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arXiv · 2010.10514

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

K. Mahesh Krishna·P. Sam Johnson
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Abstract

We begin the study of characterizations of recently defined approximate Schauder frame (ASF) and its duals for separable Banach spaces. We show that, under some conditions, both ASF and its dual frames can be characterized for 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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K. Mahesh Krishna, P. Sam Johnson. 2020-10-20. Towards characterizations of approximate Schauder frame and its duals for Banach spaces. https://arxiv.org/abs/2010.10514

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