Bochner PG-Frames
Functional Analysis
2014-02-14 v2
Abstract
In this paper we introduce the concept of Bochner pg-frames for Banach spaces. We characterize the Bochner pg-frames and specify the optimal bounds of a Bochner pg- frames. Then we define a Bochner qg-Riesz basis and verify the relations between Bochner pg-frames and Bochner qg-Riesz bases. Finally, we discuss the perturbation of Bochner pg-frames.
Cite
@article{arxiv.1205.2323,
title = {Bochner PG-Frames},
author = {Morteza Rahmani and Mohammad H. Faroughi},
journal= {arXiv preprint arXiv:1205.2323},
year = {2014}
}