G. Ramesh

collaborators

3 papers

math.FA2023

Representation of Compact Operators between Banach spaces

G. Ramesh, M. Veena Sangeetha, Shanola S. Sequeira

In this article, we give a representation for compact operators acting between reflexive Banach spaces, which generalizes the representation given by Edmunds et al. for compact ope…

math.FA2023

Conditions implying the normality of $*$ -paranormal operators in the closure of $A N$ -operators

G. Ramesh, Shanola S. Sequeira

In this article, we first prove the existence of an invariant subspace for a norm-attaining $*$ -paranormal operator. Then give a representation for $*$ -paranormal operators i…

math.FA2022

Representation and normality of Hyponormal operators in the closure of $A N$ -operators

G. Ramesh, Shanola S. Sequeira

Let $H_{1}$ , $H_{2}$ be complex Hilbert spaces. A bounded linear operator $T : H_{1} \to H_{2}$ is said to be norm attaining if there exists a unit vector $x \in H_{1}$ such that $\|Tx\| = \…

Representation of Compact Operators between Banach spaces

Conditions implying the normality of ∗-paranormal operators in the closure of AN-operators

Representation and normality of Hyponormal operators in the closure of AN-operators

Conditions implying the normality of $*$ -paranormal operators in the closure of $A N$ -operators

Representation and normality of Hyponormal operators in the closure of $A N$ -operators