Unconditionally converging polynomials on Banach spaces

DOI10.1017/S030500410007314XzbMath0866.46025arXivmath/9404216OpenAlexW3103982794MaRDI QIDQ4839910

González, Manuel, Joaquín M. Gutiérrez

Publication date: 24 July 1997

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9404216

zbMATH Keywords

Schur propertyDunford-Pettis propertyreflexivityoperator idealspolynomials in Banach spacesunconditionally summing operatorscontinuous \(k\)-homogeneous polynomials

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Infinite-dimensional holomorphy (46G20) Operator ideals (47L20) Reflexivity and semi-reflexivity (46A25)

Related Items (5)

The Daugavet equation for polynomials on \(\mathrm{C}^\ast\)-algebras and \(\mathrm{JB}^\ast\)-triples ⋮ Polynomials and limited sets ⋮ Polynomials on Schreier's space ⋮ \(Q\)-reflexive Banach spaces ⋮ Nonexistence of certain universal polynomials between Banach spaces

Cites Work

• Unnamed Item
• Weakly compact holomorphic mappings on Banach spaces
• Not every Banach space contains an imbedding of \(l_p\) or \(c_0\)
• Dunford-Pettis sets in the space of Bochner integrable functions
• Weakly continuous mappings on Banach spaces with the Dunford-Pettis property
• A Reflexive Space of Holomorphic Functions in Infinitely Many Variables
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)

This page was built for publication: Unconditionally converging polynomials on Banach spaces