Fuglede-Putnam type commutativity theorems for $ EP $ operators
Functional Analysis
2021-01-19 v1
Abstract
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 replaced by Moore-Penrose inverse in the theorem, we get Fuglede-Putnam type theorem for operators -- however proofs are totally different. Finally, interesting results on operators have been proved using several versions of Fuglede-Putnam type theorems for operators on Hilbert spaces.
Cite
@article{arxiv.2101.06725,
title = {Fuglede-Putnam type commutativity theorems for $ EP $ operators},
author = {P. Sam Johnson and Vinoth A. and K. Kamaraj},
journal= {arXiv preprint arXiv:2101.06725},
year = {2021}
}
Comments
10 pages