Vijaya Kumar U

collaborators

3 papers

math.CO2025

Vertex energy distributions in regular graph structures

H. M. Nagesh, U. Vijaya Chandra Kumar, N. Narahari

The energy of a vertex $v_{i}$ in a graph $G$ is defined as $E_{G} (v_{i}) = ∣ A ∣_{ii}$ , where $A$ is the adjacency matrix of $G$ , $A^{*}$ denotes the conjugate transpose of $A$ , a…

math.FA2024

On pure contractive semigroups

Shubham Rastogi, Vijaya Kumar U

We find the commutant of a pure contractive semigroup on a Hilbert space. We demonstrate that any tuple of doubly commuting pure contractive semigroups can be dilated to a tuple of…

math.FA2024

Functions with image in a strip

Tirthankar Bhattacharyya, Anthony G. O'Farrell, Shubham Rastogi +1

We consider holomorphic functions on the unit disc whose images are contained in a strip of the complex plane. Under an additional condition, such functions are constants. We also…