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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
DOI: https://doi.org/10.1090/S0002-9939-1994-1219729-8
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 $.


References [Enhancements On Off] (What's this?)

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  • [3] C. E. Rickart, General theory of Banach algebras, van Nostrand, New York, 1960. MR 0115101 (22:5903)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1994-1219729-8
Keywords: Operator ideals
Article copyright: © Copyright 1994 American Mathematical Society

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