Wyniki wyszukiwania - BazTech

Ograniczanie wyników

2 Demonstratio Mathematica

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

On (α, β)-derivations of semiprime rings

Chaudhry M. A., Thaheem A. B.

Demonstratio Mathematica

2003

Vol. 36, nr 2

283--287

We show that if α and β are centralizing automorphisms and d a centralizing (α, β)-derivation of a semiprime ring R, then d is commuting. Some results on α-derivations and centralizing derivations of semiprime rings follow as applications of this result.

Operator-valued multiiiiiplication operators on weighted function spaces

Khan L. A., Thaheem A. B.

Demonstratio Mathematica

2002

Vol. 35, nr 3

599-605

Let X be a completely regular Hausdorff space, E a Hausdorff topological vector space, V a Nachbin family of weights on X, and CVb(X,E) the weighted space of continuous JS-valued functions on X. Let B(E) be the vector space of all continuous linear mappings from E into itself, endowed with the topology of uniform convergence on bounded sets. If phi: X -> B(E) is a continuous mapping and f zawiera CVb(X,E), let Mphi,(f) = phif, where (phif)(x) = (phi(x)(f(x) (x zawiera się X). In this paper we give a necessary and sufficient condition for Mphi to be the multiplication operator (i.e. continuous self-mapping) on CVb(X,E), where E is a general space or a locally bounded space. These results extend recent work of Singh and Manhas to a non-locally convex setting and that of the authors where phi has been considered to be a complex or E-valued map.