Linear Algebra and its ApplicationsVolume 438, Issue 1, 1 January 2013, Pages 71-79Idempotents in a space with conjugationAuthor links open overlay panelMarjan MatvejchukShow moreShareCitehttps://doi.org/10.1016/j.laa.2012.08.003Get rights and contentUnder an Elsevier user licenseopen archiveAbstractLet H be a complex Hilbert space with conjugation operator J. We study J-real operators and we have covered J-regular subspaces. We prove that for given bounded idempotent p there exists a conjugation operator J0 such that p is a J0-projection, i.e. p=J0p∗J0.Previous article in issueNext article in issueAMS classification28A6046C2046C5047A6347B50KeywordsHilbert spaceConjugationIdempotentProjectionRecommended articlesCited by (0)Copyright © 2012 Elsevier Inc. All rights reserved.