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dc.contributor.authorPasser, Benjamin
dc.contributor.authorShalit, Orr 15:20:26 (GMT) 15:20:26 (GMT)
dc.descriptionThe final publication is available at Elsevier via © 2018. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
dc.description.abstractWe study the matrix range of a tuple of compact operators on a Hilbert space and examine the notions of minimal, nonsingular, and fully compressed tuples. In this pursuit, we refine previous results by characterizing nonsingular compact tuples in terms of matrix extreme points of the matrix range. Further, we find that a compact tuple A is fully compressed if and only if it is multiplicity-free and the Shilov ideal is trivial, which occurs if and only if A is minimal and nonsingular. Fully compressed compact tuples are therefore uniquely determined up to unitary equivalence by their matrix ranges. We also produce a proof of this fact which does not depend on the concept of nonsingularity.en
dc.description.sponsorshipIsrael Science Foundation [grant 195/16]en
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.subjectmatrix convex seten
dc.subjectmatrix rangeen
dc.subjectmatrix extreme pointen
dc.subjectoperator systemen
dc.subjectstructure of compact tuplesen
dc.titleCompressions of Compact Tuplesen
dcterms.bibliographicCitationB. Passer, O.M. Shalit, Compressions of Compact Tuples, Linear Algebra Appl. (2019),
uws.contributor.affiliation1Faculty of Mathematicsen
uws.contributor.affiliation2Pure Mathematicsen

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