Zero product preserving maps on \(C^1[0,1]\)

DOI10.1016/J.JMAA.2008.06.037zbMath1156.46023OpenAlexW2202841396MaRDI QIDQ944341

J. Extremera, Matej Brešar, Miran Cerne, Jerónimo Alaminos, Armando R. Villena

Publication date: 16 September 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.06.037

zbMATH Keywords

continuously differentiable functionszero product preserving bilinear maps

Mathematics Subject Classification ID

Banach spaces of continuous, differentiable or analytic functions (46E15) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (11)

Factorization of multilinear operators defined on products of function spaces ⋮ Additive jointly separating maps and ring homomorphisms ⋮ Derivable maps and derivational points ⋮ Zero product determined Jordan algebras, I ⋮ LINEAR ORTHOGONALITY PRESERVERS OF HILBERT BUNDLES ⋮ Zero product preserving maps on Banach algebras of Lipschitz functions ⋮ Integral representation of product factorable bilinear operators and summability of bilinear maps on \(\mathcal{C}(K)\)-spaces ⋮ Zero Product Determined Jordan Algebras, II ⋮ 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 ⋮ Bilinear forms on matrix algebras vanishing on zero products of \(xy\) and \(yx\)

Cites Work

• Unnamed Item
• Disjointness preserving and local operators on algebras of differentiable functions
• Réctification à l'article "Une caractérisation abstraite des opérateurs différentiels"
• Maps preserving zero products
• Local derivations on $C^*$-algebras are derivations
• Characterizing homomorphisms and derivations on C*-algebras

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