Accretive operators and Banach Alaoglu theorem in linear 2-normed spaces

Abstract

In this paper we introduce the concept of accretive operator in linear 2-normed spaces, focusing on the relationship and the various aspects of accretive, m-accretive and maximal accretive operators. We prove the analogous of Banach-Alaoglu theorem in linear 2-normed spaces, obtaining an equivalent definition for accretive operators in 2-normed spaces.