aµ-duals and holomorphic (nuclear) mappings

• Autores: Manjul Gupta, Pawan Kumar Kamthan, G. M. Deheri
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 36, Fasc. 1, 1985, págs. 33-71
• Idioma: inglés
• Títulos paralelos:
  • aµ-duales y aplicaciones holomorfas (nucleares)
• Enlaces
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• Resumen

  • 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