2024/12/02 by Rachid Semmami, Semmami, Rachid, H. Ezzahraoui +1
Mathematics · #Approximation Theory and Sequence Spaces
paper · pdf · doi:10.48550/arxiv.2412.01516
The purpose of this paper is to present a new class of operators known as polynomially hypo-EP operators, extending the notation of hypo-EP, n-hypo-EP, and polynomially EP. The paper explores numerous properties and characterizations of polynomially hypo-EP operators and polynomially EP operators. In addition, we characterize polynomially hypo-EP operators applying the adequate operator matrix representations. By employing these findings, we derive new characterizations of EP, hypo-EP, n-EP and n-hypo-EP.