Let $R$ and $S$ be two operators on a Hilbert space. We discuss the link between the subscalarity of $RS$ and $SR$. As an application, we show that backward Aluthge iterates of hyponormal operators and $p$-quasihyponormal operators are subscalar.
Keywords:
operators hilbert space discuss link between subscalarity application backward aluthge iterates hyponormal operators p quasihyponormal operators subscalar
Affiliations des auteurs :
C. Benhida
1
;
E. H. Zerouali
2
1
UFR de Mathématiques UMR-CNRS 8524 Université de Lille 1 bât. M2 59655 Villeneuve d'Ascq, France
2
Faculté des Sciences de Rabat BP 1014, Rabat, Maroc
@article{10_4064_sm195_1_1,
author = {C. Benhida and E. H. Zerouali},
title = {Backward {Aluthge} iterates of a hyponormal operator
and scalar extensions},
journal = {Studia Mathematica},
pages = {1--10},
year = {2009},
volume = {195},
number = {1},
doi = {10.4064/sm195-1-1},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/sm195-1-1/}
}
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AU - E. H. Zerouali
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and scalar extensions
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and scalar extensions
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C. Benhida; E. H. Zerouali. Backward Aluthge iterates of a hyponormal operator
and scalar extensions. Studia Mathematica, Tome 195 (2009) no. 1, pp. 1-10. doi: 10.4064/sm195-1-1
