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Weak precompactness in the space of Pettis integrable functions

✍ Scribed by G Emmanuele; K Musial


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
264 KB
Volume
148
Category
Article
ISSN
0022-247X

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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