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Representation of p-Lattice Summing Operators

Published online by Cambridge University Press:  20 November 2018

Beatriz Porras Pomares
Beatriz Porras Pomares*
Affiliation:
Dto. de Matemdticas, Estadistica y Computación Facultadde Ciencias, Universidadde Cantabria 39071 Santander, Spain
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Abstract

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In this paper we study some aspects of the behaviour of p-lattice summing operators. We prove first that an operator T from a Banach space E to a Banach lattice X is p-lattice summing if and only if its bitranspose is. Using this theorem we prove a characterization for 1 -lattice summing operators defined on a C(K) space by means of the representing measure, which shows that in this case 1 -lattice and ∞-lattice summing operators coincide. We present also some results for the case 1 ≤ p < ∞ on C(K,E).

Keywords

47B3847B55
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 35 , Issue 2 , 01 June 1992 , pp. 267 - 277
Copyright
Copyright © Canadian Mathematical Society 1992 

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