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Characterization of the duals of lattices of continuous functions with respect to disjointness preserving groups
Author(s):
Andrey
Y.
Biyanov
Journal:
Proc. Amer. Math. Soc.
125
(1997),
2571-2579.
MSC (1991):
Primary 47D03, 46B10, 46E05, 47B65
MathSciNet review:
1301489
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Abstract:
The duals of  and ![$C[a, b]$](/proc/1997-125-09/S0002-9939-97-03064-5/gif-abstract/img3.gif) with respect to disjointness preserving groups are characterized. A. Plessner's result (1929) about the translation group is extended. A Wiener-Young type theorem for disjointness preserving groups is obtained.
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- P. Meyer-Nieberg, Banach lattices, Springer-Verlag, Berlin, 1991. MR 93f:46025
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- A. Pazy, Semigroups of linear operators and applications to partial differential equations, Springer-Verlag, Berlin, 1983. MR 85g:47061
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- A. Plessner, Eine Kennzeichnung der totalstetigen Funktionen, J. Reine Angew. Math. 60 (1929), 26-32.
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Additional Information:
Andrey
Y.
Biyanov
Affiliation:
California Institute of Technology, 253-37, Caltech, Pasadena, California 91125
Address at time of publication:
155 Lexington St. \#33, Auburndale, MA 02166
Email:
abiyanov@cco.caltech.edu, biyanov@msn.com
DOI:
10.1090/S0002-9939-97-03064-5
PII:
S 0002-9939(97)03064-5
Keywords:
$C_{0}$-group,
disjointness preserving operator,
group dual,
flow,
cocycle
Received by editor(s):
September 2, 1994
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1997,
American Mathematical Society
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