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Sur les algèbres  -régulières et la  -décomposabilité des opérateurs de multiplication
Author(s):
A.
Daoui;
H.
Mahzouli;
E.
H.
Zerouali
Journal:
Proc. Amer. Math. Soc.
131
(2003),
3211-3220.
MSC (2000):
Primary 47B40, 47B48;
Secondary 47A11
Posted:
February 6, 2003
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Abstract:
Let  be a commutative Banach algebra and  its maximal ideal space. For given  , we establish necessary and sufficient conditions so that  becomes  -regular. We derive some characterizations of decomposable multiplication operators and a description of the Apostol algebra of  . This provides a class of algebras(including Douglas algebras) for which the Apostol algebra is regular.
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Additional Information:
A.
Daoui
Affiliation:
Faculté des Sciences de Rabat, Département de Mathematiques et Informatique, BP 1014 Agdal, Rabat, Morocco
Email:
daoui@fsr.ac.ma
H.
Mahzouli
Affiliation:
Faculté des Sciences de Rabat, Département de Mathematiques et Informatique, BP 1014 Agdal, Rabat, Morocco
Email:
houssame.mahzouli@caramail.com
E.
H.
Zerouali
Affiliation:
Faculté des Sciences de Rabat, Département de Mathematiques et Informatique, BP 1014 Agdal, Rabat, Morocco
Email:
zerouali@fsr.ac.ma
DOI:
10.1090/S0002-9939-03-06904-1
PII:
S 0002-9939(03)06904-1
Received by editor(s):
June 29, 2000
Received by editor(s) in revised form:
May 19, 2002
Posted:
February 6, 2003
Communicated by:
David R. Larson
Copyright of article:
Copyright
2003,
American Mathematical Society
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