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Schur property and lP isomorphic copies in Musielak–Orlicz sequence spaces

Published online by Cambridge University Press:  17 April 2009

B. Zlatanov
B. Zlatanov
Affiliation:
Department of Mathematics and Informatics, Plovdiv University, 24 “Tzar Assen” str, Plovdiv, 4000, Bulgaria
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The author shows that if the dual of a Musielak–Orlicz sequence space lΦ is a stabilized asymptotic l∞, space with respect to the unit vector basis, then lΦ is saturated with complemented copies of l1 and has the Schur property. A sufficient condition is found for the isomorphic embedding of lp spaces into Musielak–Orlicz sequence spaces.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 75 , Issue 2 , April 2007 , pp. 193 - 210
Copyright
Copyright © Australian Mathematical Society 2007

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