Theoretical study demonstrates the Riesz–Thorin interpolation theorem in noncommutative Orlicz sequence spaces, suggesting new bounds for geometric and von Neumann–Jordan constants.
Based on the new concept of 2-tuples of noncommutative Orlicz sequence spaces, we establish the Riesz–Thorin interpolation theorem. As applications, bounds for the nonsquare and von Neumann–Jordan constants of the noncommutative Orlicz space are given.
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Ma et al. (2026) studied this question.
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