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| An ideal topology type convergent theorem on scale effect algebras | |
| 作者单位： | WU JunDe（Department of Mathematics, Zhejiang University, Hangzhou 310027, China） ; ZHOU XuanChang （City College, Zhejiang University, Hangzhou 310015, China） ; Minhyung CHO（Department of Applied Mathematics, Kumoh National Institute of Technology, Kyungbuk 730-701, Korea） ; |
| 基金项目： | 国家自然科学基金;国家高技术研究发展计划(863计划) |
| 摘 要： | The famous Antosik-Mikusinski convergent theorem on the Abel topological groups has very extensive applications in measure theory, summation theory and other analysis fields. In this paper, we establish the theorem on a class of effect algebras equipped with the ideal topology. This paper shows also that the ideal topology of effect algebras is a useful topology in studying the quantum logic the- ory. |
An ideal topology type convergent theorem on scale effect algebras |
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| Authors: | Wu JunDe Zhou XuanChang Minhyung Cho |
| Affiliation: | 1. Department of Mathematics, Zhejiang University, Hangzhou 310027, China 2. City College, Zhejiang University, Hangzhou 310015, China 3. Department of Applied Mathematics, Kumoh National Institute of Technology, Kyungbuk 730-701, Korea |
| Abstract: | The famous Antosik-Mikusinski convergent theorem on the Abel topological groups has very extensive applications in measure theory, summation theory and other analysis fields. In this paper, we establish the theorem on a class of effect algebras equipped with the ideal topology. This paper shows also that the ideal topology of effect algebras is a useful topology in studying the quantum logic the- ory. |
| Keywords: | scale effect algebras ideals topologies convergent theorem |
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