Taylor expansion for an operator function

2004/08/30 by Ioan Sturzu, Sturzu, Ioan
Mathematics · Physics and Astronomy · #47A55 #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP #msc:47A55

paper · pdf · doi:10.48550/arxiv.math-ph/0408059

arxiv created 2004/08/30 · arxiv updated 2009/12/01

Abstract

A simple version for the extension of the Taylor theorem to the operator functions was found. The expansion was done with respect to a value given by a diagonal matrix for the non-commutative case, and the coefficients are given both by recurrence relations and Cauchy integrals.

Related

• Taylor approximations of operator functions
• A Taylor expansion of the square root matrix functional
• Perturbations and operator trace functions
• Characterization of Jordan Vectors of Operator-Valued Functions with Applications in Differential Equations
• DX-operator expansion