Abstract
In this paper, we study the problem of isometric extension on the unit sphere of the space $l\cap l^p(H)$ for $0 < p < 1$. We obtain that an isometric mapping of the unit sphere $S(l\cap l^p(H))$ onto itself can be extended to an isometry on the whole space $l\cap l^p(H)$.
Citation
Xiaohong Fu. "The problem of isometric extension on the unit sphere of the space $ l\cap l^p(H)$ for $0 < p < 1$." Ann. Funct. Anal. 6 (3) 87 - 95, 2015. https://doi.org/10.15352/afa/06-3-8
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