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Orlicz–Pettis Theorem for λ-multiplier convergent operator series

Published online by Cambridge University Press:  17 April 2009

Tao Yuanhong  and
Li Ronglu
Tao Yuanhong
Affiliation:
Department of Mathematics, Qingdao University of Science and Technology, Qingdao 266061, Peoples Republic of China
Li Ronglu
Affiliation:
Department of Mathematics, Harbin Institute of Technology, Harbin 150006, Peoples Republic of China
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We show that the λ-multiplier convergence of operator series depends completely upon the AK property of the sequence space λ, and thus present a lot of new important theorems.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 75 , Issue 2 , April 2007 , pp. 247 - 252
Copyright
Copyright © Australian Mathematical Society 2007

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