Group inverse and core inverse in Banach and <i>C</i>*-algebras
Nadica Mihajlović
Abstract
In this paper, we have focused our study on the acute perturbation of the group inverse for the elements of Banach algebra with respect to the spectral radius. We also give perturbation analysis for the core inverse in C*- algebra. The perturbation bounds for the core inverse under some conditions are presented. Additionally, this paper extends the results obtained in [11, 14].
Topics & Concepts
MathematicsInverseSpectral radiusBanach algebraPerturbation (astronomy)Drazin inverseMoore–Penrose pseudoinversePure mathematicsAlgebra over a fieldBanach spaceEigenvalues and eigenvectorsPhysicsGeometryQuantum mechanicsMatrix Theory and AlgorithmsAlgebraic and Geometric AnalysisSpectral Theory in Mathematical Physics