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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S.C. Arora, Ramesh Kumar (1981)
Publications de l'Institut Mathématique
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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.
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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B. Stankovic, D. Nikolic-Despotovic (1972)
Publications de l'Institut Mathématique [Elektronische Ressource]
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Zenon J. Jabłoński, Il Bong Jung, Jan Stochel (2006)
Studia Mathematica
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The concept of k-step full backward extension for subnormal operators is adapted to the context of completely hyperexpansive operators. The question of existence of k-step full backward extension is solved within this class of operators with the help of an operator version of the Levy-Khinchin formula. Some new phenomena in comparison with subnormal operators are found and related classes of operators are discussed as well.
Luis Bernal-González (2007)
Studia Mathematica
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We introduce the concept of disjoint hypercyclic operators. These are operators performing the approximation of any given vectors with a common subsequence of iterates applied on a common vector. The notion is extended to sequences of operators, and applied to composition operators and differential operators on spaces of analytic functions.
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.
M. Budimčević, B. Stanković (1971)
Publications de l'Institut Mathématique
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M. R. Dostanić (1989)
Matematički Vesnik
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