Abstract
We show in this paper that every bijective linear isometry between the continuous section spaces of two non-square Banach bundles gives rise to a Banach bundle isomorphism. This is to support our expectation that the geometric structure of the continuous section space of a Banach bundle determines completely its bundle structures. We also describe the structure of an into isometry from a continuous section space into an other. However, we demonstrate by an example that a non-surjective linear isometry can be far away from a subbundle embedding.
Citation
Ming-Hsiu Hsu. Ngai-Ching Wong. "ISOMETRIC EMBEDDINGS OF BANACH BUNDLES." Taiwanese J. Math. 15 (5) 1969 - 1978, 2011. https://doi.org/10.11650/twjm/1500406417
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