Sobre sumabilidad Cesáro en el espacio CS (II).
This paper deals with locally convex topological sequence spaces. We first consider solid topologies in order to obtain some results that will be useful later. The main part of this paper is devoted to a detailed study of the normal topology of a dual pair of sequence spaces. We obtain criterions for this topology to be normable or metrizable, and conditions under which it coincides with the Mackey topology on echelon and coechelon spaces of order p. Finally we use the former results on solid topologies...
En el presente volumen se publican solamente los dos últimos capítulos de este artículo. Los tres restantes aparecieron en el número anterior.
Relations are established between several notions of solidity in vector-valued sequence spaces, and a generalized Köthe-Toeplitz dual space is introduced in the setting of a Banach algebra.
We present monotonicity theorems for index functions of N-fuctions, and obtain formulas for exact values of packing constants. In particular, we show that the Orlicz sequence space generated by the N-function N(v) = (1+|v|)ln(1+|v|) - |v| with Luxemburg norm has the Kottman constant , which answers M. M. Rao and Z. D. Ren’s [8] problem.