Wigner's theorem in atomic $L_p$-spaces $(p>0)$

Xujian Huang; Dongni Tan

2018/92/3-4 (9) — DOI: 10.5486/PMD.2018.8005 — pp. 411-418

Wigner's theorem in atomic $L_p$-spaces $(p>0)$

Authors: Xujian Huang and Dongni Tan

Abstract:

We characterize mappings between real atomic $L_p$-spaces $(p>0)$ satisfying a certain pair of functional equations. An analogue of the real version of Wigner's theorem in real atomic $L_p$-spaces $(p>0)$ is presented.

Keywords: Wigner's theorem, isometry, atomic $L_p$-space

Mathematics Subject Classification: 39B52, 46B04