Περίληψη:
Given a locally convex space E we define the locally convex algebra of kernels {Mathematical expression}, in such a way that the set of all its proper closed 2-sided ideals coincides with the set of all closed vector subspaces of ker(h), where h is a continuous algebra morphism of {Mathematical expression} into ℒb(E). Moreover, h is a strictly irreducible representation such that every representation ω: {Mathematical expression} →; ℒb(F) (F a locally convex space) is of the form ω =χoh, where χ stands for a continuous isomorphis of Im(h) into ℒb(F), for a suitable topology on Im(h). © 1984 Birkhäuser Verlag.
