Abstract
We give some conditions under which an "into" isometric mapping from the unit sphere of an $\mathcal{L}^{\infty}(\Gamma)$-type space (in particular, the atomic $AM$-space) to the unit sphere of some Banach space can be (real) linearly extended.
Citation
Guang-Gui Ding. "The isometric extension of the into mapping from a $\scr L\sp \infty(\Gamma)$-type space to some Banach space." Illinois J. Math. 51 (2) 445 - 453, Summer 2007. https://doi.org/10.1215/ijm/1258138423
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