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arXiv · 2011.12188

Dilation theorem for p-approximate Schauder frames for separable Banach spaces

K. Mahesh Krishna·P. Sam Johnson
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Abstract

Famous Naimark-Han-Larson dilation theorem for frames in Hilbert spaces states that every frame for a separable Hilbert space $\mathcal{H}$ is image of a Riesz basis under an orthogonal projection from a separable Hilbert space $\mathcal{H}_1$ which contains $\mathcal{H}$ 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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K. Mahesh Krishna, P. Sam Johnson. 2020-11-23. Dilation theorem for p-approximate Schauder frames for separable Banach spaces. https://arxiv.org/abs/2011.12188

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