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- W2589576989 abstract "Let (A_1, ldots , A_k) be function algebras (or more generally, dense subspaces of uniformly closed function algebras) on locally compact Hausdorff spaces (X_1, ldots ,X_k), respectively, and let Y be a locally compact Hausdorff space. A k-real-linear map (T:A_1times cdots times A_klongrightarrow C_0(Y)) is called a real-multilinear (or k-real-linear) isometry if $$begin{aligned} Vert T(f_1, ldots , f_k)Vert =prod _{i=1}^{k} Vert f_iVert quad ((f_1, ldots , f_k)in A_1times cdots times A_k), end{aligned}$$where (Vert cdot Vert ) denotes the supremum norm. In this paper we study such maps and obtain generalizations of basically all known results concerning multilinear and real-linear isometries on function algebras." @default.
- W2589576989 created "2017-03-03" @default.
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- W2589576989 date "2017-02-25" @default.
- W2589576989 modified "2023-09-29" @default.
- W2589576989 title "Real-Multilinear Isometries on Function Algebras" @default.
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- W2589576989 doi "https://doi.org/10.1007/s00025-017-0660-1" @default.
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