7 papers · 1 filter
Lévy measures for Dirichlet-type spaces on the unit bidisc
Santu Bera, Shanola S. Sequeira
For the Dirichlet-type space on the unit bidisc where and are finite positive Borel measures on the closed unit dis…
Sum of self-commutators of commuting operators
Sameer Chavan, Md. Ramiz Reza, Shanola S. Sequeira
It is well known that every hyponormal operator on a complex Hilbert space whose spectrum has planar Lebesgue measure zero is normal. In particular, every compact hyponormal operat…
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…
Conditions implying the normality of -paranormal operators in the closure of -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…
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…
Representation and normality of Hyponormal operators in the closure of -operators
G. Ramesh, Shanola S. Sequeira
Let , be complex Hilbert spaces. A bounded linear operator is said to be norm attaining if there exists a unit vector such that $\|Tx\| = \…
On the closure of Absolutely Norm attaining Operators
G. Ramesh, Shanola S. Sequeira
Let and be complex Hilbert spaces and be a bounded linear operator. We say to be norm attaining, if there exists with su…