English

Improved operator Kantorovich and Wielandt inequalities for positive linear maps

Functional Analysis 2015-01-14 v1

Abstract

In this paper, we improve and generalize the operator versions of Kantorovich and Wielandt inequalities for positive linear maps on Hilbert space. Our results are more extensive and precise than many previous results due to Fu and He [Linear Multilinear Algebra, doi: 10. 1080/03081087. 2014. 880432.] and Zhang [Banach J. Math. Anal., 9 (2015), no. 1, 166-172.].

Keywords

Cite

@article{arxiv.1501.03006,
  title  = {Improved operator Kantorovich and Wielandt inequalities for positive linear maps},
  author = {Wenshi Liao and Junliang Wu},
  journal= {arXiv preprint arXiv:1501.03006},
  year   = {2015}
}

Comments

11 pages