Two tuples of noncommutative Orlicz sequence spaces and some geometry properties

2025/05/22 by Zhenhua, Ma, Lining, Jiang
#FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.2505.16111

Abstract

The primary contribution of this study lies in proposing a new concept termed 2-tuples of noncommutative Orlicz sequence spaces \bigoplus_j=1²S_φ_j,p, where S_φ_j denotes a noncommutative Orlicz sequence space. By leveraging the three-line theorem, we establish the Riesz-Thorin interpolation theorem for \bigoplus_j=1²S_φ_j,p. As applications, we derive bound for the nonsquare and von Neumann-Jordan constant of noncommutative Orlicz space S_φ_s (0

Citations

• Closed subspaces and some basic topological properties of noncommutative Orlicz spaces

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