3 citations
7 papers
Continuous frames in n-Hilbert spaces and their tensor products
Prasenjit Ghosh, T. K. Samanta
We introduce the notion of continuous frame in n-Hilbert space which is a generalization of discrete frame in n-Hilbert space. The tensor product of Hilbert spaces is a very import…
Controlled g-atomic subspaces for operators in Hilbert spaces
Prasenjit Ghosh, T. K. Samanta
Controlled g-atomic subspace for a bounded linear operator is being presented and a characterization has been given. We give an example of controlled K-g-fusion frame. We construct…
Fusion frame and its alternative dual in tensor product of Hilbert spaces
Prasenjit Ghosh, T. K. Samanta
We study fusion frame in tensor product of Hilbert spaces and discuss some of its properties. The resolution of the identity operator on a tensor product of Hilbert spaces is being…
Atomic systems in n-Hilbert spaces and their tensor products
Prasenjit Ghosh, T. K. Samanta
Concept of a family of local atoms in n-Hilbert space is being studied. K-frame in tensor product of n-Hilbert spaces is described and a characterization is given. Atomic system in…
Reflexivity of linear n-normed space with respect to b-linear functional
Prasenjit Ghosh, Tapas Kumar Samanta
In continuation of the paper [3], we discuss various consequences of Hahn-Banach theorem for bounded b-linear functional in linear n-normed space and describe the notion of reflexi…
Generalized fusion frame in tensor product of Hilbert spaces
Prasenjit Ghosh, Tapas Kumar Samanta
Generalized fusion frame and some of their properties in tensor product of Hilbert spaces are described. Also, the canonical dual g-fusion frame in tensor product of Hilbert spaces…