Hyponormal Operators

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

Chapter 7 in Hilbert Space Operators, 2003, pp 65-74 from Springer

Abstract: Abstract Take any operator Т on a Hilbert space H. Set $${{D}_{T}} = \left[ {T*,T} \right] = T*T - TT*$$ in B[H], which is always self-adjoint. This is called the self-commutator of T Recall that T is normal if it commutes with its adjoint. In other words, Tis normal if and only if $${{D}_{T}}T = 0.$$ .

Keywords: Hilbert Space; Probability Measure; Invariant Subspace; Direct Summand; Weight Sequence (search for similar items in EconPapers)
Date: 2003
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DOI: 10.1007/978-1-4612-2064-0_7

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