Normality of adjointable module maps
نویسندگان
چکیده
Normality of bounded and unbounded adjointable operators is discussed. If T is an adjointable operator on a Hilbert C*-module which has polar decomposition, then T is normal if and only if there exists a unitary operator U which commutes with T and T ∗ such that T = U T ∗. Kaplansky’s theorem for normality of the product of bounded operators is also reformulated in the framework of Hilbert C*-modules. AMS subject classifications: Primary 46L08; Secondary 47A05, 46C05
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