output
20052022
most cited-Minkowski Spacetime Through Exotic "Oscillator"

48 citations

11 papers

math.FA2022

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…

math.FA2021

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…

math.FA2021★ 1 cited

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…

math.FA2021★ 1 cited

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…

math.FA2021

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…

math.FA2021★ 3 cited

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…

math.FA2021

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…

math.GM2010

Gateaux and Frechet Derivative in Intuitionistic Fuzzy Normed Linear spaces

B. Dinda, T. K. Samanta, U. K. Bera

Intuitionistic Fuzzy derivative, Intuitionistic Fuzzy Gateaux derivative, Intuitionistic Fuzzy Fréchet derivative are defined and a few of their properties are studied. The relatio…

hep-th2009★ 4 cited

The E(2) Particle

Subir Ghosh, And Probir Pal

Recently it has been advocated [1] that for describing nature within the minimal symmetry requirement, certain subgroups of Lorentz group may play a fundamental role. One such grou…

hep-th2005★ 2 cited

Lie Particle And Its Batalin-Tyutin Extension

Subir Ghosh, Probir Pal

In this Letter we have proposed a point particle model that generates a noncommutative three-space, with the coordinate brackets being Lie algebraic in nature, in particular isomor…

hep-th2005★ 48 cited

-Minkowski Spacetime Through Exotic "Oscillator"

Subir Ghosh, Probir Pal

We have proposed a generally covariant non-relativistic particle model that can represent the -Minkowski noncommutative spacetime. The idea is similar in spirit to the noncommut…