14 citations · 21 across the 5 of their papers we have counts for
5 papers
A note on convexity of sections of quaternionic numerical range
P. Santhosh Kumar
The quaternionic numerical range of matrices over the ring of quaternions is not necessarily convex. We prove Toeplitz-Hausdorff like theorem, that is, for any given quaternionic m…
Continuous Functional Calculus for Quaternionic Bounded Normal Operators
G. Ramesh, P. Santhosh Kumar
In this article we give an approach to define continuous functional calculus for bounded quaternionic normal operators defined on a right quaternionic Hilbert space.
Spectral Theorem for quaternionic normal operators: Multiplication form
G. Ramesh, P. Santhosh Kumar
Let be a right quaternionic Hilbert space and let be a quaternionic normal operator with the domain . Then for a fixed unit im…
On the polar decomposition of right linear operators in quaternionic Hilbert spaces
G. Ramesh, P. Santhosh Kumar
In this article we prove the existence of the polar decomposition for densely defined closed right linear operators in quaternionic Hilbert spaces: If is a densely defined clos…
Spectral theorem for unbounded normal operators in quaternionic Hilbert spaces
G. Ramesh, P. Santhosh Kumar
In this article, we prove the following spectral theorem for right linear normal operators (need not to be bounded) in quaternionic Hilbert spaces: Let be an unbounded right qu…