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18 p, 379.9 KB Common zeros preserving maps on vector-valued function spaces and Banach modules / Hosseini, Maliheh (K. N. Toosi University of Technology (Iran). Department of Mathematics) ; Sady, Fereshteh (Tarbiat Modares University (Iran). Department of Pure Mathematics)
Let X, Y be Hausdorff topological spaces, and let E and F be Hausdorff topological vector spaces. For certain subspaces A (X,E) and A(Y, F) of C(X,E) and C(Y, F) respectively (including the spaces of Lipschitz functions), we characterize surjections S, T : A (X;E) → A(Y, F), not assumed to be linear, which jointly preserve common zeros in the sense that Z (f - f') ∩ Z (f - f') ∩ Z (g - g') ≠ 0 if and only if Z (Sf - Sf') ∩ Z (Tg - Tg') ≠ 0 for all f, f', g, g' ∈ A (X, E). [...]
2016 - 10.5565/PUBLMAT_60216_10
Publicacions matemàtiques, Vol. 60 Núm. 2 (2016) , p. 565-582 (Articles)  

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