Cosine families in GDP Quojection-Fréchet spaces-Reference-Cited by-同舟云学术

Cosine families in GDP Quojection-Fréchet spaces

Published:2022-01-30 Issue: Volume:40 Page:1-12
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:en
Short-container-title:bspm

Author:

Ameziane Hassani Rachid¹,Blali Aziz¹^ORCID,Elamrani Abdelkhalek¹,Moussaouja Khalil¹

Affiliation:

1. Université Sidi Mohamed Ben Abdellah

Abstract

We prove that if the Quojection-Fréchet space $X$ is a Grothendieck space with the Dunford-Pettis property, then every $C_ {0}$-cosine family is necessarily uniformly continuous and therefore its infinitesimal generator is a continuous linear operator.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

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