pn空间中的强紧算子

IF 0.3 Q4 MATHEMATICS

Transactions of A Razmadze Mathematical Institute Pub Date : 2018-12-01 DOI:10.1016/j.trmi.2018.06.001

Delavar Varasteh Tafti, Mahdi Azhini

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引用次数: 0

摘要

本文首先在pn空间中引入了强紧算子，并证明了它们的一些性质。然后证明了SPN空间中的Ascoli-Arzela定理。此外，还给出了SPN空间中的Schauder定理和强Banach闭域定理等已知结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Strong compact operators in PN-spaces

In this paper, we first introduce strong compact operators in PN-spaces and then we prove some of their properties. After that we prove the Ascoli–Arzela’s theorem in SPN spaces. In addition some of its known consequences such as Schauder’s theorem and strong Banach closed rang theorem in SPN spaces are presented.

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来源期刊

Transactions of A Razmadze Mathematical Institute MATHEMATICS-

CiteScore

0.50

自引率

50.00%

发文量

审稿时长

22 weeks