Polynomial characterization of \({\mathcal L}_{\infty}\)-spaces

DOI10.1016/S0022-247X(02)00461-4zbMath1031.46051MaRDI QIDQ1856957

Joaquín M. Gutiérrez, Raffaella Cilia, Maria D'Anna

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

integral polynomial\({\mathcal L}_\infty\)-space\(1\)-dominated polynomial

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Spaces of operators; tensor products; approximation properties (46B28) (Spaces of) multilinear mappings, polynomials (46G25)

Related Items (18)

Multiple summing operators on \(C(K)\) spaces ⋮ LEFT ℓ₁-FACTORABLE POLYNOMIALS ⋮ Nuclear and integral polynomials ⋮ Asplund operators and \(p\)-integral polynomials ⋮ Pietsch's factorization theorem for dominated polynomials ⋮ Inclusion and coincidence properties for Cohen strongly summing multilinear operators ⋮ Multiple summing operators on Banach spaces. ⋮ On multi-ideals and polynomial ideals of Banach spaces: a new approach to coherence and compatibility ⋮ On composition ideals of multilinear mappings and homogeneous polynomials ⋮ Factorization of \((q,p)\)-summing polynomials through Lorentz spaces ⋮ Polynomials and holomorphic functions on \(\mathcal{A}\)-compact sets in Banach spaces ⋮ ON THE REPRESENTATION OF MULTI-IDEALS BY TENSOR NORMS ⋮ Polynomials on banach spaces whose duals are isomorphic to ℓ₁ (Γ) ⋮ Polynomial characterization of the compact range property ⋮ Extension of vector-valued integral polynomials ⋮ Integral polynomials on Banach spaces not containing ℓ1 ⋮ Factorable strongly \(p\)-nuclear \(m\)-homogeneous polynomials ⋮ Two new properties of ideals of polynomials and applications

Cites Work

• Integral mappings between Banach spaces
• Characterizations of Banach spaces whose duals are \(L_ 1\) spaces
• Complementation in spaces of symmetric tensor products and polynomials
• Absolutely summing operators in $ℒ_{p}$-spaces and their applications
• Fully Nuclear and Completely Nuclear Operators with Applications to ℒ 1 - and ℒ ∞ -Spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Polynomial characterization of \({\mathcal L}_{\infty}\)-spaces