Taylor approximations of operator functions

2013/02/28 by Anna Skripka, Skripka, Anna
Computer Science · Mathematics · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Mathematics #Functional Analysis (math.FA) #Matrix Theory and Algorithms #Spectral Theory in Mathematical Physics #math.FA

paper · pdf · doi:10.48550/arxiv.1302.7105

12 pages

arxiv created 2013/02/28 · openalex publication_date 2013/02/28 · arxiv updated 2013/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This survey on approximations of perturbed operator functions addresses recent advances and some of the successful methods.

Related

• Approximation by analytic operator functions. Factorizations and very badly approximable functions
• Approximation systems
• The behavior of functions of operators under perturbations
• Taylor expansion for an operator function
• Approximation by sequence of operators including Dunkl Appell polynomials