Corrigendum to “On the spectral bound of the generator of a -semigroup” (Studia Math. 125 (1997), 23-33)
Some statements of the paper [4] are corrected.
Decomposable systems of differential operators and generalized inverses
Dense range perturbations of hypercyclic operators
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
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
Drazin Inverses of Operators With Rational Resolvent
Duality of linear operators in locally convex spaces
Duality theory for linear -th order integro-differential operators with domain in determined by interface side conditions
Ein Homomorphiesatz und verwandte Operatoren in topologischen Vektorräumen.
Elements of C*-algebras commuting with their Moore-Penrose inverse
We give new necessary and sufficient conditions for an element of a C*-algebra to commute with its Moore-Penrose inverse. We then study conditions which ensure that this property is preserved under multiplication. As a special case of our results we recover a recent theorem of Hartwig and Katz on EP matrices.
Erratum to: “Towards a theory of some unbounded linear operators on -adic Hilbert spaces and applications”
Every Frame is a Sum of Three (But Not Two) Orthonormal Bases-and Other Frame Representations.
Exponentials of normal operators and commutativity of operators: a new approach
We present a new approach to the question of when the commutativity of operator exponentials implies that of the operators. This is proved in the setting of bounded normal operators on a complex Hilbert space. The proofs are based on some results on similarities by Berberian and Embry as well as the celebrated Fuglede theorem.
Factorable and strictly singular operators in a product space
Factoring unconditionally converging operators
Fractional powers of non-densely defined operators
Full Operators on Reflexive Banach Space
Gap and perturbation of non-semi-Fredholm operators.
General numerical radius inequalities for matrices of operators
General Representation of Pseudoinverses