EUDML

Currently displaying 1 – 6 of 6

Order by Relevance | Title | Year of publication

An algebraic derivative associated to the operator $D^{δ}$

V. Almeida; N. Castro; J. Rodríguez — 2000

Banach Center Publications

In this paper we get an algebraic derivative relative to the convolution $(f * g) (t) = \int_{0}^{t} i f (t - ψ) g (ψ) d ψ$ associated to the operator $D^{δ}$ , which is used, together with the corresponding operational calculus, to solve an integral-differential equation. Moreover we show a certain convolution property for the solution of that equation

Single valued extension property and generalized Weyl’s theorem

M. Berkani; N. Castro; S. V. Djordjević — 2006

Mathematica Bohemica

Let $T$ be an operator acting on a Banach space $X$ , let $σ (T)$ and $σ_{B W} (T)$ be respectively the spectrum and the B-Weyl spectrum of $T$ . We say that $T$ satisfies the generalized Weyl’s theorem if $σ_{B W} (T) = σ (T) ∖ E (T)$ , where $E (T)$ is the set of all isolated eigenvalues of $T$ . The first goal of this paper is to show that if $T$ is an operator of topological uniform descent and $0$ is an accumulation point of the point spectrum of $T,$ then $T$ does not have the single valued extension property at $0$ , extending an earlier result of J. K. Finch and a...

Integral representations of the $g$ -Drazin inverse in $C^{*}$ -algebras

N. Castro González; Jaromír J. Koliha; Yi Min Wei — 2004

Mathematica Bohemica

The paper gives new integral representations of the $g$ -Drazin inverse of an element $a$ of a $C^{*}$ -algebra that require no restriction on the spectrum of $a$ . The representations involve powers of $a$ and of its adjoint.

Page 1

Download Results (CSV)

Advanced Search

Formula preview

Currently displaying 1 – 6 of 6

An algebraic derivative associated to the operator $D^{δ}$

Single valued extension property and generalized Weyl’s theorem

Integral representations of the $g$ -Drazin inverse in $C^{*}$ -algebras

An extension of the perturbation analysis for the Drazin inverse.

Continuity and general perturbation of the Drazin inverse for closed linear operators.

Integral representation of the Drazin inverse.

Advanced Search

Formula preview

Currently displaying 1 – 6 of 6

An algebraic derivative associated to the operator D δ

Single valued extension property and generalized Weyl’s theorem

Integral representations of the g -Drazin inverse in C * -algebras

An extension of the perturbation analysis for the Drazin inverse.

Continuity and general perturbation of the Drazin inverse for closed linear operators.

Integral representation of the Drazin inverse.

An algebraic derivative associated to the operator $D^{δ}$

Integral representations of the $g$ -Drazin inverse in $C^{*}$ -algebras