Integrated semigroups of unbounded linear operators -- Cauchy problem. II.
Kravarušić, Ratko, Mijatović, Milorad, Pilipović, Stevan (1998)
Novi Sad Journal of Mathematics
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Kravarušić, Ratko, Mijatović, Milorad, Pilipović, Stevan (1998)
Novi Sad Journal of Mathematics
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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.
Miroslav Sova (1982)
Časopis pro pěstování matematiky
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Piotr Budzyński, Jan Stochel (2009)
Studia Mathematica
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In the previous paper, we have characterized (joint) subnormality of a C₀-semigroup of composition operators on L²-space by positive definiteness of the Radon-Nikodym derivatives attached to it at each rational point. In the present paper, we show that in the case of C₀-groups of composition operators on L²-space the positive definiteness requirement can be replaced by a kind of consistency condition which seems to be simpler to work with. It turns out that the consistency condition...
Gogodze, Ioseb K., Gelashvili, Koba N. (1997)
Memoirs on Differential Equations and Mathematical Physics
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Beatriz Margolis (1972)
Annales Polonici Mathematici
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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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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.
Markin, Marat V. (2002)
International Journal of Mathematics and Mathematical Sciences
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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.
D. Przeworska-Rolewicz (1977)
Annales Polonici Mathematici
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M. R. Dostanić (1989)
Matematički Vesnik
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