Operators whose tensor powers are --continuous
Kamil John (1988)
Czechoslovak Mathematical Journal
Similarity:
Kamil John (1988)
Czechoslovak Mathematical Journal
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Ernst J. Albrecht, Florian-Horia Vasilescu (1974)
Czechoslovak Mathematical Journal
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Ryszard Płuciennik (1990)
Commentationes Mathematicae Universitatis Carolinae
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H. Fast, K. Urbanik (1961)
Studia Mathematica
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Ian Doust, Byron Walden (1996)
Studia 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.