Let ℋ be a Hilbert -module over a matrix algebra A. It is proved that any function which preserves the absolute value of the (generalized) inner product is of the form where φ is a phase-function and U is an A-linear isometry. The result gives a natural extension of Wigner’s classical unitary–antiunitary theorem for Hilbert modules.
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© 1999 American Institute of Physics.
1999
American Institute of Physics
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