Extension of phase-isometries between the unit spheres of atomic Lp-spaces for p>0
Bull. Korean Math. Soc.
Published online October 24, 2019
Xujian Huang and Xihong Jin
Tianjin University of Technology, 300384 Tianjin, China
Abstract : In this paper, we prove that for every surjective phase-isometry between the unit spheres of real atomic Lp-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 Lp-spaces
MSC numbers : Primary 46B04, Secondary 46B20
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