On the zero-set of real polynomials in non-separable Banach spaces

DOI10.2977/prims/1201012038zbMath1145.47045OpenAlexW2040867584MaRDI QIDQ2475480

Yanyan Li

Publication date: 11 March 2008

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1201012038

zbMATH Keywords

weakly continuous polynomialszero-set

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Nonseparable Banach spaces (46B26) Multilinear and polynomial operators (47H60)

Related Items

Similarities and differences between real and complex Banach spaces: an overview and recent developments ⋮ Zeroes of real polynomials on \(C(K)\) spaces ⋮ Zeroes of polynomials on \(\ell _{\infty }\) ⋮ On some properties of a certain class of compacta ⋮ A note on zeroes of real polynomials in $C(K)$ spaces ⋮ On the zero-set of 2-homogeneous polynomials in Banach spaces ⋮ On the controlled separable projection property for some \(C(K)\) spaces ⋮ Linear subsets of nonlinear sets in topological vector spaces

Cites Work

• On automatic continuity and three problems of ``The Scottish Book concerning the boundedness of polynomial functionals
• Zeros of polynomials on Banach spaces: The real story
• On quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operators from \(L^{p}(\mu)\) to \(L^{r}(\nu)\)
• Zeros of real polynomials
• Zeros of quadratic functionals on non-separable spaces
• Weak-Star Continuous Analytic Functions
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