{"title":"巴拿赫空间上的近似规范加法映射","authors":"Longfa Sun, Gang Cai, Bentuo Zheng","doi":"10.1112/blms.13115","DOIUrl":null,"url":null,"abstract":"<p>Let <span></span><math>\n <semantics>\n <mrow>\n <mi>X</mi>\n <mo>,</mo>\n <mi>Y</mi>\n </mrow>\n <annotation>$X, Y$</annotation>\n </semantics></math> be two Banach spaces, <span></span><math>\n <semantics>\n <mrow>\n <mi>F</mi>\n <mo>:</mo>\n <mi>X</mi>\n <mo>→</mo>\n <mi>Y</mi>\n </mrow>\n <annotation>$F:X\\rightarrow Y$</annotation>\n </semantics></math> be an <span></span><math>\n <semantics>\n <mi>ε</mi>\n <annotation>$\\varepsilon$</annotation>\n </semantics></math>-norm-additive map for some <span></span><math>\n <semantics>\n <mrow>\n <mi>ε</mi>\n <mo>⩾</mo>\n <mn>0</mn>\n </mrow>\n <annotation>$\\varepsilon \\geqslant 0$</annotation>\n </semantics></math>, that is,\n\n </p>","PeriodicalId":55298,"journal":{"name":"Bulletin of the London Mathematical Society","volume":"56 9","pages":"2991-3010"},"PeriodicalIF":0.8000,"publicationDate":"2024-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Approximate norm-additive maps on Banach spaces\",\"authors\":\"Longfa Sun, Gang Cai, Bentuo Zheng\",\"doi\":\"10.1112/blms.13115\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>Let <span></span><math>\\n <semantics>\\n <mrow>\\n <mi>X</mi>\\n <mo>,</mo>\\n <mi>Y</mi>\\n </mrow>\\n <annotation>$X, Y$</annotation>\\n </semantics></math> be two Banach spaces, <span></span><math>\\n <semantics>\\n <mrow>\\n <mi>F</mi>\\n <mo>:</mo>\\n <mi>X</mi>\\n <mo>→</mo>\\n <mi>Y</mi>\\n </mrow>\\n <annotation>$F:X\\\\rightarrow Y$</annotation>\\n </semantics></math> be an <span></span><math>\\n <semantics>\\n <mi>ε</mi>\\n <annotation>$\\\\varepsilon$</annotation>\\n </semantics></math>-norm-additive map for some <span></span><math>\\n <semantics>\\n <mrow>\\n <mi>ε</mi>\\n <mo>⩾</mo>\\n <mn>0</mn>\\n </mrow>\\n <annotation>$\\\\varepsilon \\\\geqslant 0$</annotation>\\n </semantics></math>, that is,\\n\\n </p>\",\"PeriodicalId\":55298,\"journal\":{\"name\":\"Bulletin of the London Mathematical Society\",\"volume\":\"56 9\",\"pages\":\"2991-3010\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-07-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin of the London Mathematical Society\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://onlinelibrary.wiley.com/doi/10.1112/blms.13115\",\"RegionNum\":3,\"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":"Bulletin of the London Mathematical Society","FirstCategoryId":"100","ListUrlMain":"https://onlinelibrary.wiley.com/doi/10.1112/blms.13115","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0