Details

Autor(en) / Beteiligte

• 伊继金 王瑞东 王晓晓

Titel

EXTENSION OF ISOMETRIES BETWEEN THE UNIT SPHERES OF COMPLEX lp（Γ）（p〉1） SPACES

Ist Teil von

• 数学物理学报：B辑英文版, 2014 (5), p.1540-1550

Erscheinungsjahr

2014

Link zum Volltext

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• In this paper, we study the extension of isometries between the unit spheres of complex Banach spaces lp（Γ） and lp（△）（p 〉1）. We first derive the representation of isometries between the unit spheres of complex Banach spaces lp（Γ） and lp（△）. Then we arrive at a conclusion that any surjective isometry between the unit spheres of complex Banach spaces lp（Γ）and lp（△） can be extended to be a linear isometry on the whole space.