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Abstract. We establish the subnormality and reflexivity of certain operator tuples referred to as spherically quasinormal tuples (of which quasinormal tuples are a special case) and show that the duals of such tuples are also spherically quasinormal (and hence reflexive). Our arguments yield in particular new proofs of the subnormality and reflexivity of quasinormal tuples.
DOI: 10.14232/actasm-014-510-5
AMS Subject Classification
(1991): 47B20
Keyword(s):
quasinormal,
spherically quasinormal,
reflexive
Received January 22, 2014. (Registered under 10/2014.)
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