1 citations · 2 across the 4 of their papers we have counts for
4 papers
Reverse Order Law for Closed Range Operators in Hilbert Spaces
Athira Satheesh K., K. Kamaraj, P. Sam Johnson
We present more than 50 results including some range inclusion results to characterize reverse order law for Moore-Penrose inverse of closed range Hilbert space operators. We use b…
Reverse Order Law for Generalized Inverses with Indefinite Hermitian Weights
K. Kamaraj, P. Sam Johnson, Athira Satheesh
In this paper, necessary and sufficient conditions are given for the existence of Moore-Penrose inverse of a product of two matrices in an indefinite inner product space (IIPS) in…
Fuglede-Putnam type commutativity theorems for operators
P. Sam Johnson, Vinoth A., K. Kamaraj
Fuglede-Putnam theorem is not true in general for operators on Hilbert spaces. We prove that under some conditions the theorem holds good. If the adjoint operation is replac…
Estimates of Norms on Krein Spaces
Athira Satheesh K., P. Sam Johnson, K. Kamaraj
Various norms can be defined on a Krein space by choosing different underlying fundamental decompositions. Some estimates of norms on Krein spaces are discussed and few results in…