{"title":"关于局部KREISS预解条件","authors":"Abdellah Akrym, A. El Bakkali, Abdelkhalek Faouzi","doi":"10.1216/rmj.2023.53.325","DOIUrl":null,"url":null,"abstract":"In this paper, we introduce a local version of the Kreiss resolvent condition for Banach space operators and we relate it to the local growth of powers. Also, we introduce a local Yosida approximation and we establish some local results.","PeriodicalId":49591,"journal":{"name":"Rocky Mountain Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2023-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"ON THE LOCAL KREISS RESOLVENT CONDITION\",\"authors\":\"Abdellah Akrym, A. El Bakkali, Abdelkhalek Faouzi\",\"doi\":\"10.1216/rmj.2023.53.325\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we introduce a local version of the Kreiss resolvent condition for Banach space operators and we relate it to the local growth of powers. Also, we introduce a local Yosida approximation and we establish some local results.\",\"PeriodicalId\":49591,\"journal\":{\"name\":\"Rocky Mountain Journal of Mathematics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Rocky Mountain Journal of Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1216/rmj.2023.53.325\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Rocky Mountain Journal of Mathematics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1216/rmj.2023.53.325","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
In this paper, we introduce a local version of the Kreiss resolvent condition for Banach space operators and we relate it to the local growth of powers. Also, we introduce a local Yosida approximation and we establish some local results.
期刊介绍:
Rocky Mountain Journal of Mathematics publishes both research and expository articles in mathematics, and particularly invites well-written survey articles.
The Rocky Mountain Journal of Mathematics endeavors to publish significant research papers and substantial expository/survey papers in a broad range of theoretical and applied areas of mathematics. For this reason the editorial board is broadly based and submissions are accepted in most areas of mathematics.
In addition, the journal publishes specialized conference proceedings.