Derivations, derivatives and chain rules

DOI10.1016/S0024-3795(99)00084-1zbMath0951.47012MaRDI QIDQ1970441

Rajendra Bhatia, Kalayan B. Sinha

Publication date: 11 December 2000

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

zbMATH Keywords

Fréchet derivativederivationcommutatorperturbation boundcalculus of operator functions

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (5)

Unitarily invariant norm inequalities for elementary operators involving \(G_{1}\) operators ⋮ DUAL GEOMETRY OF THE WIGNER–YANASE–DYSON INFORMATION CONTENT ⋮ Variation of induced linear operators ⋮ Analytic functional calculus for two operators ⋮ Numerical radius inequalities involving commutators of \(G_{1}\) operators

Cites Work

• Inequalities for the Schatten p-norm. V
• Differentiation of operator functions and perturbation bounds
• First and second order perturbation bounds for the operator absolute value
• Quantum analysis -- non-commutative differential and integral calculi
• Perturbation formulas for traces on \(C^*\)-algebras
• Perturbation bounds for the operator absolute value
• Derivatives of the matrix exponential and their computation
• The calculus of operator functions and operator convexity
• Norm Estimates for Commutators of Operators
• Counterexample to a Question on Commutators
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