Maximal nests in the Calkin algebra

Author:
Don Hadwin

Journal:
Proc. Amer. Math. Soc. **126** (1998), 1109-1113

MSC (1991):
Primary 47D25, 04A30

DOI:
https://doi.org/10.1090/S0002-9939-98-04233-6

MathSciNet review:
1443829

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Abstract | References | Similar Articles | Additional Information

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:
https://doi.org/10.1090/S0002-9939-98-04233-6

Received by editor(s):
September 23, 1996

Communicated by:
Palle E. T. Jorgensen

Article copyright:
© Copyright 1998
American Mathematical Society