On the essential approximate point spectrum II
On one subset M. Schechter's essential spectrum
On a class of operators
Polynomially compact elements of Banach algebras
On J. C. Alexander's theorem
Remarks on locally q-contraction operators
Continuity of the Drazin inverse II
We study the continuity of the generalized Drazin inverse for elements of Banach algebras and bounded linear operators on Banach spaces. This work extends the results obtained by the second author on the conventional Drazin inverse.
Measure of noncompactness of linear operators between spaces of sequences that are summable or bounded
In this paper we investigate linear operators between arbitrary BK spaces and spaces of sequences that are summable or bounded. We give necessary and sufficient conditions for infinite matrices to map into . Further, the Hausdorff measure of noncompactness is applied to give necessary and sufficient conditions for to be a compact operator.
Differentiability of the g-Drazin inverse
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.
Matrix transformations between the sequence space Bv^p and certain bk spaces
Measures of non-strict-singularity of operators
Continuity and general perturbation of the Drazin inverse for closed linear operators.
Common fixed point theorems for weakly compatible pairs on cone metric spaces.
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