On the matrix Cauchy-Schwarz inequality

Sababheh, Mohammad; Conde, Cristian Marcelo; Reza Moradi, Hamid

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dc.creator	Sababheh, Mohammad
dc.creator	Conde, Cristian Marcelo
dc.creator	Reza Moradi, Hamid
dc.date.accessioned	2026-01-15T10:08:03Z
dc.date.available	2026-01-15T10:08:03Z
dc.date.issued	2023
dc.identifier.citation	Sababheh, M., Conde, C. M. y Reza Moradi, H. (2023). On the matrix Cauchy-Schwarz inequality. Operators and Matrices, 17(2), 525–538.
dc.identifier.issn	1846-3886
dc.identifier.uri	http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2722
dc.description	Revista con referato
dc.description	Fil: Conde, Cristian Marcelo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina.
dc.description	Fil: Conde, Cristian Marcelo. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina.
dc.description	Fil: Reza Moradi, Hamid. Islamic Azad University; Irán.
dc.description.abstract	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 .
dc.format	application/pdf
dc.language	eng
dc.publisher	ELEMENT
dc.relation	dx.doi.org/10.7153/oam-2023-17-34
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	https://creativecommons.org/licenses/by-nc-nd/4.0/
dc.source	Operators and Matrices. 2023; 17(2): 525–538
dc.subject	Lieb Functions
dc.subject	Operator Inequality
dc.subject	Cauchy-Schwarz Inequality
dc.subject.classification	Matemáticas
dc.title	On the matrix Cauchy-Schwarz inequality
dc.type	info:eu-repo/semantics/article
dc.type	info:ar-repo/semantics/artículo
dc.type	info:eu-repo/semantics/publishedVersion