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- W2135089788 abstract "An operator T on a complex Hilbert space is d -symmetric if , where is the uniform closure of the range of the derivation operator δ T ( X )= TX − XT . It is shown that if the commutator ideal of the inclusion algebra for a d -symmetric operator is the ideal of all compact operators then T has countable spectrum and T is a quasidiagonal operator. It is also shown that if for a d -symmetric operator I ( T ) is the double commutant of T then T is diagonal." @default.
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- W2135089788 date "1981-06-01" @default.
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- W2135089788 title "A note on <i>d</i>-symmetric operators" @default.
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- W2135089788 doi "https://doi.org/10.1017/s0004972700007334" @default.
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