Ideal-triangularizability of upward directed sets of positive operators
نویسندگان
چکیده
منابع مشابه
Ideal-triangularizability of Upward Directed Sets of Positive Operators
In this paper we consider the question when an upward directed set of positive ideal-triangularizable operators on a Banach lattice is (simultaneously) ideal-triangularizable. We prove that a majorized upward directed set of ideal-triangularizable positive operators, which are compact or abstract integral operators is ideal-triangularizable. We also prove that a finite subset of an additive sem...
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15 صفحه اولTriangularizability of Operators with Increasing Spectrum
We establish finiteand infinite-dimensional versions of the following assertion. If M is a matrix with the property that whenever P and Q are diagonal projections with P ≤ Q, the spectrum of PMP (considered as an operator on the range of P ) is contained in that of QMQ (considered as an operator on the range of Q), then there is a permutation matrix U such that U−1MU is triangular.
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ژورنال
عنوان ژورنال: Annals of Functional Analysis
سال: 2011
ISSN: 2008-8752
DOI: 10.15352/afa/1399900270