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Remarks on a measure of weak noncompactness in the Lebesgue space

Published online by Cambridge University Press:  17 April 2009

Józef Bana´  and
Kishin Sadarangani
Józef Bana´
Affiliation:
Department of Mathematics, Technical University of Rzesz´ow, 35-959 Rzeszów, W. Pola 2, Poland
Kishin Sadarangani
Affiliation:
Department of Mathematical Analysis, University of La Laguna, 38271 La Laguna (Tenerife), Spain
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Abstract

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Using the concept of equi-integrability we introduce a measure of weak noncompactness in the Lebesgue space L1(0, l). We show that this measure is equal to the classical De Blasi measure of weak noncompactness.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 52 , Issue 2 , October 1995 , pp. 279 - 286
Copyright
Copyright © Australian Mathematical Society 1995

References

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