On the commutant of asymptotically non-vanishing contractions
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The injectivity of the commutant mapping of asymptotically nonvanishing contractions is examined. We show that this mapping can be injective even in the presence of a non-trivial stable subspace. Various characterizations of injectivity are provided.
Key words and phrasescommutant mapping unitary asymptote contraction
Mathematics subject classification numbers47A45 47A15 47B47
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