Polynomial compactness in Banach spaces

DOI10.1216/rmjm/1181071712zbMath0946.46040OpenAlexW1971496415MaRDI QIDQ1293526

Peter Biström, Mikael Lindström, Jesús Angel Jaramillo

Publication date: 12 July 2000

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL28-4/CONT28-4/CONT28-4.html

zbMATH Keywords

Dunford-Pettis propertypolynomial compactnessnonlinear topology

Mathematics Subject Classification ID

Banach algebras of continuous functions, function algebras (46J10) (Spaces of) multilinear mappings, polynomials (46G25) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Rings and algebras of continuous, differentiable or analytic functions (46E25)

Related Items (5)

Polynomial topologies on Banach spaces ⋮ Polynomial sequential continuity on \(C(K,E)\) spaces ⋮ Polynomials on Schreier's space ⋮ Weak-polynomial convergence on spaces \(\ell_{p}\) and \(L_{p}\) ⋮ Spectra of algebras of entire functions on Banach spaces

Cites Work

• \(M\)-ideals in Banach spaces and Banach algebras
• Weakly compact holomorphic mappings on Banach spaces
• Weakly compact sets. Lectures held at S.U.N.Y., Buffalo, in spring 1978
• Complex homomorphisms of the algebras of holomorphic functions on Frechet spaces
• Operators on continuous function spaces and convergence in the spaces of operators
• Bounding subsets of \(\ell^\infty (A)\)
• Polynomial reflexivity in Banach spaces
• Weakly \(p\)-compact, \(p\)-Banach-Saks, and super-reflexive Banach spaces
• On quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operators from \(L^{p}(\mu)\) to \(L^{r}(\nu)\)
• SEPARATING POLYNOMIALS ON BANACH SPACES
• A Reflexive Space of Holomorphic Functions in Infinitely Many Variables
• A Uniform Algebra of Analytic Functions on a Banach Space
• Homomorphisms on Function Algebras
• Gantmacher Type Theorems for Holomorphic Mappings
• Algebras of real analytic functions: Homomorphisms and bounding sets
• Estimates by polynomials
• Weak-Polynomial Convergence on a Banach Space
• Holomorphy types on a Banach spaces
• Super-reflexive spaces with bases
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