6533b824fe1ef96bd128150c

RESEARCH PRODUCT

On constructing injective spaces of type C(K)

J.l. BlascoC. Ivorra

subject

Discrete mathematicsMathematics(all)MonomorphismPure mathematicsGeneral methodGeneral MathematicsIsometryPoint (geometry)Horizontal line testInjective moduleInjective functionDivisible groupMathematics

description

Abstract In this paper we give a general method to construct averaging operators from which we obtain almost all known methods to obtain injective spaces of type C(K). From this point of view, some known constructions are better understood and they can be easily generalized and simplified, and we also obtain some new examples of injective spaces that have not been considered before.

https://doi.org/10.1016/s0019-3577(98)80014-1