Nota sobre el espacio de las funciones continuas en el producto cartesiano de dos espacios compactos.
Continuity properties up to a countable partition.
Approximation and rigidity properties in renorming constructions are characterized with some classes of simple maps. Those maps describe continuity properties up to a countable partition. The construction of such kind of maps can be done with ideas from the First Lebesgue Theorem. We present new results on the relationship between Kadec and locally uniformly rotund renormability as well as characterizations of the last one with the simple maps used here.
Weakly uniformly rotund Banach spaces
The dual space of a WUR Banach space is weakly K-analytic.
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