A new perspective on discrete Orlicz spaces with its natural 2-norm

Muh Nur

doi:10.5269/bspm.77073

Muh Nur Hasanuddin University

Abstract

In this note, we introduce the discrete Orlicz space that is equipped with a $2$-norm which can be viewed as a generalization of its usual norm. Using a norm that is obtained from the $2$-norm, we show that the discrete Orlicz space is complete with respect to $2$-norm. Use this fact to prove the fixed point theorem for the discrete Orlicz space that is equipped with a $2$-norm.

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