Geodesic
On $\lambda $-commuting operators
John B. Conway1 ; Gabriel Prǎjiturǎ2
1University of Tennessee Knoxville, TN 37996-1300, U.S.A.
2State University of New York Brockport, NY 14420, U.S.A.
Studia Mathematica, Tome 166 (2005) no. 1, pp. 1-9
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm166-1-1
Keywords: scalar lambda operators said lambda commute lambda note explore pervasiveness operators lambda commute compact operator characterizing closure interior set operators property

John B. Conway  1   ; Gabriel Prǎjiturǎ  2

1 University of Tennessee Knoxville, TN 37996-1300, U.S.A.
2 State University of New York Brockport, NY 14420, U.S.A. 
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John B. Conway; Gabriel Prǎjiturǎ. On $\lambda $-commuting operators. Studia Mathematica, Tome 166 (2005) no. 1, pp. 1-9. doi: 10.4064/sm166-1-1

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