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2002 A GENERAL ORLICZ-PETTIS THEOREM
Junde Wu, Shijie Lu
Taiwanese J. Math. 6(3): 433-440 (2002). DOI: 10.11650/twjm/1500558309

Abstract

In this paper, we show that the ¸ - multiplier convergent of series depends completely upon the AK - property of sequence space ¸. From this conclusion we obtain a lot of new important theorems.

Citation

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Junde Wu. Shijie Lu. "A GENERAL ORLICZ-PETTIS THEOREM." Taiwanese J. Math. 6 (3) 433 - 440, 2002. https://doi.org/10.11650/twjm/1500558309

Information

Published: 2002
First available in Project Euclid: 20 July 2017

zbMATH: 1028.46002
MathSciNet: MR1921606
Digital Object Identifier: 10.11650/twjm/1500558309

Subjects:
Primary: 46A03 , 46E40

Keywords: $\lambda$ - multiplier convergent , $AK$ - property , Locally convex space , Orlicz-Pettis theorem , sequence space

Rights: Copyright © 2002 The Mathematical Society of the Republic of China

Vol.6 • No. 3 • 2002
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