Disjointness preserving and local operators on algebras of differentiable functions

DOI10.1017/S0017089501020134zbMath0994.47030OpenAlexW2042724960MaRDI QIDQ2731122

Robert Kantrowitz, Michael M. Neumann

Publication date: 29 September 2002

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089501020134

zbMATH Keywords

automatic continuityrepresentation theorylocal operatordisjointness preserving operatormetrizable topological algebras

Mathematics Subject Classification ID

Automatic continuity (46H40) Banach algebras of differentiable or analytic functions, (H^p)-spaces (46J15) Linear operators on function spaces (general) (47B38) Linear operators on Banach algebras (47B48)

Related Items (13)

Linear biseparating maps between spaces of vector-valued differentiable functions and automatic continuity ⋮ Characterizing linear mappings through zero products or zero Jordan products ⋮ Characterization and automatic continuity of separating maps between Banach modules ⋮ Subadditive Banach module valued separating maps ⋮ Weighted composition operators on \(C(X)\) and \(\text{Lip}_c(X,\alpha)\) ⋮ Zero product preserving maps on \(C^1[0,1\)] ⋮ LINEAR ORTHOGONALITY PRESERVERS OF HILBERT BUNDLES ⋮ Disjointness preserving operators between little Lipschitz algebras ⋮ Local operators on \(C^p\) ⋮ Biseparating maps between Lipschitz function spaces ⋮ Inverses of disjointness preserving operators ⋮ Zero product preserving functionals on \(C(\varOmega)\)-valued spaces of functions ⋮ Linear orthogonality preservers of Hilbert $C^{*}$-modules over $C^{*}$-algebras with real rank zero

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