Norm closed ideals in the algebra of bounded linear operators on orlicz sequence spaces
Abstract
For each 1 < p < ∞, we consider a class of p-regular Orlicz sequence spaces ℓM that are "close" to ℓp and study the structure of the norm closed ideals in the algebra of bounded linear operators on such spaces. We show that the unique maximal ideal in L(ℓM) is the set of all ℓM strictly singular operators and the immediate successor of the ideal of compact operators in L(ℓM) is the closed ideal generated by the formal identity from ℓM into ℓp. © 2014 American Mathematical Society.
Publication Title
Proceedings of the American Mathematical Society
Recommended Citation
Lin, P., Sari, B., & Zheng, B. (2014). Norm closed ideals in the algebra of bounded linear operators on orlicz sequence spaces. Proceedings of the American Mathematical Society, 142 (5), 1669-1680. https://doi.org/10.1090/S0002-9939-2014-11903-4
