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Paranormal Operators

Carlos S. Kubrusly
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Carlos S. Kubrusly: Catholic University of Rio de Janeiro

Chapter 9 in Hilbert Space Operators, 2003, pp 93-108 from Springer

Abstract: Abstract Let T be an operator on a Hilbert space H and consider its absolute value $$\left| T \right| = {{\left( {T*T} \right)}^{{\frac{1}{2}}}}$$ . Note that the self-commutator of T can be written as $${{D}_{T}} = T*T - TT* = {{\left| T \right|}^{2}} - {{\left| {T*} \right|}^{2}}$$

Date: 2003
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DOI: 10.1007/978-1-4612-2064-0_9

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