On subnormality and formal subnormality for tuples of unbounded operators (Q1402346)

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scientific article; zbMATH DE number 1971840
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On subnormality and formal subnormality for tuples of unbounded operators
scientific article; zbMATH DE number 1971840

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    On subnormality and formal subnormality for tuples of unbounded operators (English)
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    27 August 2003
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    In the present paper, the new notion of joint formal normality for a class of unbounded linear operators on a separable Hilbert space is introduced . The author investigates some relations between the new notion, joint subnormality and hyponormality. Necessary and sufficient conditions for a tuple of unbounded operators with invariant domain to be jointly subnormal are presented.
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    subnormal operators
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    hyponormal operators
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    tuples of operators
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    joint subnormality
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    joint formal normality
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    unbounded linear operators
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    operators with invariant domain
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