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math.FA2021
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…
math.FA2021★ 1 cited
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…