Range-kernel orthogonality and elementary operators on certain Banach spaces

DOI10.1515/dema-2021-0024zbMath1482.46013OpenAlexW3191034513MaRDI QIDQ2050176

A. Segres, Ahmed Bachir, Nawal Ali Sayyaf, Khalid Ouarghi

Publication date: 30 August 2021

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2021-0024

zbMATH Keywords

elementary operatorrange-kernel orthogonalitySchatten \(p\)-classestrace class operators

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spaces of operators; tensor products; approximation properties (46B28) Commutators, derivations, elementary operators, etc. (47B47)

Cites Work

• Convex functions, monotone operators and differentiability.
• Norm inequalities for partitioned operators and an application
• Subspace gaps and range-kernel orthogonality of an elementary operator
• On the metric geometry of ideals of operators on Hilbert space
• Skew exactness and range-kernel orthogonality
• On Normal Derivations
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Range-kernel orthogonality of the elementary operator \(X\to\sum_{i=1}^n A_iXB_i - X\)
• Putnam-Fuglede theorem and the range-kernel orthogonality of derivations
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Range-kernel orthogonality and elementary operators on certain Banach spaces