Backward Aluthge iterates of a hyponormal operator and scalar extensions

C. Benhida; E. H. Zerouali

Studia Mathematica (2009)

  • Volume: 195, Issue: 1, page 1-10
  • ISSN: 0039-3223

Abstract

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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.

How to cite

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C. Benhida, and E. H. Zerouali. "Backward Aluthge iterates of a hyponormal operator and scalar extensions." Studia Mathematica 195.1 (2009): 1-10. <http://eudml.org/doc/284654>.

@article{C2009,
abstract = {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.},
author = {C. Benhida, E. H. Zerouali},
journal = {Studia Mathematica},
keywords = {hyponormal and -hyponormal operators; subscalar operators; Bishop’s property .},
language = {eng},
number = {1},
pages = {1-10},
title = {Backward Aluthge iterates of a hyponormal operator and scalar extensions},
url = {http://eudml.org/doc/284654},
volume = {195},
year = {2009},
}

TY - JOUR
AU - C. Benhida
AU - E. H. Zerouali
TI - Backward Aluthge iterates of a hyponormal operator and scalar extensions
JO - Studia Mathematica
PY - 2009
VL - 195
IS - 1
SP - 1
EP - 10
AB - 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.
LA - eng
KW - hyponormal and -hyponormal operators; subscalar operators; Bishop’s property .
UR - http://eudml.org/doc/284654
ER -

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