@Article{ATA-40-363,
author = {Shekhar , Chander and Kaushik , S. K.},
title = {Toeplitz $O$-Frames for Operators in Banach Spaces},
journal = {Analysis in Theory and Applications},
year = {2025},
volume = {40},
number = {4},
pages = {363--373},
abstract = {<p style="text-align: justify;">We define Toeplitz $O$-frame for operators as a generalization of the notion
of $O$-frame introduced by Reinov [11]. A necessary condition for the existence of
a Toeplitz $O$-frame is given. It has been proved that an $O$-frame for operators can
generate a Toeplitz $O$-frame from a given Toeplitz matrix but the converse need not be
true. Also, a sufficient condition on infinite matrices for the existence of an $O$-frame is
given. Finally, the notion of a strong $O$-frame is defined and a necessary and sufficient
condition for its existence has been obtained.</p>},
issn = {1573-8175},
doi = {https://doi.org/10.4208/ata.OA-2017-0028},
url = {http://global-sci.org/intro/article_detail/ata/23859.html}
}