The problem of isometric extension on the unit sphere of the space $ l\cap l^p(H)$ for $0 < p < 1$

Xiaohong Fu

doi:10.15352/afa/06-3-8

2015 The problem of isometric extension on the unit sphere of the space $ l\cap l^p(H)$ for $0 < p < 1$

Xiaohong Fu

Ann. Funct. Anal. 6(3): 87-95 (2015). DOI: 10.15352/afa/06-3-8

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 $l\cap l^p(H)$.

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Xiaohong Fu "The problem of isometric extension on the unit sphere of the space $ l\cap l^p(H)$ for $0 < p < 1$," Annals of Functional Analysis 6(3), 87-95, (2015). https://doi.org/10.15352/afa/06-3-8

Published: 2015

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