On operators preserving a conjugate space
D. Przeworska-Rolewicz, S. Rolewicz (1965)
Studia Mathematica
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D. Przeworska-Rolewicz, S. Rolewicz (1965)
Studia Mathematica
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D. Przeworska-Rolewicz, S. Rolewicz (1964)
Studia Mathematica
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Abdelkader Benali, Mohammed Hichem Mortad (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
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We are mainly concerned with the result of Kaplansky on the composition of two normal operators in the case in which at least one of the operators is unbounded.
D. Przeworska-Rolewicz (1977)
Annales Polonici Mathematici
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D. Przeworska-Rolewicz, S. Rolewicz (1965)
Studia Mathematica
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Jaroslav Zemánek (2007)
Banach Center Publications
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John B. Conway, Gabriel Prǎjiturǎ (2005)
Studia Mathematica
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For a scalar λ, two operators T and S are said to λ-commute if TS = λST. In this note we explore the pervasiveness of the operators that λ-commute with a compact operator by characterizing the closure and the interior of the set of operators with this property.