Idempotent linear relations
Functional Analysis
2022-04-08 v1
Abstract
A linear relation acting on a Hilbert space is idempotent if A triplet of subspaces is needed to characterize a given idempotent: or equivalently, The relations satisfying the inclusions (sub-idempotent) or (super-idempotent) play an important role. Lastly, the adjoint and the closure of an idempotent linear relation are studied.
Cite
@article{arxiv.2204.03581,
title = {Idempotent linear relations},
author = {Maria Laura Arias and Maximiliano Contino and Alejandra Maestripieri and Stefania Marcantognini},
journal= {arXiv preprint arXiv:2204.03581},
year = {2022}
}