{"title":"一类半阶范数连续算子","authors":"Gül Sinem Keleş, B. Altın","doi":"10.35378/gujs.1098503","DOIUrl":null,"url":null,"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.","PeriodicalId":12615,"journal":{"name":"gazi university journal of science","volume":" ","pages":""},"PeriodicalIF":1.0000,"publicationDate":"2022-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Class of Demi-Order Norm Continuous Operators\",\"authors\":\"Gül Sinem Keleş, B. Altın\",\"doi\":\"10.35378/gujs.1098503\",\"DOIUrl\":null,\"url\":null,\"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.\",\"PeriodicalId\":12615,\"journal\":{\"name\":\"gazi university journal of science\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2022-09-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"gazi university journal of science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.35378/gujs.1098503\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MULTIDISCIPLINARY SCIENCES\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"gazi university journal of science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.35378/gujs.1098503","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MULTIDISCIPLINARY SCIENCES","Score":null,"Total":0}
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.
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.
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