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Precompactness in the space of Pettis integrable functions

✍ Scribed by G. Emmanuele

Publisher
Akadmiai Kiad
Year
1993
Tongue
English
Weight
122 KB
Volume
62
Category
Article
ISSN
1588-2632

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In this paper we prove that for every infinite-dimensional Banach space X and every 1 p<+ there exists a strongly measurable X-valued p-Pettis integrable function on the unit circle T such that the X-valued harmonic function defined as its Poisson integral does not converge radially at any point of