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.
I. B. Lazarević (1973)
Matematički Vesnik
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D. Przeworska-Rolewicz (1977)
Annales Polonici Mathematici
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Christian Hernández-Becerra, Benjamín A. Itzá-Ortiz (2016)
Open Mathematics
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We consider a class of tridiagonal operators induced by not necessary pseudoergodic biinfinite sequences. Using only elementary techniques we prove that the numerical range of such operators is contained in the convex hull of the union of the numerical ranges of the operators corresponding to the constant biinfinite sequences; whilst the other inclusion is shown to hold when the constant sequences belong to the subshift generated by the given biinfinite sequence. Applying recent results...
Abakumov, Yu.G., Zabelina, N.A., Shestakova, O.N. (2000)
Siberian Mathematical Journal
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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.
Bucur, Amelia (1999)
General Mathematics
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S.C. Arora, Ramesh Kumar (1981)
Publications de l'Institut Mathématique
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Naoki Tanaka (2001)
Studia Mathematica
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A class of evolution operators is introduced according to the device of Kato. An evolution operator introduced here provides a classical solution of the linear equation u'(t) = A(t)u(t) for t ∈ [0,T], in a general Banach space. The paper presents a necessary and sufficient condition for the existence and uniqueness of such an evolution operator.
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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Josef Malík (2004)
Applications of Mathematics
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A model of a cable stayed bridge is proposed. This model describes the behaviour of the center span, the part between pylons, hung on one row of cable stays. The existence, the uniqueness of a solution of a time independent problem and the continuous dependence on data are proved. The existence and the uniqueness of a solution of a linearized dynamic problem are proved. A homogenizing procedure making it possible to replace cables by a continuous system is proposed. A nonlinear dynamic...