Cotype and Nonlinear Absolutely Summing Mappings

Daniel Pellegrino

Type: Article

Publication Date: 2005-01-01

Citations: 14

DOI: https://doi.org/10.3318/pria.2005.105.1.75

Abstract

In this paper we study absolutely summing mappings on Banach spaces by exploring the cotype of their domains and ranges. We give new examples of absolutely summing analytic mappings and polynomial/multilinear versions of linear coincidence theorems.

Locations

Mathematical Proceedings of the Royal Irish Academy - View
arXiv (Cornell University) - View - PDF

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Works Cited by This (13)

Action	Title	Year	Authors
+	Operadores multilineales absolutamente sumantes	2004	David Barros‐García
+ PDF Chat	Absolutely summing operators in $ℒ_{p}$-spaces and their applications	1968	Joram Lindenstrauss A. Pełczyński
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+	Multiple summing operators on Banach spaces	2003	David Pérez-Garcı́a Ignacio Villanueva
+ PDF Chat	A Dvoretsky theorem for polynomials	1995	Seán Dineen
+	Complex Analysis on Infinite Dimensional Spaces	1999	Seán Dineen
+ PDF Chat	Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach	1976	B. Maurey Gilles Pisier
+	Cotype and (q, 1)-summing norm in a Banach space	1992	Michel Talagrand
+	Aplicações entre espaços de Banach relacionadas a convergencia de series	2002	Daniel Pellegrino Mário C. Matos
+	Aplicações multilineares completamente absolutamente somantes	2003	Marcela Luciano Vilela de Souza