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Descripción

‎We study Birkhoff-James orthogonality of compact linear operators on complex reflexive Banach spaces and obtain its characterization‎. ‎By means of introducing new definitions‎, ‎we illustrate that it is possible in the complex case‎, ‎to develop a study of orthogonality of compact linear operators‎, ‎analogous to the real case‎. ‎Furthermore‎, ‎earlier operator theoretic characterizations of Birkhoff-James orthogonality in the real case‎, ‎can be obtained as simple corollaries to our present study‎. ‎In fact‎, ‎we obtain more than one equivalent characterizations of Birkhoff-James orthogonality of compact linear operators in the complex case‎, ‎in order to distinguish the complex case from the real case‎.

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Project Euclid (Hosted at Cornell University Library)  

Autor(es)

Paul, Kallol -  Sain, ‎Debmalya -  Mal, ‎Arpita -  Mandal, Kalidas - 

Id.: 71252705

Idioma: inglés  - 

Versión: 1.0

Estado: Final

Tipo:  application/pdf - 

Palabras claveBirkhoff -  James orthogonality - 

Tipo de recurso: Text  - 

Tipo de Interactividad: Expositivo

Nivel de Interactividad: muy bajo

Audiencia: Estudiante  -  Profesor  -  Autor  - 

Estructura: Atomic

Coste: no

Copyright: sí

: Copyright 2018 Tusi Mathematical Research Group

Formatos:  application/pdf - 

Requerimientos técnicos:  Browser: Any - 

Relación: [References] 2538-225X

Fecha de contribución: 28-abr-2018

Contacto:

Localización:
* doi:10.15352/aot.1712-1268

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