Smooth p-order ideals in non-unital ordered normed spaces

Article Type

Research Article

Publication Title

Advances in Operator Theory

Abstract

We introduce smooth p -order ideals (1 ≤ p≤ ∞) to initiate the studies of ideals in non-unital ordered normed spaces. We obtain some order-theoretic properties and examples of these ideals. Furthermore, we show that every semi-M-ideal in affine space A(K) is smooth ∞-order ideal. Moreover, we derive that every smooth 1-order ideal is an L-summand in order smooth 1-normed space.

DOI

10.1007/s43036-021-00140-7

Publication Date

7-1-2021

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