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Article
Quantitative Characterizations of Bounded Compact Approximation Property by Semi-Fredholm Operators
Based on a characterization of upper semi-Fredholm operators due to A. Lebow and M. Schechter, we introduce and investigate a new quantity characterizing upper semi-Fredholm operators. This quantity and severa...
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Article
The approximation properties determined by operator ideals
We introduce the notion of the right approximation property with respect to an operator ideal A and solve the duality problem for the approximation property with respect to an operator ideal A, that is, a Banach ...
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Article
Perturbations of frames
In this paper, we give some sufficient conditions under which perturbations preserve Hilbert frames and near-Riesz bases. Similar results are also extended to frame sequences, Riesz sequences and Schauder fram...
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Article
Three-space problems for the bounded compact approximation property
In this paper, the notion of the bounded compact approximation property (BCAP) of a pair [Banach space and its subspace] is used to prove that if X is a closed subspace of L ∞ with the BCAP, then