Resumen de aµ-duals and holomorphic (nuclear) mappings

Manjul Gupta, Pawan Kumar Kamthan, G. M. Deheri

• Corresponding to an arbitrary sequence space $\mu$ and a sequence $\alpha$, we introduce the notion of an $\alpha\mu$-dual of a sequence space which, in particular, envelops the concepts of Köthe, $\beta-, \gamma- $ duals and the duals of an $\mathfrak{g}$-space studied in [4]. Using these concepts, we make a structural study of several subspaces of holomorphic mappings including characterizations of bounded and compact subsets