空间s_p(a,L^q)中单位球面上的等距算子延拓问题

The Problem of Isometric Extension in the Unit Sphere of the Spaces_p(a,L^q)

讨论了空间Sp(α,L^q)中单位球面上的等距算子延拓问题,得到了空间Sp(α,L^q)中单位球面上的Lamperti等距能延拓到整个Sp(α,L^q)上.

In this paper, we present an isometric extension from the unit sphere of a subspace of Sp(α,L^q)to the whole spaceSp(α,L^q) We obtain that the Lamperti isometric mapping of the unit sphere Sp(α,L^q) into itself can be extended to an isometry on the whole spaceSp(α,L^q).