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A note on Jensen inequality for self-adjoint operators

Functional Analysis 2009-04-17 v1

Abstract

In this paper we consider the order-like relation for self-adjoint operators on some Hilbert space. This relation is defined by using Jensen inequality. We will show that under some assumptions this relation is antisymmetric.

Keywords

Cite

@article{arxiv.0904.2428,
  title  = {A note on Jensen inequality for self-adjoint operators},
  author = {Tomohiro Hayashi},
  journal= {arXiv preprint arXiv:0904.2428},
  year   = {2009}
}

Comments

10 pages

R2 v1 2026-06-21T12:51:57.927Z