Schur multiplier operator and matrix inequalities

In this note we obtain a reverse version of the Haagerup Theorem. In particular, if $ A \in \mathbb{M}_{n}$ has a $ 2\times2- $ principal submatrix as $ \left[ \begin{array}{cc}1& \alpha \\\beta & 1\\\end{array}\right]$ with $ \beta \neq \bar{\alpha}, $ then $ \Vert S_{A} \Vert > 1$ where...

Full description

Bibliographic Details
Published in:Journal of Mahani Mathematical Research
Main Author: Alemeh Sheikhhosseini
Format: Article
Language:English
Published: Shahid Bahonar University of Kerman 2023-11-01
Subjects:
Online Access:https://jmmrc.uk.ac.ir/article_3899_add8768074d97494f366c93a386f7f8b.pdf