Differentiability of L-p of a vector measure and applications to the Bishop-Phelps-Bollobas property

[EN] We study the properties of Gâteaux, Fréchet, uniformly Fréchet and uniformly Gâteaux smoothness of the space Lp(m) of scalar p-integrable functions with respect to a positive vector measure m with values in a Banach lattice. Applications in the setting of the Bishop-Phelps-Bollobás property (bo...

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Bibliographic Details
Authors: Agud Albesa, Lucia|||0000-0002-1222-7988, Calabuig, J. M.|||0000-0001-8398-8664, Sánchez Pérez, Enrique Alfonso|||0000-0001-8854-3154, Lajara, Sebastian
Format: article
Publication Date:2017
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/149919
Online Access:https://riunet.upv.es/handle/10251/149919
Access Level:Open access
Keyword:L-p of a vector measure
Banach function space
Gâteaux and Féchet uniformly smooth norm
Bishop-Phelps-Bollobás property
MATEMATICA APLICADA
Description
Summary:[EN] We study the properties of Gâteaux, Fréchet, uniformly Fréchet and uniformly Gâteaux smoothness of the space Lp(m) of scalar p-integrable functions with respect to a positive vector measure m with values in a Banach lattice. Applications in the setting of the Bishop-Phelps-Bollobás property (both for operators and bilinear forms) are also given.

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