IAM 02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
artículos
Título:
A STUDY OF ORTHOGONALITY OF BOUNDED LINEAR OPERATORS
Autor/es:
DEBMALYA SAIN ; DEBMALYA SAIN ; TAMARA BOTTAZZI; TAMARA BOTTAZZI; CRISTIAN CONDE; CRISTIAN CONDE
Revista:
BANACH JOURNAL OF MATHEMATICAL ANALYSIS
Editorial:
BANACH MATHEMATICAL RESEARCH GROUP
Referencias:
Año: 2020 vol. 14 p. 1001 - 1018
ISSN:
1735-8787
Resumen:
We study Birkhoff-James orthogonality and isosceles orthogonality of bounded linear operators between Hilbert spaces and Banach spaces. We explore Birkhoff-James orthogonality of bounded linear operators in light of anew notion introduced by us and also discuss some of the possible applications in this regard. We also study isosceles orthogonality of bounded (positive) linear operators on a Hilbert space and some of the related properties, including that of operators having disjoint support. We further explore the relationsbetween Birkhoff-James orthogonality and isosceles orthogonality in a general Banach space.
