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The Riesz decomposition property for the space of regular operators
Author:
Nicolae Danet
Journal:
Proc. Amer. Math. Soc. 129 (2001), 539-542
MSC (1991):
Primary 47B60; Secondary 47B65, 46B42, 47L05
Posted:
September 20, 2000
MathSciNet review:
1707144
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Abstract: If  and  are Banach lattices such that  is separable and  has the countable interpolation property, then the space of all continuous regular operators   has the Riesz decomposition property. This result is a positive answer to a conjecture posed by A. W. Wickstead.
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A. Abramovich and A.
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Additional Information
Nicolae Danet
Affiliation:
Technical University of Civil Engineering of Bucharest, 122-124, Lacul Tei Blvd., 72302 Bucharest, Romania
Email:
ndanet@fx.ro
DOI:
http://dx.doi.org/10.1090/S0002-9939-00-05592-1
PII:
S 0002-9939(00)05592-1
Keywords:
Banach lattices,
regular operators,
Riesz decomposition property
Received by editor(s):
December 17, 1998
Received by editor(s) in revised form:
May 4, 1999
Posted:
September 20, 2000
Dedicated:
Dedicated to Prof. Romulus Cristescu on his 70th birthday
Communicated by:
David R. Larson
Article copyright:
© Copyright 2000 American Mathematical Society
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