On differential operators with integral conditions.
Galakhov, E. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Galakhov, E. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Ryotaro Sato (1976)
Colloquium Mathematicae
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Ryotaro Sato (1976)
Colloquium Mathematicae
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Beatriz Margolis (1972)
Annales Polonici Mathematici
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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.
C. Benhida, E. H. Zerouali (2009)
Studia Mathematica
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Let R and S be two operators on a Hilbert space. We discuss the link between the subscalarity of RS and SR. As an application, we show that backward Aluthge iterates of hyponormal operators and p-quasihyponormal operators are subscalar.
S.C. Arora, Ramesh Kumar (1981)
Publications de l'Institut Mathématique
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D. Przeworska-Rolewicz (1977)
Annales Polonici Mathematici
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Miroslav Sova (1982)
Časopis pro pěstování matematiky
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K. Chandrasekhara Rao (1979)
Matematički Vesnik
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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.
B. Stankovic, D. Nikolic-Despotovic (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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M. R. Dostanić (1989)
Matematički Vesnik
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Sameer Chavan (2008)
Studia Mathematica
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We introduce and discuss a class of operators, to be referred to as operators close to isometries. The Bergman-type operators, 2-hyperexpansions, expansive p-isometries, and certain alternating hyperexpansions are main examples of such operators. We establish a few decomposition theorems for operators close to isometries. Applications are given to the theory of p-isometries and of hyperexpansive operators.