Semi-groups of rank-preserving transformers on minimal norm ideals in $\mathcal {B} (\mathcal {H})$

E. Prugovečki; A. Tip

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Displaying similar documents to “Semi-groups of rank-preserving transformers on minimal norm ideals in $ℬ (ℋ)$ ”

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Compact AC-operators

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We prove that compact AC-operators have a representation as a combination of disjoint projections which mirrors that for compact normal operators. We also show that unlike arbitrary AC-operators, compact AC-operators admit a unique splitting into real and imaginary parts, and that these parts must necessarily be compact.