Mutually non isomorphic mixed-norm Lebesgue spaces

2024/11/15 by Ansorena, José L., Bello, Glenier
#46B03 #46B07 #46B08 #46B10 #46B15 #46B20 #46B25 #46B42 #46E30 #46E40 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2411.10576

Abstract

We prove that for 1≤ p,q≤∞ the mixed-norm spaces L_q(L_p) are mutually non-isomorphic, with the only exception that L_q(L₂) is isomorphic to L_q(L_q) for all 1

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