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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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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Chun Guang Li, Ting Ting Zhou (2014)
Studia Mathematica
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A bounded linear operator T acting on a Hilbert space is said to be polaroid if each isolated point in the spectrum is a pole of the resolvent of T. There are several generalizations of the polaroid property. We investigate compact perturbations of polaroid type operators. We prove that, given an operator T and ε > 0, there exists a compact operator K with ||K|| < ε such that T + K is polaroid. Moreover, we characterize those operators for which a certain polaroid type property...
Miroslav Sova (1982)
Časopis pro pěstování matematiky
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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.
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.
K. Chandrasekhara Rao (1979)
Matematički Vesnik
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Mecheri, Salah (2005)
Revista Colombiana de Matemáticas
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