{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,25]],"date-time":"2025-06-25T14:29:44Z","timestamp":1750861784175},"reference-count":0,"publisher":"Wiley","issue":"45","license":[{"start":{"date-parts":[[2000,1,1]],"date-time":"2000-01-01T00:00:00Z","timestamp":946684800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2004,1]]},"abstract":"<jats:p>Suppose <jats:italic>A<\/jats:italic> is a Banach algebra without order. We show that an\napproximate multiplier <jats:italic>T<\/jats:italic> : <jats:italic>A<\/jats:italic> \u2192 <jats:italic>A<\/jats:italic> is an exact multiplier. We also consider an approximate multiplier <jats:italic>T<\/jats:italic> on a Banach algebra which need not be without order. If, in addition,\n<jats:italic>T<\/jats:italic> is approximately additive, then we prove the\nHyers\u2010Ulam\u2010Rassias stability of <jats:italic>T<\/jats:italic>.<\/jats:p>","DOI":"10.1155\/s0161171204402324","type":"journal-article","created":{"date-parts":[[2004,9,16]],"date-time":"2004-09-16T13:39:36Z","timestamp":1095341976000},"page":"2377-2381","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Stability of multipliers on Banach algebras"],"prefix":"10.1155","volume":"2004","author":[{"given":"Takeshi","family":"Miura","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Go","family":"Hirasawa","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sin-Ei","family":"Takahasi","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2004,9,16]]},"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2004\/808941.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1155\/S0161171204402324","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T19:55:37Z","timestamp":1723060537000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1155\/S0161171204402324"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,1]]},"references-count":0,"journal-issue":{"issue":"45","published-print":{"date-parts":[[2004,1]]}},"alternative-id":["10.1155\/S0161171204402324"],"URL":"https:\/\/doi.org\/10.1155\/s0161171204402324","archive":["Portico"],"relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2004,1]]},"assertion":[{"value":"2004-02-02","order":0,"name":"received","label":"Received","group":{"name":"publication_history","label":"Publication History"}},{"value":"2004-09-16","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}