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The norm of a
derivation
Joseph Gail Stampfli |
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Vol. 33 (1970), No. 3, 737–747
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Abstract |
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In this paper, we determine the norm of the inner derivation QT : A → TA−AT acting on the Banach algebra B(H) of all bounded linear operators on Hilbert space. More precisely, we show that ∥QT∥ = inf{2∥T −λI∥ : λ complex }. If T is normal, then ∥QT∥ can be specified in terms of the geometry of the spectrum of T. |
Mathematical Subject Classification
Primary: 46.65
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Milestones
Received: 2 September 1969
Revised: 15 December 1969
Published: 1 June 1970
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Authors |
| Joseph Gail Stampfli | |
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