On continuous multiplicative mappings on analytic sequence spaces

• Autorzy: Arizmendi H.P. , Carrillo A.H. , Palacios L.F.
• Języki publikacji: EN

Abstrakty

EN

Let A denotes the space of all complex sequences such that an appropriate power series converges for |z|<1 and B denotes the space of all complex sequences such that an appropriate power series converges for |z|>1. In this paper we prove that A and B, provided with their normal topologies turn out to be a topo-logical (matrix) algebras. Also we show that when they are endowed with such topologies then the set of all the matrix mappings from A or B into any of these two spaces coincides with the set of all the continuous linear transformations. We also characterize all-non-zero multiplicative and continu-ous matrix mappings between those two algebras.

Słowa kluczowe

EN

continuous multiplicative mapping; analytic sequence space

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Annales Societatis Mathematicae Polonae. Seria 1: Commentationes Mathematicae
• Rocznik: 1999
• Tom: [Z] 39
• Strony: 1--10
• Opis fizyczny: bibliogr. 7 poz.

Twórcy

autor

Arizmendi H.P.

autor

Carrillo A.H.

autor

Palacios L.F.

• Instituto de Mathematicas, Universidad Nacional Autonoma de Mexico Circuito Exterior, Ciudad Universitaria, 04510 Mexico, D.F.,