{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T00:51:38Z","timestamp":1760057498632,"version":"build-2065373602"},"reference-count":35,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2025,2,7]],"date-time":"2025-02-07T00:00:00Z","timestamp":1738886400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12301163","2022ZY0194","2024J01026"],"award-info":[{"award-number":["12301163","2022ZY0194","2024J01026"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Fund Project for Central Leading Local Science and Technology Development","award":["12301163","2022ZY0194","2024J01026"],"award-info":[{"award-number":["12301163","2022ZY0194","2024J01026"]}]},{"name":"Fujian Provincial Natural Science Foundation of China","award":["12301163","2022ZY0194","2024J01026"],"award-info":[{"award-number":["12301163","2022ZY0194","2024J01026"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>In this paper, we establish the stability of the almost-surjective coarse isometries of Banach spaces by means of the weak stability condition. In addition, we also discuss the existence of coarse left-inverse operators in classical Banach spaces. Making use of them, we generalize several known results related to \u03b5-isometries.<\/jats:p>","DOI":"10.3390\/axioms14020122","type":"journal-article","created":{"date-parts":[[2025,2,7]],"date-time":"2025-02-07T11:03:51Z","timestamp":1738926231000},"page":"122","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["On Stability of Non-Surjective Coarse Isometries of Banach Spaces"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0009-0003-2491-1650","authenticated-orcid":false,"given":"Yuqi","family":"Sun","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China"}]},{"given":"Wen","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Xiamen University, Xiamen 361005, China"}]}],"member":"1968","published-online":{"date-parts":[[2025,2,7]]},"reference":[{"key":"ref_1","first-page":"946","article-title":"Sur les transformations isom\u00e9triques d\u2019espaces vectoriels norm\u00e9s","volume":"194","author":"Mazur","year":"1932","journal-title":"CR Acad. 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