The Journal of the Indian Mathematical Society

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A Note on Hyponormal Operators


Affiliations
1 Institute of Mathematics, Rumanian Academy, str. Calea Grivitei 21, Bucharest-12, Romania
     

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An operator T defined on a Hilbert space H is said to be hyponormal if for every x ∈ H, || T* x || < || Tx ||. The numerical range of an operator T is the set W(T) defined by the relation.
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  • A Note on Hyponormal Operators

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Authors

Vasile Istratescu
Institute of Mathematics, Rumanian Academy, str. Calea Grivitei 21, Bucharest-12, Romania

Abstract


An operator T defined on a Hilbert space H is said to be hyponormal if for every x ∈ H, || T* x || < || Tx ||. The numerical range of an operator T is the set W(T) defined by the relation.