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 .
Description:
Revista con referato
Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
Fil: Reza Moradi, Hamid. Islamic Azad University; Irán.
