排序方式: 共有49条查询结果,搜索用时 203 毫秒
1.
This paper is concerned with a class of nonlinear delay partial difference equations with variable coefficients, which may
change sign. By making use of frequency measures, some new oscillatory criteria are established. This is the first time oscillation
of these partial difference equations is discussed by employing frequency measures.
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We give a probabilistic construction of frequently hypercyclic or universal entire functions using Birkhoff?s ergodic Theorem. We apply the same ideas to construct random frequently universal vectors for the polynomials of the weighted backward shift on the classical real or complex ?p space. 相似文献
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In this note, we show that every infinite-dimensional separable Fréchet space admitting a continuous norm supports an operator for which there is an infinite-dimensional closed subspace consisting, except for zero, of hypercyclic vectors. The family of such operators is even dense in the space of bounded operators when endowed with the strong operator topology. This completes the earlier work of several authors.
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Héctor N. Salas 《Journal of Mathematical Analysis and Applications》2011,374(1):106-117
Let E be a separable Fréchet space. The operators T1,…,Tm are disjoint hypercyclic if there exists x∈E such that the orbit of (x,…,x) under (T1,…,Tm) is dense in E×?×E. We show that every separable Banach space E admits an m-tuple of bounded linear operators which are disjoint hypercyclic. If, in addition, its dual E∗ is separable, then they can be constructed such that are also disjoint hypercyclic. 相似文献
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In this paper we study some properties of a totally *-paranormal operator (defined below) on Hilbert space. In particular,
we characterize a totally *-paranormal operator. Also we show that Weyl’s theorem and the spectral mapping theorem hold for
totally *-paranormal operators through the local spectral theory. Finally, we show that every totally *-paranormal operator
satisfies an analogue of the single valued extension property for W
2(D, H) and some of totally *-paranormal operators have scalar extensions. 相似文献
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Stanislav Shkarin 《Journal of Mathematical Analysis and Applications》2010,367(2):713-856
We give a short proof of existence of disjoint hypercyclic tuples of operators of any given length on any separable infinite dimensional Fréchet space. Similar argument provides disjoint dual hypercyclic tuples of operators of any length on any infinite dimensional Banach space with separable dual. 相似文献
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This article is a collection of remarks about the three ingredients – transitivity, denseness of periodic points and sensitivity – in one of the definitions of chaos in topological dynamics. 相似文献
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Xiaohong Cao 《Proceedings of the American Mathematical Society》2007,135(6):1701-1708
In this note, the relation between hypercyclic operator matrices (or supercyclic operator matrices) and the operator matrices which satisfy Weyl type theorems is discussed. Also, using a variant of the essential approximate point spectrum, we give the necessary and sufficient conditions for for which a-Browder's theorem or a-Weyl's theorem holds.
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Bahmann YOUSEFI 《数学研究及应用》2012,32(5):554-560
In this paper,we characterize conditions under which a tuple of bounded linear operators is topologically mixing.Also,we give conditions for a tuple to be hereditarily hypercyclic with respect to a tuple of syndetic sequences. 相似文献