A general Orlicz--Pettis theorem-Reference-Cited by-同舟云学术

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A general Orlicz--Pettis theorem

Published:2006-02-01 Issue:1 Volume:43 Page:47-60
ISSN:0081-6906
Container-title:Studia Scientiarum Mathematicarum Hungarica
language:
Short-container-title:

Author:

Ronglu Li¹,Yunyan Yang²,Swartz Charles³

Affiliation:

1. 1 Department of Mathematics, Harbin Institute ofTechnology Harbin, 150001, China

2. 2 Department of Mathematics, Harbin Institute ofTechnology Harbin, 150001, China

3. 3 Department of Mathematics, New Mexico State University Las Cruces, NM 88003, U.S.A.

Abstract

The key point of subseries convergence is discovered and the strongest Orlicz-Pettis-type result is established.

Publisher

Akademiai Kiado Zrt.

Subject

General Mathematics

Link

https://www.akademiai.com/doi/pdf/10.1556/sscmath.43.2006.1.3

Reference14 articles.

1. Matrix Methods in Analysis

2. On vector measures;J. Diestel;Trans. Amer. Math. Soc.,1974

3. Compactness in space of vector-valued measures and natural Mackey topology for spaces of bounded measurable functions;W. Graves;Con-temp. Math.,1980

4. A Riemann type theorem for unconditional convergence of operators;V. Kaftal;Proc. Amer. Math. Soc.,1986

5. K-convergence and the Orlicz-Pettis theorem;Li Ronglu;Publ. L'institute Math.,1991

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. A version of Orlicz–Pettis Theorem for quasi-homogeneous operator space;Journal of Mathematical Analysis and Applications;2011-01

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