Artículo

A note about the norm of the sum and the anticommutator of two orthogonal projections

Conde, Cristian MarceloIcon
Fecha de publicación: 01/2022
Editorial: Elsevier
Revista: Journal of Mathematical Analysis and Applications
ISSN: 0022-247X
Idioma: Inglés
Tipo de recurso: Artículo publicado
Clasificación temática:

Resumen

In this note, we prove that for any two orthogonal projections PT,PS on a Hilbert the well-known norm formulas ‖PT+PS‖=1+‖PTPS‖, unless PT=PS=0 and ‖PTPS+PSPT‖=‖PTPS‖2+‖PTPS‖, can be derived from each other. Such result is obtained from the relation between the spectra of the sum and product of any two idempotents in a Banach algebra. Applications of our results are given.
Palabras clave: ANTICOMMUTATOR , COMMUTATOR , NORM INEQUALITIES , ORTHOGONAL PROJECTION
 
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info:eu-repo/semantics/restrictedAccess Excepto donde se diga explícitamente, este item se publica bajo la siguiente descripción: Creative Commons Attribution-NonCommercial-ShareAlike 2.5 Unported (CC BY-NC-SA 2.5)
Identificadores
URI: http://hdl.handle.net/11336/161213
URL: https://linkinghub.elsevier.com/retrieve/pii/S0022247X21007290
DOI: http://dx.doi.org/10.1016/j.jmaa.2021.125650
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Citación
Conde, Cristian Marcelo; A note about the norm of the sum and the anticommutator of two orthogonal projections; Elsevier; Journal of Mathematical Analysis and Applications; 505; 2; 1-2022; 1-11
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