A note on the parallel sum
Functional Analysis
2022-02-07 v3
Abstract
By using a variational principle we find a necessary and sufficient condition for an operator to majorise the parallel sum of two positive definite operators. This result is then used as a vehicle to create new operator inequalities involving the parallel sum.
Keywords
Cite
@article{arxiv.2107.07935,
title = {A note on the parallel sum},
author = {Frank Hansen},
journal= {arXiv preprint arXiv:2107.07935},
year = {2022}
}
Comments
This is the final version to be published open access in Linear Algebra and its Applications