Two paranormal and the set of all entire Drichlet series

• Autores: D. K. Bhattacharya, S. Manna
• Localización: Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae Scientiarum, ISSN 1130-4723, Vol. 11, Nº. 1-2, 1999, págs. 57-70
• Idioma: inglés
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• Resumen

  • In this paper, the notion of two-paranorm is introduced, and it is shown that the set of all entire Dirichlet series with different exponents possesses such two-paranorm structure.

    Next, the concept of Saks space of a two-paranorm space is introduced, and it is proved that the aforesaid two-paranorm space possesses a Saks space. Further, the importance of this Saks space is highlighted in the form of an interesting proposition. Lastly, the definition of a two-paranormed algebra is given and the existence of different types of two-paraalgebraic structures on n is investigated under suitable compositions and paranorms.