Generalized reverse Young and Heinz inequalities

Shigeru Furuichi; Mohammad Bagher Ghaemi; Nahid Gharakhanlu

doi:10.1007/s40840-017-0483-y

Generalized reverse Young and Heinz inequalities

Classical Analysis and ODEs 2018-02-01 v1

Authors: Shigeru Furuichi , Mohammad Bagher Ghaemi , Nahid Gharakhanlu

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Abstract

In this paper, we study the further improvements of the reverse Young and Heinz inequalities for the wider range of $v$ , namely $v\in \mathbb{R}$ . These modified inequalities are used to establish corresponding operator inequalities on a Hilbert space.

Keywords

inequalities operator theory on hilbert spaces generalized inverses

Cite

@article{arxiv.1801.10389,
  title  = {Generalized reverse Young and Heinz inequalities},
  author = {Shigeru Furuichi and Mohammad Bagher Ghaemi and Nahid Gharakhanlu},
  journal= {arXiv preprint arXiv:1801.10389},
  year   = {2018}
}

Comments

The assumption $a,b \ge 0$ in original article was often modified as $a, b >0$

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