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- Title
ON THE MATRIX CAUCHY–SCHWARZ INEQUALITY.
- Authors
SABABHEH, MOHAMMAD; CONDE, CRISTIAN; MORADI, HAMID REZA
- Abstract
The main goal of this work is to present new matrix inequalities of Cauchy-Schwarz type. In particular, we investigate the so-called Lieb functions, whose definition came as an umbrella of Cauchy-Schwarz-like inequalities, then we consider the mixed Cauchy-Schwarz inequality. This latter inequality has been influential in obtaining several other matrix inequalities, including numerical radius and norm results. Among many other results, we show that ||T||≤1/4(|| |T|+|T*|+2RT||+|| T|+|T*|-2RT||) where RT is the real part of the matrix T.
- Subjects
MATRIX, The (Film); SCHWARZ inequality; MATRIX inequalities
- Publication
Operators & Matrices, 2023, Vol 17, Issue 2, p525
- ISSN
1846-3886
- Publication type
Article
- DOI
10.7153/oam-2023-17-34