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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.
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참고문헌 (13)
참고문헌 신청
D. F. Almeida / 1992 / The rst mathematical proof of Wigner's theorem / J. Natur. Geom 2(2):113~123
S. Banach / 1993 / Theorie des operations lineaires / Editions Jacques Gabay
GuangGui Ding / 2009 / On isometric extension problem between two unit spheres / Science in China Series A: Mathematics 52(10):2069~2083
Gy.P. Gehér / 2014 / An elementary proof for the non-bijective version of Wigner's theorem / Physics Letters A 378(30-31):2054~2057
MáTé Győry / 2004 / A new proof of Wigner's theorem / Reports on Mathematical Physics 54(2):159~167
S. Banach / 1993 / Theorie des operations lineaires / Editions Jacques Gabay
GuangGui Ding / 2009 / On isometric extension problem between two unit spheres / Science in China Series A: Mathematics 52(10):2069~2083
Gy.P. Gehér / 2014 / An elementary proof for the non-bijective version of Wigner's theorem / Physics Letters A 378(30-31):2054~2057
MáTé Győry / 2004 / A new proof of Wigner's theorem / Reports on Mathematical Physics 54(2):159~167
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