S. S. Sequeira

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20222026

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3 papers · 1 filter

math.FA2022

Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators

G. Ramesh, Shanola S. Sequeira

In this article, we completely characterize absolutely norm attaining Hankel operators and absolutely minimum attaining Toeplitz operators. We also improve \cite[Theorem 2.1]{RGSSS…

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\| = \…

math.FA2022

On the closure of Absolutely Norm attaining Operators

G. Ramesh, Shanola S. Sequeira

Let $H_{1}$ and $H_{2}$ be complex Hilbert spaces and $T : H_{1} \to H_{2}$ be a bounded linear operator. We say $T$ to be norm attaining, if there exists $x \in H_{1}$ with $∥ x ∥ = 1$ su…

Absolutely minimum attaining Toeplitz and absolutely norm attaining Hankel operators

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

On the closure of Absolutely Norm attaining Operators

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