排序方式: 共有41条查询结果,搜索用时 206 毫秒
1.
Mathematical Notes - 相似文献
2.
Stanislav Shkarin 《Israel Journal of Mathematics》2010,180(1):271-283
Let D be the differentiation operator Df = f′ acting on the Fréchet space H of all entire functions in one variable with the standard (compact-open) topology. It is known since the 1950’s that the set H(D) of hypercyclic vectors for the operator D is non-empty. We treat two questions raised by Aron, Conejero, Peris and Seoane-Sepúlveda whether the set H(D) contains (up to the zero function) a non-trivial subalgebra of H or an infinite-dimensional closed linear subspace of H. In the present article both questions are answered affirmatively. 相似文献
3.
Stanislav Shkarin 《Journal of Mathematical Analysis and Applications》2011,382(2):516-522
We show that for every supercyclic strongly continuous operator semigroup {Tt}t?0 acting on a complex F-space, every Tt with t>0 is supercyclic. Moreover, the set of supercyclic vectors of each Tt with t>0 is exactly the set of supercyclic vectors of the entire semigroup. 相似文献
4.
5.
The distribution of motifs in random hierarchical topological networks defined by nonsymmetric random block-hierarchical adjacency matrices, is constructed for the first time. According to the classification of U. Alon et al. of network superfamilies (Milo et al., 2004 [11]) by their motifs distributions, our artificial directed random hierarchical networks fall into the superfamily of natural networks to which the neuron networks belong. This is the first example of a class of “handmade” topological networks with the motifs distribution as in a special class of natural networks of essential biological importance. 相似文献
6.
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
7.
Stanislav Shkarin 《Integral Equations and Operator Theory》2010,68(2):229-241
We prove that any bounded linear operator on L
p
[0, 1] for 1 ≤ p < ∞, commuting with the Volterra operator V, is not weakly supercyclic, which answers affirmatively a question raised by Léon-Saavedra and Piqueras-Lerena. It is achieved
by providing an algebraic type condition on an operator which prevents it from being weakly supercyclic and is satisfied for
any operator commuting with V. 相似文献
8.
We construct a bounded linear operator on a separable, reflexive and strictly convex Banach space with the resolvent norm
that is constant in a neighbourhood of zero.
相似文献
9.
Translated from Matematicheskie Zametki, Vol. 44, No. 5, pp. 567–583, November, 1988. 相似文献
10.
Romshin A. M. Kudryavtsev O. S. Ekimov E. A. Shkarin A. B. Rattenbacher D. Rakhlin M. V. Toropov A. A. Vlasov I. I. 《JETP Letters》2020,112(1):13-16
JETP Letters - Silicon-vacancy (SiV) color centers in diamond offer a promising system for quantum information applications owing to their intense narrowband emission and optically detectable spin... 相似文献