{"title":"论巴拿赫空间的 p-Dunford-Pettis 相对紧凑特性","authors":"I. Ghenciu","doi":"10.1007/s10476-024-00027-8","DOIUrl":null,"url":null,"abstract":"<div><p>The <i>p</i>-Dunford–Pettis relatively compact property (<span>\\(1\\le p<\\infty\\)</span>)\nis studied in individual Banach spaces and in spaces of operators. The question\nof whether a space of operators has the <i>p</i>-Dunford–Pettis relatively compact\nproperty is studied using Dunford–Pettis <i>p</i>-convergent evaluation operators.</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":null,"pages":null},"PeriodicalIF":0.6000,"publicationDate":"2024-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On the p-Dunford–Pettis relatively compact property of Banach spaces\",\"authors\":\"I. Ghenciu\",\"doi\":\"10.1007/s10476-024-00027-8\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>The <i>p</i>-Dunford–Pettis relatively compact property (<span>\\\\(1\\\\le p<\\\\infty\\\\)</span>)\\nis studied in individual Banach spaces and in spaces of operators. The question\\nof whether a space of operators has the <i>p</i>-Dunford–Pettis relatively compact\\nproperty is studied using Dunford–Pettis <i>p</i>-convergent evaluation operators.</p></div>\",\"PeriodicalId\":55518,\"journal\":{\"name\":\"Analysis Mathematica\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.6000,\"publicationDate\":\"2024-05-29\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analysis Mathematica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10476-024-00027-8\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis Mathematica","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10476-024-00027-8","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
On the p-Dunford–Pettis relatively compact property of Banach spaces
The p-Dunford–Pettis relatively compact property (\(1\le p<\infty\))
is studied in individual Banach spaces and in spaces of operators. The question
of whether a space of operators has the p-Dunford–Pettis relatively compact
property is studied using Dunford–Pettis p-convergent evaluation operators.
期刊介绍：
Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx).
The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx).
The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.
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