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
Full-Text :


Copyright © Korean Mathematical Society. All Rights Reserved.
The Korea Science Technology Center (Rm. 411), 22, Teheran-ro 7-gil, Gangnam-gu, Seoul 06130, Korea
Tel: 82-2-565-0361  | Fax: 82-2-565-0364  | E-mail: paper@kms.or.kr   | Powered by INFOrang Co., Ltd