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

 

Ideals of operators strictly singular on subspaces


Author: Michael J. Meyer
Journal: Proc. Amer. Math. Soc. 122 (1994), 1121-1123
MSC: Primary 47D50; Secondary 46H10, 47B99
MathSciNet review: 1219729
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Abstract: For each set $ \Omega $ of cardinality at most $ {2^\omega }$, we give an easy construction of Banach spaces X, such that the algebra $ \mathcal{B}(X)$ of all bounded linear operators on X contains a lattice of closed ideals, which is order isomorphic with respect to inclusion to the full power set of $ \Omega $.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1994-1219729-8
PII: S 0002-9939(1994)1219729-8
Keywords: Operator ideals
Article copyright: © Copyright 1994 American Mathematical Society