{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,8]],"date-time":"2026-06-08T20:55:32Z","timestamp":1780952132867,"version":"3.54.1"},"reference-count":25,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2021,5,25]],"date-time":"2021-05-25T00:00:00Z","timestamp":1621900800000},"content-version":"vor","delay-in-days":144,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11961052"],"award-info":[{"award-number":["11961052"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11761029"],"award-info":[{"award-number":["11761029"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Complexity"],"published-print":{"date-parts":[[2021,1]]},"abstract":"<jats:p>This paper introduces and studies hypo\u2010EP matrices of adjointable operators on Hilbert <jats:italic>C<\/jats:italic><jats:sup>\u2217<\/jats:sup>\u2010modules, based on the generalized Schur complement. The necessary and sufficient conditions for some modular operator matrices to be hypo\u2010EP are given, and some special circumstances are also analyzed. Furthermore, an application of the EP operator in operator equations is given.<\/jats:p>","DOI":"10.1155\/2021\/5528089","type":"journal-article","created":{"date-parts":[[2021,5,25]],"date-time":"2021-05-25T21:05:05Z","timestamp":1621976705000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Hypo\u2010EP Matrices of Adjointable Operators on Hilbert <i>C<\/i><sup>\u2217<\/sup>\u2010Modules"],"prefix":"10.1155","volume":"2021","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4586-9773","authenticated-orcid":false,"given":"Xiaopeng","family":"Li","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2084-2198","authenticated-orcid":false,"given":"Junjie","family":"Huang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alatancang","family":"Chen","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2021,5,25]]},"reference":[{"key":"e_1_2_8_1_2","first-page":"46","article-title":"On EPr and normal EPr matrices","volume":"70","author":"Katz I. 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