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MATRIX ALGEBRAS WITH A CERTAIN COMPRESSION PROPERTY I

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dc.contributor.authorCramer, Zachary
dc.contributor.authorMarcoux, Laurent W.
dc.contributor.authorRadjavi, Heydar
dc.date.accessioned2022-05-10T18:52:16Z
dc.date.available2022-05-10T18:52:16Z
dc.date.issued2021-07-15
dc.descriptionThe final publication is available at Elsevier via https://doi.org/10.1016/j.laa.2021.03.005. © 2021. This manuscript version is made available under the CC-BY-NC-ND 4.0 licenseen
dc.description.abstractAn algebra A of n × n complex matrices is said to be projection compressible if P AP is an algebra for all orthogonal projections P ∈ Mn(C). Analogously, A is said to be idempotent compressible if EAE is an algebra for all idempotents E in Mn(C). In this paper we construct several examples of unital algebras that admit these properties. In addition, a complete classification of the unital idempotent compressible subalgebras of M3(C) is obtained up to similarity and transposition. It is shown that in this setting, the two notions of compressibility agree: a unital subalgebra of M3(C) is projection compressible if and only if it is idempotent compressible. Our findings are extended to algebras of arbitrary size in [2]en
dc.description.sponsorshipResearch supported in part by NSERC (Canada).en
dc.identifier.urihttps://doi.org/10.1016/j.laa.2021.03.005
dc.identifier.urihttp://hdl.handle.net/10012/18252
dc.language.isoenen
dc.publisherElsevieren
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectcompressionen
dc.subjectprojection compressibilityen
dc.subjectidempotent compressibilityen
dc.subjectalgebraic cornersen
dc.titleMATRIX ALGEBRAS WITH A CERTAIN COMPRESSION PROPERTY Ien
dc.typeArticleen
dcterms.bibliographicCitationCramer, Z., Marcoux, L. W., & Radjavi, H. (2021). Matrix algebras with a certain compression property I. Linear Algebra and Its Applications, 621, 50–85. https://doi.org/10.1016/j.laa.2021.03.005en
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Pure Mathematicsen
uws.peerReviewStatusRevieweden
uws.scholarLevelFacultyen
uws.scholarLevelGraduateen
uws.typeOfResourceTexten

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