Resumen de (F,f) operators and (F,f)-spaces

Nicolae Tita

• A new class of linear and bounded operators is introduced. This class is more general than the classes of operators from [4], [5] and [8]. Using this class lF,f we also introduce a class of locally convex spaces which is more general than the classes of the nuclear spaces [2], [3] and f-nuclear spaces [6]. For this class of operators similar properties are established to those of the well known classes lp, lf, lF and also the stability of the tensor product is proved. The stability of the tensor product is also proved for the (F,f)-spaces.