Year: 2024
Author: Chander Shekhar, S. K. Kaushik
Analysis in Theory and Applications, Vol. 40 (2024), Iss. 4 : pp. 363–373
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.OA-2017-0028
Analysis in Theory and Applications, Vol. 40 (2024), Iss. 4 : pp. 363–373
Published online: 2024-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Frames operators O-frames.