2 citations · 5 across the 6 of their papers we have counts for
6 papers
Spectral representation of absolutely minimum attaining unbounded normal operators
S. H. Kulkarni, G. Ramesh
Let be a densely defined closed operator with domain . We say to be absolutely minimum attaining if for every closed subspace of $H…
class elements in a Banach algebra
S. H. Kulkarni
Let be a complex unital Banach algebra with unit . An element is said to be of \textit{-class} if $$\|(z-a)^{-1}\|=\frac{1}{\text{d}(z,σ(a))} \quad \forall z…
Operators that attain the reduced minimum
S. H. Kulkarni, G. Ramesh
Let be complex Hilbert spaces and be a densely defined closed linear operator from its domain , a dense subspace of , into . Let denote the nu…
On the denseness of minimum attaining operators
S. H. Kulkarni, G. Ramesh
Let be complex Hilbert spaces and be a densely defined closed linear operator (not necessarily bounded). It is proved that for each , there exists a bounded oper…
Absolutely minimum attaining closed operators
S. H. Kulkarni, G. Ramesh
We define and discuss properties of the class of unbounded operators which attain minimum modulus. We establish a relationship between this class and the class of norm attaining bo…
Perturbation of closed range operators and Moore-Penrose inverse
S. H. Kulkarni, G. Ramesh
Let be complex Hilbert spaces and be a densely defined closed operator with domain and be the Moore-Penrose inver…