Continuous K-biframes in Hilbert spaces and their tensor products
Functional Analysis
2024-03-06 v2
Abstract
A generalization of continuous biframe in a Hilbert space is introduced and a few examples are discussed. Some characterizations and algebraic properties of this biframe are given. Here we also construct various types of continuous K-biframes with the help of a bounded linear operator. Relationship between continuous K-biframe and quotient operator is established. Finally, we define continuous K-biframe for the tensor products of Hilbert spaces and give an example.
Cite
@article{arxiv.2402.04257,
title = {Continuous K-biframes in Hilbert spaces and their tensor products},
author = {Prasenjit Ghosh and T. K. Samanta},
journal= {arXiv preprint arXiv:2402.04257},
year = {2024}
}
Comments
26 pages. arXiv admin note: substantial text overlap with arXiv:2309.07247