Abstract of a paper by Osamu Hatori, Shiho Oi
This is an announcement for the paper Isometries on Banach algebras of vector-valued maps” by Osamu Hatori<https://arxiv.org/find/math/1/au:+Hatori_O/0/1/0/all/0/1>, Shiho Oi<https://arxiv.org/find/math/1/au:+Oi_S/0/1/0/all/0/1>. Abstract: One of the purposes of this paper is to propose a unified approach for studies on isometries on the algebras of Lipschitz maps and continuously differentiable maps. We describe isometries on a certain admissible quadruple which is a common generalization of the algebra of Lipschitz maps and the algebra of continuously differentiable maps with values in unital commutative $C^*$-algebras. It implies that the isometry in Example 8 in \cite{jp} is indeed canonical. The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1709.05782
participants (1)
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Bentuo Zheng (bzheng)