Polynomials on Riesz spaces

DOI10.1016/j.jmaa.2009.06.057zbMath1187.46035OpenAlexW2159219504MaRDI QIDQ847052

John Loane

Publication date: 12 February 2010

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.2009.06.057

zbMATH Keywords

Hahn-Banach theorempolynomialRiesz space

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) (Spaces of) multilinear mappings, polynomials (46G25) Ordered normed spaces (46B40)

Related Items (17)

Unnamed Item ⋮ The 2-concavification of a Banach lattice equals the diagonal of the Fremlin tensor square ⋮ Geometry of spaces of orthogonally additive polynomials on \(C(K)\) ⋮ Positive polynomials on Riesz spaces ⋮ On extension of multilinear operators and homogeneous polynomials in vector lattices ⋮ Complete latticeability in vector‐valued sequence spaces ⋮ Complex vector lattices via functional completions ⋮ Orthogonal additivity of monomials in positive homogeneous polynomials ⋮ Convexity conditions for the space of regular operators ⋮ On extension of positive multilinear operators ⋮ Monomial decomposition of homogeneous polynomials in vector lattices ⋮ Characterizing bounded orthogonally additive polynomials on vector lattices ⋮ Radius of analyticity of analytic functions on Banach spaces ⋮ Some aspects of multiorthomorphisms on Riesz spaces ⋮ Polynomial versions of weak Dunford-Pettis properties in Banach lattices ⋮ Regularity of continuous multilinear operators and homogeneous polynomials ⋮ The positive polynomial Schur property in Banach lattices

Cites Work

• On some properties of bilinear maps of order bounded variation
• Polynomials on Banach spaces with unconditional bases
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