2019/04/13 by Zhenhua Ma, Zhenhua, Ma, Kui Ji +3
Mathematics · #46L89 #47L25 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory
paper · pdf · doi:10.48550/arxiv.1904.06550
openalex publication_date 2019/04/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.