Abstract. In paper [5] B. Sz.-Nagy proved his famous theorem about contractions in complex Hilbert spaces. In this paper we generalize his theorem to quaternion Hilbert spaces.
AMS Subject Classification
(1991): 47A10
Keyword(s):
Quaternion Hilbert spaces,
operator,
spectrum,
contractions
Received July 11, 2006, and in revised form October 4, 2006. (Registered under 5966/2009.)
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