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Dilation theorem for p-approximate Schauder frames for separable Banach spaces
- Publication Year :
- 2020
-
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.<br />Comment: 9 pages
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2011.12188
- Document Type :
- Working Paper