G. Ramesh

activity

20102023

most citedStinespring's theorem for maps on Hilbert C*-modules

32 citations · 51 across the 22 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

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 $T$ is a densely defined clos…

math.FA2015★ 2 cited

Perturbation of closed range operators and Moore-Penrose inverse

S. H. Kulkarni, G. Ramesh

Let $H_{1}, H_{2}$ be complex Hilbert spaces and $T : H_{1} \to H_{2}$ be a densely defined closed operator with domain $D (T) \subseteq H_{1}$ and $T^{†}$ be the Moore-Penrose inver…

math.SP2015★ 1 cited

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 $T$ be an unbounded right qu…