Differentiability of the g-Drazin inverse

• Autorzy: J. J. Koliha , V. Rakočević
• Języki publikacji: EN

Abstrakty

EN

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 $A^{𝖣}(z)$ 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.

Kategorie tematyczne

• 47A05: General (adjoints, conjugates, products, inverses, domains, ranges, etc.)
• 47A60: Functional calculus
• 47A10: Spectrum, resolvent

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2005
• Tom: 168
• Numer: 3
• Strony: 193-201

Daty

wydano

2005

Twórcy

autor

J. J. Koliha

• Department of Mathematics and Statistics, University of Melbourne, Melbourne, VIC 3010, Australia

autor

V. Rakočević

• Faculty of Science and Mathematics, Višegradska 33, 18000 Niš, Serbia-Montenegro

Identyfikatory

DOI

10.4064/sm168-3-1