Orthogonally additive polynomials on spaces of continuous functions

DOI10.1016/j.jmaa.2004.12.036zbMath1076.46035OpenAlexW2152695407WikidataQ59474396 ScholiaQ59474396MaRDI QIDQ1779342

Ignacio Villanueva, David Pérez-García

Publication date: 1 June 2005

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

Full work available at URL: http://eprints.ucm.es/11674/1/2005Orthogonallyadditive.pdf

zbMATH Keywords

orthogonally additive polynomialsC(K)

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Banach lattices (46B42) (Spaces of) multilinear mappings, polynomials (46G25)

Related Items (33)

Orthogonally additive polynomials on Banach function algebras ⋮ On compact domination of homogeneous orthogonally additive polynomials ⋮ A decomposition theorem for polymeasures ⋮ Factorization of multilinear operators defined on products of function spaces ⋮ Continuous orthosymmetric multilinear maps and homogeneous polynomials on Riesz spaces revisited ⋮ Geometry of spaces of orthogonally additive polynomials on \(C(K)\) ⋮ A representation theorem for orthogonally additive polynomials on Riesz spaces ⋮ Orthogonally additive holomorphic functions on open subsets of \(C(K)\) ⋮ Powers of quasi-Banach lattices and orthogonally additive polynomials ⋮ A factorization for orthogonally additive operators on Banach lattices ⋮ Orthogonally additive polynomials on convolution algebras associated with a compact group ⋮ Nonlinear functionals on Banach lattices satisfying disjointness preserving properties ⋮ On the multilinear Hausdorff problem of moments ⋮ Abstract M- and Abstract L-Spaces of Polynomials on Banach Lattices ⋮ Convolution-factorable multilinear operators ⋮ Homogeneous orthogonally additive polynomials on vector lattices ⋮ Orthogonally additive polynomials on non-commutative \(L^p\)-spaces ⋮ Orthogonally Additive Polynomials and Orthosymmetric Maps in Banach Algebras with Properties 𝔸 and 𝔹 ⋮ Orthogonally additive polynomials on Fourier algebras ⋮ The Dineen problem for homogeneous orthogonally-additive polynomials. ⋮ Polynomials on Banach lattices and positive tensor products ⋮ Orthogonal forms and orthogonality preservers on real function algebras ⋮ Representation of non-semibounded quadratic forms and orthogonal additivity ⋮ Representation of orthogonally additive polynomials ⋮ Characterization of dual mixed volumes via polymeasures ⋮ Polynomials with an integral representation ⋮ Orthogonally additive holomorphic functions of bounded type over C(K) ⋮ Orthogonally additive and orthogonality preserving holomorphic mappings between \(C^\ast\)-algebras ⋮ On the representation of orthogonally additive polynomials in \(\ell _p\) ⋮ Integral representation of product factorable bilinear operators and summability of bilinear maps on \(\mathcal{C}(K)\)-spaces ⋮ ORTHOGONALITY PRESERVERS REVISITED ⋮ Orthogonally Additive Homogenous Polynomials on Vector Lattices ⋮ A Nakano carrier theorem for polynomials

Cites Work

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• Multilinear operators on spaces of continuous functions
• A representation theorem for additive functionals
• Completely continuous multilinear operators on $C(K)$ spaces
• Remarks on a theorem of Taskinen on spaces of continuous functions
• Additive Functionals on L_p Spaces

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