Holomorphic and meromorphic properties of the g-Drazin inverse

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

Abstrakty

EN

If A(z) is a function of a 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 the conditions under which the g-Drazin inverse A°(z) is holomorphic and finite-meromorphic. Prom our results we recover a theorem of Steinberg on meromorphic families of compact operators.

Słowa kluczowe

PL

ograniczone liniowe operatory; przeksztłcenia Drazina; operatory meromorficzne; twierdzenie Steinberga

EN

bounded linear operator; g-Drazin inverse; differentiable g-Drazin inverse; meromorphic operator; theorem of Steinberg

• Czasopismo: Demonstratio Mathematica
• Rocznik: 2005
• Tom: Vol. 38, nr 3
• Strony: 657-666
• Opis fizyczny: Bibliogr. 18 poz.

Twórcy

autor

Koliha, J.

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

autor

Rakočević, V.

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

Bibliografia

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