Add to ORKGThe main topic of the paper is the continuity of several kinds of generalized inversion of elements in a Banach algebra with identity. We introduce the notion of asymptotic generalized invertibility and completely characterize sequences of elements with this property. Based on this result, we derive continuity criteria which generalize the well known criteria from operator theory
Abstractet X,Y be Banach spaces and let T∈B(X,Y) be a linear operator with closed range R(T). We con...
summary:The space of inessential bounded linear operators from one Banach space $X$ into another $Y$...
Some of the most recent and significant results on homomorphisms and derivations in Banach algebras,...
AbstractThe main purpose of this paper is to study the continuity of several kinds of generalized in...
Let X be a Banach space and T be a bounded linear operator from X to itself (T ∈ B(X).) An operator ...
[EN] Properties of the inverse along an element in rings with an involution, Banach algebras and C*-...
This book addresses selected topics in the theory of generalized inverses. Following a discussion of...
AbstractLet X1, X2 be two Banach spaces and T:X1→X2 be a bounded linear operator with a bounded gene...
In this paper we consider a subset A ̂ of a Banach algebra A (containing all elements of A which hav...
AbstractGiven a bounded operator A on a Banach space X with Drazin inverse AD and index r, we study ...
summary:We investigate the generalized Drazin inverse and the generalized resolvent in Banach algebr...
AbstractConditions are given for Banach algebras U and commutative Banach algebras B which insure th...
We prove that every generalized Jordan derivation D from a JB*-algebra A into itself or into its dua...
AbstractIn this paper, we reconsider the iterative method Xk=Xk−1+βY(I−AXk−1), k=1,2,…,β∈C∖{0} for c...
AbstractThe paper is largely expository. It is shown that if a(x) is a smooth unital Banach algebra ...
Abstractet X,Y be Banach spaces and let T∈B(X,Y) be a linear operator with closed range R(T). We con...
summary:The space of inessential bounded linear operators from one Banach space $X$ into another $Y$...
Some of the most recent and significant results on homomorphisms and derivations in Banach algebras,...
AbstractThe main purpose of this paper is to study the continuity of several kinds of generalized in...
Let X be a Banach space and T be a bounded linear operator from X to itself (T ∈ B(X).) An operator ...
[EN] Properties of the inverse along an element in rings with an involution, Banach algebras and C*-...
This book addresses selected topics in the theory of generalized inverses. Following a discussion of...
AbstractLet X1, X2 be two Banach spaces and T:X1→X2 be a bounded linear operator with a bounded gene...
In this paper we consider a subset A ̂ of a Banach algebra A (containing all elements of A which hav...
AbstractGiven a bounded operator A on a Banach space X with Drazin inverse AD and index r, we study ...
summary:We investigate the generalized Drazin inverse and the generalized resolvent in Banach algebr...
AbstractConditions are given for Banach algebras U and commutative Banach algebras B which insure th...
We prove that every generalized Jordan derivation D from a JB*-algebra A into itself or into its dua...
AbstractIn this paper, we reconsider the iterative method Xk=Xk−1+βY(I−AXk−1), k=1,2,…,β∈C∖{0} for c...
AbstractThe paper is largely expository. It is shown that if a(x) is a smooth unital Banach algebra ...
Abstractet X,Y be Banach spaces and let T∈B(X,Y) be a linear operator with closed range R(T). We con...
summary:The space of inessential bounded linear operators from one Banach space $X$ into another $Y$...
Some of the most recent and significant results on homomorphisms and derivations in Banach algebras,...