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Scientific articles

Two parameter $C_{0}$-semigroups of linear operators on locally convex spaces

J. Ettayb

Regional Academy of Education and Training Casablanca–Settat, Hamman Al–Fatawaki Collegiate High School

Abstract: The purpose of this paper is to study two parameter (resp. $n$-parameter) exponentially equicontinuous $C_{0}$-semigroups of continuous linear operators on sequentially complete locally convex Hausdorff spaces. In particular, we demonstrate the Hille–Yosida theorem for two parameter (resp. $n$-parameter) exponentially equicontinuous $C_{0}$-semigroups of continuous linear operators on sequentially complete locally convex Hausdorff spaces. Moreover, the $n$-parameter $C_{0}$-semigroups of continuous linear operators on Banach spaces are studied.

Keywords: $C_{0}$-semigroups of continuous linear operators, two parameter semigroups of continuous linear operators, locally convex spaces

UDC: 517.98, 512.53

MSC: 47D03

Received: 08.02.2025
Accepted: 06.06.2025

Language: English

DOI: 10.20310/2686-9667-2025-30-150-183-204