{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,12]],"date-time":"2026-03-12T19:25:30Z","timestamp":1773343530102,"version":"3.50.1"},"reference-count":0,"publisher":"National Library of Serbia","issue":"9","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/publicdomain\/zero\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Filomat"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>This article concerns the pseudo Drazin inverse of the sums (resp.\n   differences) and the products of elements in a Banach algebra A. Some\n   equivalent conditions for the existence of the pseudo Drazin inverse of a + b\n   (resp. a - b) are characterized. Moreover, the representations for the pseudo\n   Drazin inverse are given. Some related known results are generalized.<\/jats:p>","DOI":"10.2298\/fil1409773z","type":"journal-article","created":{"date-parts":[[2015,4,9]],"date-time":"2015-04-09T14:08:36Z","timestamp":1428588516000},"page":"1773-1781","source":"Crossref","is-referenced-by-count":3,"title":["Additive property of pseudo Drazin inverse of elements in Banach algebras"],"prefix":"10.2298","volume":"28","author":[{"given":"Huihui","family":"Zhu","sequence":"first","affiliation":[{"name":"Southeast University, Department of Mathematics, Nanjing, China + Universidade do Minho, CMAT-Centro de Matem\u00e1tica, Braga, Portugal"}]},{"given":"Jianlong","family":"Chen","sequence":"additional","affiliation":[{"name":"Southeast University, Department of Mathematics, Nanjing, China"}]}],"member":"1078","container-title":["Filomat"],"original-title":[],"language":"en","deposited":{"date-parts":[[2023,5,29]],"date-time":"2023-05-29T08:27:14Z","timestamp":1685348834000},"score":1,"resource":{"primary":{"URL":"https:\/\/doiserbia.nb.rs\/Article.aspx?ID=0354-51801409773Z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":0,"journal-issue":{"issue":"9","published-print":{"date-parts":[[2014]]}},"URL":"https:\/\/doi.org\/10.2298\/fil1409773z","relation":{},"ISSN":["0354-5180","2406-0933"],"issn-type":[{"value":"0354-5180","type":"print"},{"value":"2406-0933","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014]]}}}