On automatic continuity and three problems of ``The Scottish Book concerning the boundedness of polynomial functionals
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Publication:1270846
DOI10.1006/jmaa.1997.5826zbMath0919.46036OpenAlexW2071770374MaRDI QIDQ1270846
Andriy V. Zagorodnyuk, Anatolij M. Plichko
Publication date: 24 January 1999
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jmaa.1997.5826
separable metric spacepolynomial operatorinfinite-dimensional affine subspacespolynomial functionaltheorems of the closed graph type
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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 lineability of sets of continuous functions ⋮ On geometric extension of polynomials on Banach spaces ⋮ Odd degree polynomials on real Banach spaces ⋮ Dense lineability and spaceability in certain subsets of ℓ∞$\ell _{\infty }$ ⋮ Zero-sets of complex homogeneous polynomials ⋮ Zeros of real polynomials ⋮ On the zero-set of real polynomials in non-separable Banach spaces ⋮ Zeros of complex homogeneous polynomials ⋮ Lineability of summing sets of homogeneous polynomials ⋮ Zero subspaces of polynomials on \(\ell _1(\Gamma )\) ⋮ On the zero-set of 2-homogeneous polynomials in Banach spaces ⋮ On the analyticity of the Fredholm determinant ⋮ Linear subsets of nonlinear sets in topological vector spaces
Cites Work
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- Stanislaw Mazur's contributions to functional analysis
- Continuity of maps inverse to quadratic operator polynomials
- A counterexample to the closed graph theorem for bilinear maps
- The closed graph theorem for multilinear mappings
- On quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operators from \(L^{p}(\mu)\) to \(L^{r}(\nu)\)
- Images of sets satisfying the condition of Baire
- On continuity and openess of homomorphisms in topological groups
- On inversion of non-linear transformations
- An Elementary Counterexample to the Open Mapping Principle for Bilinear Maps
- Two 1935 questions of Mazur about polynomials in Banach spaces: counter-examples
- Christensen measurability of polynomial functions and convex functions of higher orders
- On sequences of operations (I)
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