Mathematics – Operator Algebras
Scientific paper
2009-07-17
Mathematics
Operator Algebras
13 pages / Thm. 1.3, second paragraph of proof - corrected, minor changes of formulations in the text, references updated
Scientific paper
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 $
Frank Michael
Mishchenko Alexander S.
Pavlov Alexander A.
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