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Maximal nests in the Calkin algebra
Author(s):
Don
Hadwin
Journal:
Proc. Amer. Math. Soc.
126
(1998),
1109-1113.
MSC (1991):
Primary 47D25, 04A30
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Abstract:
We prove that if two countable commutative lattices of projections in the Calkin algebra are order isomorphic, then they are unitarily equivalent. We show that there are isomorphic maximal nests of projections in the Calkin algebra that are order isomorphic but not similar. Assuming the continuum hypothesis, we show that all maximal nests of projections in the Calkin algebra are order isomorphic.
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Additional Information:
Don
Hadwin
Affiliation:
Department of Mathematics, University of New Hampshire, Durham, New Hampshire 03824
Email:
don@math.unh.edu
DOI:
10.1090/S0002-9939-98-04233-6
PII:
S 0002-9939(98)04233-6
Received by editor(s):
September 23, 1996
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1998,
American Mathematical Society
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