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 Extension of phase-isometries between the unit spheres of atomic $L_p$-spaces for $p>0$ Bull. Korean Math. Soc. 2019 Vol. 56, No. 6, 1377-1384 https://doi.org/10.4134/BKMS.b180561Published online November 30, 2019 Xujian Huang, Xihong Jin Tianjin University of Technology; Tianjin University of Technology Abstract : In this paper, we prove that for every surjective phase-iso\-metry between the unit spheres of real atomic $L_p$-spaces for $p>0$, its positive homogeneous extension is a phase-isometry which is phase equivalent to a linear isometry. Keywords : extension of phase-isometries, unit sphere, atomic $L_p$-spaces MSC numbers : 46B04, 46B20 Downloads: Full-text PDF   Full-text HTML