Differentiability of the g-Drazin inverse

J. J. Koliha, and V. Rakočević. "Differentiability of the g-Drazin inverse." Studia Mathematica 168.3 (2005): 193-201. <http://eudml.org/doc/285277>.

@article{J2005,
abstract = {If A(z) is a function of a real or complex variable with values in the space B(X) of all bounded linear operators on a Banach space X with each A(z)g-Drazin invertible, we study conditions under which the g-Drazin inverse $A^\{\}(z)$ is differentiable. From our results we recover a theorem due to Campbell on the differentiability of the Drazin inverse of a matrix-valued function and a result on differentiation of the Moore-Penrose inverse in Hilbert spaces.},
author = {J. J. Koliha, V. Rakočević},
journal = {Studia Mathematica},
keywords = {bounded linear operator; -Drazin inverse; differentiable -Drazin inverse},
language = {eng},
number = {3},
pages = {193-201},
title = {Differentiability of the g-Drazin inverse},
url = {http://eudml.org/doc/285277},
volume = {168},
year = {2005},
}

TY - JOUR
AU - J. J. Koliha
AU - V. Rakočević
TI - Differentiability of the g-Drazin inverse
JO - Studia Mathematica
PY - 2005
VL - 168
IS - 3
SP - 193
EP - 201
AB - If A(z) is a function of a real or complex variable with values in the space B(X) of all bounded linear operators on a Banach space X with each A(z)g-Drazin invertible, we study conditions under which the g-Drazin inverse $A^{}(z)$ is differentiable. From our results we recover a theorem due to Campbell on the differentiability of the Drazin inverse of a matrix-valued function and a result on differentiation of the Moore-Penrose inverse in Hilbert spaces.
LA - eng
KW - bounded linear operator; -Drazin inverse; differentiable -Drazin inverse
UR - http://eudml.org/doc/285277
ER -