On Hille's spectral theory and operational calculus for semi-groups of operators in Hilbert space
Ciprian Foiaş (1959-1960)
Compositio Mathematica
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Ciprian Foiaş (1959-1960)
Compositio Mathematica
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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.
Che-Kao Fong (1979)
Studia Mathematica
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