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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Characterization of the duals
of lattices of continuous functions
with respect to disjointness preserving groups


Author: 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 $C_{0}(a, b)$ and $C[a, b]$ 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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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: http://dx.doi.org/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
Article copyright: © Copyright 1997 American Mathematical Society