12 citations · 40 across the 31 of their papers we have counts for
17 papers · 1 filter
Weaving continuous controlled K-g-fusion frames in Hilbert spaces
Prasenjit Ghosh, T. K. Samanta
We introduce the notion of weaving continuous controlled K-g-fusion frame in Hilbert space. Some characterizations of weaving continuous controlled K-g-fusion frame have been prese…
Continuous controlled generalized fusion frames in Hilbert spaces
Prasenjit Ghosh, T. K. Samanta
We introduce the notion of continuous controlled g-fusion frame in Hilbert space which is the generalization of discrete controlled g-fusion frame and give an example. Some charact…
Controlled frames in n-Hilbert spaces and their tensor products
Prasenjit Ghosh, T. K. Samanta
The concepts of controlled frames and it's dual in n-Hilbert spaces and their tensor products have been introduced and then some of their characterizations are given. We further st…
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…
Introduction of retro Banach frame with respect to b-linear functional in n-Banach space
Prasenjit Ghosh, T. K. Samanta
The notion of retro Banach frame with the help of b-linear functional in n-Banach spaces is being presented. Some properties related to the construction of new retro Banach frame i…
p-frame relative to b-linear functional in n-Banach space
Prasenjit Ghosh, T. K. Samanta
Concept of p-frame with the help of b-linear functional in the case of n-Banach space is being presented and its few properties, one of them, Cartesian product of two p-frames agai…
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…
Stability of dual g-fusion frames in Hilbert spaces
Prasenjit Ghosh, T. K. Samanta
We give a characterization of K-g-fusion frames and discuss the stability of dual g-fusion frames. We also present a necessary and sufficient condition for a quotient operator to b…
Some properties of K-frame in n-Hilbert space
Prasenjit Ghosh, Tapas Kumar Samanta
The notion of a K-frame in n-Hilbert space is presented and some of their characterizations are given. We verify that sum of two K-frames is also a K-frame in n-Hilbert space. Also…
Generalized atomic subspaces for operators in Hilbert spaces
Prasenjit Ghosh, T. K. Samanta
We introduce the notion of a g-atomic subspace for a bounded linear operator and construct several useful resolutions of the identity operator on a Hilbert space using the theory o…
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…
Representation of Uniform Boundedness Principle and Hahn-Banach Theorem in linear n-normed space
Prasenjit Ghosh, T. K. Samanta
The concept of b-linear functional and its different types of continuity in linear n-normed space are presented and some of their properties are being established. We derive the Un…
Construction of frame relative to n-Hilbert space
Prasenjit Ghosh, T. K. Samanta
In this paper, our aim is to introduce the concept of a frame in n-Hilbert space and describe some of their properties. We further discuss tight frame relative to n-Hilbert space.…
Uniform Boundedness Principle and Hahn-Banach Theorem for b-linear functional related to linear 2-normed space
Prasenjit Ghosh, Sanjay Roy, T. K. Samanta
In this paper, we will see that the Cartesian product of two 2-Banach spaces is also 2-Banach space and discuss some properties of closed linear operator in linear 2-normed space.…
Introduction of frame in tensor product of n-Hilbert spaces
Prasenjit Ghosh, Tapas Kumar Samanta
We study the concept of frame in tensor product of n-Hilbert spaces as tensor product of n-Hilbert spaces is again a n-Hilbert space. We generalize some of the known results about…