Geodesic
On $\lambda $-commuting operators
John B. Conway1 ; Gabriel Prǎjiturǎ2
1 University of Tennessee Knoxville, TN 37996-1300, U.S.A.
2 State University of New York Brockport, NY 14420, U.S.A.
Studia Mathematica, Tome 166 (2005) no. 1, pp. 1-9

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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. 
@article{10_4064_sm166_1_1,
     author = {John B. Conway and Gabriel Prǎjiturǎ},
     title = {On $\lambda $-commuting operators},
     journal = {Studia Mathematica},
     pages = {1--9},
     publisher = {mathdoc},
     volume = {166},
     number = {1},
     year = {2005},
     doi = {10.4064/sm166-1-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm166-1-1/}
}
TY  - JOUR
AU  - John B. Conway
AU  - Gabriel Prǎjiturǎ
TI  - On $\lambda $-commuting operators
JO  - Studia Mathematica
PY  - 2005
SP  - 1
EP  - 9
VL  - 166
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm166-1-1/
DO  - 10.4064/sm166-1-1
LA  - en
ID  - 10_4064_sm166_1_1
ER  - 
%0 Journal Article
%A John B. Conway
%A Gabriel Prǎjiturǎ
%T On $\lambda $-commuting operators
%J Studia Mathematica
%D 2005
%P 1-9
%V 166
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/sm166-1-1/
%R 10.4064/sm166-1-1
%G en
%F 10_4064_sm166_1_1
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

Cité par Sources :