On a class of lambda-hyponormal operators

2025/08/06 by Estaremi, Y., Ghafri, M. S. Al, Shamsigamchi, and S.
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2508.04311

Abstract

In this paper we define λ-hyponormal operators on an infinite dimensional Hilbert space H and find a class of λ-hyponormal operators that can not be hypercyclic. Also, we study closedness of range and λ-hyponormality of weighted composition operators on the Hilbert space H=L²(μ). Moreover, we apply the hypercyclicity results to λ-hyponormal weighted composition operators. Finally, we provide some examples to illustrate our main results.

Citations

• Multiplication and composition operators between two Orlicz spaces

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