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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Symmetric norm ideals and relative conjugate ideals


Author: Norberto Salinas
Journal: Trans. Amer. Math. Soc. 188 (1974), 213-240
MSC: Primary 46L15
DOI: https://doi.org/10.1090/S0002-9947-1974-0336371-3
MathSciNet review: 0336371
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Abstract: In this paper some aspects of the algebraic structure of the ring of all bounded linear operators on an infinite dimensional separable complex Hilbert space are discussed. In particular, a comparison criterion for maximal and minimal norm ideals is established. Also, a general notion of the conjugate of an ideal relative to another ideal is studied and some questions concerning joins and intersections of ideals are solved.


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DOI: https://doi.org/10.1090/S0002-9947-1974-0336371-3
Article copyright: © Copyright 1974 American Mathematical Society