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arXiv · 2402.04257

Continuous K-biframes in Hilbert spaces and their tensor products

Prasenjit Ghosh·T. K. Samanta
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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.

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Prasenjit Ghosh, T. K. Samanta. 2024-01-15. Continuous K-biframes in Hilbert spaces and their tensor products. https://arxiv.org/abs/2402.04257

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