We investigate the perturbation problems of left and right generalized Drazin invertibility of
bounded linear operators on Hilbert spaces. Some algebraic and topological …

A Hilbert space operator T is called an EP operator if its range R (T) is closed and R (T)= R
(T⁎). First, we show that the class of invertible operators and the class of EP operators have …

In this paper the notions of left and right generalized Drazin–Riesz invertible linear relations
are introduced and studied. For these classes of linear relations we give several …

In this paper we present some new characteristics and expressions of left and right
generalized Drazin invertible bounded operators on a Banach space $ X. $ An explicit …

In this paper, we are interested in the continuity of the spectrum and some of its parts in the
setting of Hilbert spaces. We study the continuity of the spectrum in the class of operators …

The purpose of this paper is to study the relationship between spectral properties of a
bounded operator and its left and right generalized Drazin inverses. The description of the …

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In this paper, we present some characteristics and expressions of the Drazin inverse for
matrices and bounded linear operators in Banach spaces. We give a survey of some of the …

The Carlson-Shaffer operator is defined as L (a, c)= φ (a, c)∗ f, where f is analytic in the unit
disc and φ (a, c: z) denotes incomplete bets function. Using this operator together with the …