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- W2951675416 abstract "We introduce a new concept of frame operators for Banach spaces we call a Hilbert-Schauder frame operator. This is a hybird between standard frame theory for Hilbert spaces and Schauder frame theory for Banach spaces. Most of our results involve basic structure properties of the Hilbert-Schauder frame operator. Examples of Hilbert-Schauder frames include standard Hilbert frames and classical bases of $ell_p$ and $L^p$-spaces with $1< p le 2$. Finally, we give a new isomorphic characterization of Hilbert spaces." @default.
- W2951675416 created "2019-06-27" @default.
- W2951675416 creator A5081675173 @default.
- W2951675416 date "2012-06-26" @default.
- W2951675416 modified "2023-09-23" @default.
- W2951675416 title "Hilbert-Schauder Frame Operators" @default.
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- W2951675416 doi "https://doi.org/10.48550/arxiv.1206.6146" @default.
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