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math.OA2024
Upper bounds of numerical radius and -numerical radius in -algebra setting using Orlicz functions
Saikat Mahapatra, Riddhick Birbonshi, Arnab Patra
In this paper, several significant upper bounds for the numerical radius and -numerical radius of an element in a -algebra are obtained using Orlicz functions. Ma…
math.FA2024
Joint -Numerical Ranges of Operators in Hilbert and Semi-Hilbert Spaces
Kais Feki, Arnab Patra, Jyoti Rani +1
This paper introduces and investigates the concept of the -numerical range for tuples of bounded linear operators in Hilbert spaces. We establish various inequalities concerning…