L^p(T,Σ,μ)(p≥1)型空间单位球面间的等距的表现和延拓(英文)

The Isometric Representation and Extension of the Mapping between the Unit Spheres of L^p(T,Σ,μ)(p≥1) Type Spaces

给出了Lp型空间单位球面间的满等距表现定理,推广了关于lp型空间的相应定理.作为简单推论证明了相关的等距延拓定理.

The representation theorem of the onto isometric operator between the unit spheres of the L^p type spaces is given, which is the extension of the corresponding result with respect to the l^p type spaces. It is also shown that the corresponding isometric extension theorem is an easy consequence.