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Cyclic Composition Operators on Segal-Bargmann space
G. Ramesh, B. Sudip ranjan, D. Venku Naidu
We study the hypercyclic, supercyclic and cyclic properties of composition operator on the Segal-Bargmann space , where , $A\in \mathcal{…
Weak Topologies
G. Ramesh
Lecture notes on Weak Topologies: We discuss about the weak and weak star topologies on a normed linear space. Our aim is to prove the well known Banach-Alaouglu theorem and discus…
A Representation of Hyponormal Absolutely Norm Attaining Operators
Neeru Bala, Ramesh G
In this article, we characterize absolutely norm attaining normal operators in terms of the essential spectrum. Later we prove a structure theorem for hyponormal absolutely norm at…
Weyl's theorem for commuting tuple of paranormal and -paranormal operators
Neeru Bala, G. Ramesh
In this article, we show that a commuting pair of -paranormal operators and with quasitriangular property satisfy the Weyl's theorem-I, that is $$σ_…