On the inverse–closedness of matrix subalgebras

Nahum Krupnik

Research output: Contribution to journalArticlepeer-review

Abstract

In this short article we construct a counterexample, which gives a negative answer to an old question, formulated in several publications, on inverse-closedness of matrix subalgebras. We also present and prove several related results.

Original languageEnglish
Pages (from-to)1175-1180
Number of pages6
JournalOperators and Matrices
Volume8
Issue number4
DOIs
StatePublished - 1 Dec 2014

Bibliographical note

Publisher Copyright:
© 2014, Element D.O.O. All rights reserved.

Funding

2 IRAF is distributed by the National Optical Astronomy Observatory, which is operated by the Association of Universities for Research in Astronomy, Inc., under cooperative agreement with the National Science Foundation. We thank Vasant Kulkarni, John McFarland, and Dick Miller for discussions, Dan Harris and Alan Marscher for correspondence, and the anonymous referee for helpful suggestions. P. J. W. is grateful for support from RPE funds at Georgia State University and for continuing hospitality at the Department of Astrophysical Sciences at Princeton.

FundersFunder number
National Science Foundation
Georgia State University

    Keywords

    • Banach algebras
    • Inverse-closed subalgebras of banach algebras

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