Abstract
In this paper, we consider the problem of isometric extension in the unit sphere of the space $s_p(\alpha,H)$. We obtain that Lamperti isometric mapping of the unit sphere $S(s_p(\alpha,H))$ into itself can be extended to an isometry on the whole space $s_p(\alpha,H)$.
Citation
Xiaohong Fu. "The problem of isometric extension in the unit sphere of the space $s_p(\alpha,H)$." Banach J. Math. Anal. 8 (1) 179 - 189, 2014. https://doi.org/10.15352/bjma/1381782095
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