators on 𝐻^{∞}
• Sequences in the Maximal Ideal Space of H ∞
• Completely Continuous Hankel Operators on H ∞ and Bourgain Algebras
• Function algebras
• COMPOSITION OPERATORS ON UNIFORM ALGEBRAS AND THE PSEUDOHYPERBOLIC METRIC
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