%0 Journal Article
%T Orthogonality-preserving, C*-conformal and conformal module mappings on Hilbert C*-modules
%A Michael Frank
%A Alexander S. Mishchenko
%A Alexander A. Pavlov
%J Mathematics
%D 2009
%I arXiv
%X We investigate orthonormality-preserving, C*-conformal and conformal module mappings on Hilbert C*-modules to obtain their general structure. Orthogonality-preserving bounded module maps T act as a multiplication by an element \lambda of the center of the multiplier algebra of the C*-algebra of coefficients combined with an isometric module operator as long as some polar decomposition conditions for the specific element \lambda are fulfilled inside that multiplier algebra. Generally, T always fulfils the equality $<T(x),T(y) > = | \lambda |^2 < x,y>$ for any elements x,y of the Hilbert C*-module. At the contrary, C*-conformal and conformal bounded C*-linear mappings are shown to be only the positive real multiples of isometric module operators.
%U http://arxiv.org/abs/0907.2983v3