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Multipliers of weighted spaces and reflexivity property
Author(s):
Xavier
Dussau
Journal:
Proc. Amer. Math. Soc.
133
(2005),
1379-1386.
MSC (2000):
Primary 47A15, 43A22;
Secondary 46E25, 20C20
Posted:
October 18, 2004
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Additional information
Abstract:
We prove for some translation-invariant weighted spaces  the following characterization:  is a multiplier of  if and only if  leaves invariant every translation-invariant subspace of  . This result is equivalent with the reflexivity of the multiplier algebra of  .
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Additional Information:
Xavier
Dussau
Affiliation:
Laboratoire de Mathématiques Pures, Université Bordeaux I, 351, cours de la libération, 33405 Talence Cedex, France
Email:
dussau@math.u-bordeaux.fr
DOI:
10.1090/S0002-9939-04-07640-3
PII:
S 0002-9939(04)07640-3
Keywords:
Multiplier,
translation invariant subspace,
reflexivity
Received by editor(s):
October 15, 2003
Received by editor(s) in revised form:
January 2, 2004
Posted:
October 18, 2004
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2004,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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