Lipschitz p-Approximate Schauder Frames
Functional Analysis
2022-11-22 v1
Abstract
With the aim of representing subsets of Banach spaces as an infinite series using Lipschitz functions, we study a variant of metric frames which we call Lipschitz p-approximate Schauder frames (Lipschitz p-ASFs). We characterize Lipschitz p-ASFs and their duals completely using the canonical Schauder basis for classical sequence spaces. Similarity of Lipschitz p-ASF is introduced and characterized.
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Cite
@article{arxiv.2211.10652,
title = {Lipschitz p-Approximate Schauder Frames},
author = {K. Mahesh Krishna and P. Sam Johnson},
journal= {arXiv preprint arXiv:2211.10652},
year = {2022}
}
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11 pages