Towards characterizations of approximate Schauder frame and its duals for Banach spaces
KM Krishna, PS Johnson - Journal of Pseudo-Differential Operators and …, 2021 - Springer
KM Krishna, PS Johnson
Journal of Pseudo-Differential Operators and Applications, 2021•SpringerCharacterizations for a frame and its duals are known for separable Hilbert spaces. In this
paper, we characterize a class of approximate Schauder frame and its duals for separable
Banach spaces. We also give an operator-theoretic characterization for similarity of ASFs.
Our results encode the results of Holub, Li, Balan, Han, and Larson. We also address
orthogonality of ASFs.
paper, we characterize a class of approximate Schauder frame and its duals for separable
Banach spaces. We also give an operator-theoretic characterization for similarity of ASFs.
Our results encode the results of Holub, Li, Balan, Han, and Larson. We also address
orthogonality of ASFs.
Abstract
Characterizations for a frame and its duals are known for separable Hilbert spaces. In this paper, we characterize a class of approximate Schauder frame and its duals for separable Banach spaces. We also give an operator-theoretic characterization for similarity of ASFs. Our results encode the results of Holub, Li, Balan, Han, and Larson. We also address orthogonality of ASFs.
Springer
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