The Class of Demi-Order Norm Continuous Operators

IF 1 Q3 MULTIDISCIPLINARY SCIENCES

gazi university journal of science Pub Date : 2022-09-09 DOI:10.35378/gujs.1098503

Gül Sinem Keleş, B. Altın

引用次数: 0

Abstract

In this paper, we introduce the class of demi-order norm continuous operators on a Banach lattice. We study the relationship between order-to-norm continuous operators and demi-order norm continuous operators. We also investigate some properties of the class of demi-order norm continuous operators, and it is given a characterization of a Banach lattice with order continuous by the term of the demi-order norm continuous operators.

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一类半阶范数连续算子

本文引入Banach格上的一类半阶范数连续算子。我们研究了序到范数连续算子和半序范数连续算子之间的关系。我们还研究了一类半阶范数连续算子的一些性质，并用半阶范数持续算子的项刻画了一个具有阶连续性的Banach格。

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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来源期刊

gazi university journal of science MULTIDISCIPLINARY SCIENCES-

CiteScore

1.60

自引率

11.10%

发文量

期刊介绍： The scope of the “Gazi University Journal of Science” comprises such as original research on all aspects of basic science, engineering and technology. Original research results, scientific reviews and short communication notes in various fields of science and technology are considered for publication. The publication language of the journal is English. Manuscripts previously published in another journal are not accepted. Manuscripts with a suitable balance of practice and theory are preferred. A review article is expected to give in-depth information and satisfying evaluation of a specific scientific or technologic subject, supported with an extensive list of sources. Short communication notes prepared by researchers who would like to share the first outcomes of their on-going, original research work are welcome.