Decomposable systems of differential operators and generalized inverses
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Displaying 1 – 7 of 7
Dense range perturbations of hypercyclic operators
Luis Bernal-Gonzalez (2002)
Colloquium Mathematicae
We show that if (Tₙ) is a hypercyclic sequence of linear operators on a locally convex space and (Sₙ) is a sequence of linear operators such that the image of each orbit under every linear functional is non-dense then the sequence (Tₙ + Sₙ) has dense range. Furthermore, it is proved that if T,S are commuting linear operators in such a way that T is hypercyclic and all orbits under S satisfy the above non-denseness property then T - S has dense range. Corresponding statements for operators and sequences...
Differentiability of the g-Drazin inverse
J. J. Koliha, V. Rakočević (2005)
Studia Mathematica
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 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.
Disjointly strictly-singular operators in Banach lattices
Fernando Hernández-Hernández (1990)
Acta Universitatis Carolinae. Mathematica et Physica
Drazin Inverses of Operators With Rational Resolvent
Christoph Schmoeger (2008)
Publications de l'Institut Mathématique
Duality of linear operators in locally convex spaces
Gerhard Garske (1978)
Studia Mathematica
Duality theory for linear -th order integro-differential operators with domain in determined by interface side conditions
Richard C. Brown, Milan Tvrdý, Otto Vejvoda (1982)
Czechoslovak Mathematical Journal
Currently displaying 1 – 7 of 7
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