A representation theorem for orthogonally additive polynomials on Riesz spaces

DOI10.1007/s13163-010-0053-4zbMath1297.46006arXiv1203.2379OpenAlexW2092835481MaRDI QIDQ365148

Jose G. Llavona, Pablo Linares, Alberto Ibort

Publication date: 4 September 2013

Published in: Revista Matemática Complutense (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.2379

zbMATH Keywords

Riesz spacesorthogonally additive polynomials

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Positive linear operators and order-bounded operators (47B65) Ordered topological linear spaces, vector lattices (46A40)

Related Items (20)

Orthogonally additive polynomials on Banach function algebras ⋮ On compact domination of homogeneous orthogonally additive polynomials ⋮ Factorization of multilinear operators defined on products of function spaces ⋮ Unnamed Item ⋮ Product factorable multilinear operators defined on sequence spaces ⋮ Powers of quasi-Banach lattices and orthogonally additive polynomials ⋮ Orthogonally additive polynomials on convolution algebras associated with a compact group ⋮ Convolution-factorable multilinear operators ⋮ Orthogonal additivity of monomials in positive homogeneous polynomials ⋮ Valuations: from orthogonal additivity to orthosymmetry ⋮ Orthogonally additive polynomials on non-commutative \(L^p\)-spaces ⋮ Orthogonally Additive Polynomials and Orthosymmetric Maps in Banach Algebras with Properties 𝔸 and 𝔹 ⋮ Monomial decomposition of homogeneous polynomials in vector lattices ⋮ Orthogonally additive polynomials on Fourier algebras ⋮ Polynomials on Banach lattices and positive tensor products ⋮ Factorization of \((q,p)\)-summing polynomials through Lorentz spaces ⋮ Domination problem in Banach lattices ⋮ Representation of non-semibounded quadratic forms and orthogonal additivity ⋮ Orthogonally Additive Homogenous Polynomials on Vector Lattices ⋮ Sums of powers of orthogonally additive polynomials

Cites Work

• Orthogonally additive polynomials over \(C(K)\) are measures. A short proof
• Almost \(f\)-algebras: Commutativity and the Cauchy-Schwarz inequality
• Orthogonally additive polynomials on spaces of continuous functions
• On the representation of orthogonally additive polynomials in \(\ell _p\)
• ORTHOGONALLY ADDITIVE POLYNOMIALS ON DEDEKIND σ-COMPLETE VECTOR LATTICES
• Polynomials on Banach spaces with unconditional bases
• Vector Lattice Powers:f-Algebras and Functional Calculus
• HOMOGENEOUS ORTHOGONALLY ADDITIVE POLYNOMIALS ON BANACH LATTICES
• Squares of Riesz spaces
• Unnamed Item
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