Compact operators under Orlicz functions
Functional Analysis
2019-04-30 v2
Abstract
In this paper, the definition of noncommutative Orlicz sequence spaces is given, these spaces generalize the Schatten classes Sp(H). After some relations of trace and norm on this spaces have been researched, one give the criterion of reflexivity of these spaces. At last, as an application, we find the Toeplitz operator on the Bergman space belongs to some noncommutative Orlicz sequence spaces, hence the trace and the norm of operator could be computed.
Cite
@article{arxiv.1904.06550,
title = {Compact operators under Orlicz functions},
author = {Ma Zhenhua and Ji Kui and Li Yucheng},
journal= {arXiv preprint arXiv:1904.06550},
year = {2019}
}
Comments
14pages