A+ CATEGORY SCIENTIFIC UNIT

On $\lambda $-commuting operators

Volume 166 / 2005

John B. Conway, Gabriel Prǎjiturǎ Studia Mathematica 166 (2005), 1-9 MSC: Primary 47B07, 47A58. DOI: 10.4064/sm166-1-1

Abstract

For a scalar $\lambda $, two operators $T$ and $S$ are said to $\lambda $-commute if $TS=\lambda ST$. In this note we explore the pervasiveness of the operators that $\lambda $-commute with a compact operator by characterizing the closure and the interior of the set of operators with this property.

Authors

  • John B. ConwayUniversity of Tennessee
    Knoxville, TN 37996-1300, U.S.A.
    e-mail
  • Gabriel PrǎjiturǎState University of New York
    Brockport, NY 14420, U.S.A.
    e-mail

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