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Showing 3 results for Frame
Hadi Ghasemi, Tayebe Lal Shateri,
Volume 4, Issue 1 (6-2023)
Abstract
The paper is devoted to continuous frames and continuous Riesz basis in Hilbert C*-modules. We define a continuous Riesz basis in Hilbert C*-modules and investigate the relationship between a continuous Riesz basis and an L^2-independent Bessel mapping. Also, we show that a continuous frame is a continuous Riesz basis if and only if it is a Riesz-type frame. Finally, we give the relation between two continuous Riesz bases in Hilbert C*-modules.
Dr Morteza Mirzaee Azandaryani, Dr Mahmood Pourgholamhossein,
Volume 4, Issue 2 (12-2023)
Abstract
In this paper, we get some results about $alpha$-duals of g-frames and fusion frames
in Hilbert spaces. Especially, the direct sums and tensor products for $alpha$-duals of g-frames and fusion
frames are considered and some of the obtained results for duals are generalized to $alpha$-duals.
Prasenjit Ghosh, Tapas Samanta,
Volume 4, Issue 2 (12-2023)
Abstract
The notion of a K-frame in n-Hilbert space is presented and some of their characterizations are given. We establish stability condition of K-frame in n-Hilbert space under some perturbations. We verify that sum of two K-frames is also a K-frame in n-Hilbert space. Also, the concept of tight K-frame in n-Hilbert space is described and some properties of its are going to be established.
