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arXiv · 2101.06725

Fuglede-Putnam type commutativity theorems for $ EP $ operators

P. Sam Johnson·Vinoth A.·K. Kamaraj
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Abstract

Fuglede-Putnam theorem is not true in general for $ EP $ 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 $ EP $ operators -- however proofs are totally different. Finally, interesting results on $ EP $ operators have been proved using several versions of Fuglede-Putnam type theorems for $ EP $ operators on Hilbert spaces.

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BibTeXRIS

P. Sam Johnson, Vinoth A., K. Kamaraj. 2021-01-17. Fuglede-Putnam type commutativity theorems for $ EP $ operators. https://arxiv.org/abs/2101.06725

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