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Evaluating norms of Pettis integrable functions

Published online by Cambridge University Press:  04 November 2009

M. Legua Fernández  and
L. M. Sánchez Ruiz
M. Legua Fernández
Affiliation:
CPS-Departamento de Matemática Aplicada, Universidad de Zaragoza, 50015 Zaragoza, Spain, ([email protected])
L. M. Sánchez Ruiz
Affiliation:
Instituto Universitario de Matemática Pura y Aplicada, ETSID-Departamento de Matemática Aplicada, Universidad Politécnica de Valencia, 46022 Valencia, Spain ([email protected])
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Abstract

Assuming that (Ω, Σ, μ) is a complete probability space and that X is a Banach space, we evaluate both the semivariation and the variation norm of a wide class of Pettis integrable functions f : Ω → X.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 6 , December 2009 , pp. 1255 - 1259
Copyright
Copyright © Royal Society of Edinburgh 2009

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