Towards characterizations of approximate Schauder frame and its duals for Banach spaces

Towards characterizations of approximate Schauder frame and its duals for Banach spaces

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 resul...

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Veröffentlicht in:Journal of pseudo-differential operators and applications 2021-03, Vol.12 (1), Article 9
Hauptverfasser: Krishna, K. Mahesh, Johnson, P. Sam
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Banach spaces
Functional Analysis
Hilbert space
Mathematics
Mathematics and Statistics
Operator Theory
Orthogonality
Partial Differential Equations
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description 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.
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subjects Algebra
Analysis
Applications of Mathematics
Banach spaces
Functional Analysis
Hilbert space
Mathematics
Mathematics and Statistics
Operator Theory
Orthogonality
Partial Differential Equations
title Towards characterizations of approximate Schauder frame and its duals for Banach spaces
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