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math.FA2018★ 14 cited
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…
math.FA2015★ 3 cited
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…