Subspace gaps and range-kernel orthogonality of an elementary operator

DOI10.1016/j.laa.2003.11.006zbMath1050.47035OpenAlexW2001279152MaRDI QIDQ1826837

Bhaggy Duggal

Publication date: 6 August 2004

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2003.11.006

zbMATH Keywords

hyponormal operatorelementary operatorrange-kernel orthogonalitySchatten \(p\)-classesexactness\(k\)-gap

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (7)

On the minimum gap and the angle between two subspaces ⋮ The closure of the range of an elementary operator ⋮ Elementary operators, finite ascent, range closure and compactness ⋮ On the range closure of an elementary operator ⋮ Range-kernel orthogonality and elementary operators on certain Banach spaces ⋮ Range-kernel weak orthogonality of some elementary operators ⋮ Range-kernel orthogonality and elementary operators: the nonsmoothness case

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An extension of Putnam-Fuglede theorem for hyponormal operators
• Norm inequalities for partitioned operators and an application
• Elementary operators and orthogonality.
• Spectral analysis using ascent, descent, nullity and defect
• Normal operators on Banach spaces
• On operators with unitary ϱ-dilations
• Orthogonality of the range and the kernel of some elementary operators
• A remark on generalised Putnam-Fuglede theorems
• Skew exactness perturbation
• On Normal Derivations
• Orthogonality in \({\mathcal C}_p\) classes
• Range-kernel orthogonality of the elementary operator \(X\to\sum_{i=1}^n A_iXB_i - X\)
• Generalized Anderson's inequality
• Putnam-Fuglede theorem and the range-kernel orthogonality of derivations

This page was built for publication: Subspace gaps and range-kernel orthogonality of an elementary operator