The Lidskii trace property and the nest approximation property in Banach spaces
نویسندگان
چکیده
منابع مشابه
The Lidskii Trace Property and the Nest Approximation Property in Banach Spaces
For a Banach space X, the Lidskii trace property is equivalent to the nest approximation property; that is, for every nuclear operator on X that has summable eigenvalues, the trace of the operator is equal to the sum of the eigenvalues if and only if for every nest N of closed subspaces of X, there is a net of finite rank operators on X, each of which leaves invariant all subspaces in N , that ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2016
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2016.04.010