Smooth p-order ideals in non-unital ordered normed spaces
Advances in Operator Theory
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.
Ghatak, Anindya, "Smooth p-order ideals in non-unital ordered normed spaces" (2021). Journal Articles. 1895.