Dilation theorem for p-approximate Schauder frames for separable Banach spaces
Functional Analysis
2020-11-25 v1 Operator Algebras
Abstract
Famous Naimark-Han-Larson dilation theorem for frames in Hilbert spaces states that every frame for a separable Hilbert space is image of a Riesz basis under an orthogonal projection from a separable Hilbert space which contains isometrically. In this paper, we derive dilation result for p-approximate Schauder frames for separable Banach spaces. Our result contains Naimark-Han-Larson dilation theorem as a particular case.
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Cite
@article{arxiv.2011.12188,
title = {Dilation theorem for p-approximate Schauder frames for separable Banach spaces},
author = {K. Mahesh Krishna and P. Sam Johnson},
journal= {arXiv preprint arXiv:2011.12188},
year = {2020}
}
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9 pages