Zeros of quadratic functionals on non-separable spaces

DOI10.4064/CM100-1-13zbMath1066.46040OpenAlexW2054868729MaRDI QIDQ4821126

Taras Banakh, Anatolij M. Plichko, Andriy V. Zagorodnyuk

Publication date: 7 October 2004

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm100-1-13

zbMATH Keywords

non-separable spacezeros of polynomials in infinite dimensions

Mathematics Subject Classification ID

(Spaces of) multilinear mappings, polynomials (46G25) Nonseparable Banach spaces (46B26)

Related Items (12)

Zeroes of real polynomials on \(C(K)\) spaces ⋮ Zeroes of polynomials on \(\ell _{\infty }\) ⋮ On some properties of a certain class of compacta ⋮ Zero-sets of complex homogeneous polynomials ⋮ The controlled separable complementation property and monolithic compacta ⋮ The controlled separable projection property for Banach spaces ⋮ On the zero-set of real polynomials in non-separable Banach spaces ⋮ A note on zeroes of real polynomials in $C(K)$ spaces ⋮ Zero subspaces of polynomials on \(\ell _1(\Gamma )\) ⋮ 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

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