v2
https://www.raco.cat/index.php/CollectaneaMathematica/article/view/57060
2008-04-24T12:09:14Z
Collectanea Mathematica
1985: Vol.: 36 Núm.: 1; 33-72
$\alpha\mu$-Duals and holomorphic (nuclear) mappings
Gupta, Manjul
Kamthan, P. K.
Deheri, G. M.
2007-03-27 00:00:00
url:https://www.raco.cat/index.php/CollectaneaMathematica/article/view/57060
eng
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