Chaos and frequent hypercyclicity for weighted shifts
نویسندگان
چکیده
منابع مشابه
Hypercyclicity Criterion of Multiple Weighted Composition Operators
In this paper we give some sufficient conditions for the adjoint of the multiple weighted composition operators acting on some function spaces satisfying the Hypercyclicity Criterion. Mathematics Subject Classification: 47B37; 47B33
متن کاملTime shifts and correlations in synchronized chaos.
We introduce a new method for predicting characteristics of the synchronized state achieved by a wide class of unidirectional coupling schemes. Specifically, we derive a transfer function from the coupling model that provides estimates of the correlation between the drive and response waveforms, and of the time shift (i.e., lag or anticipation) of the synchronized state. To demonstrate the meth...
متن کاملVon Neumann’s Inequality for Commuting Weighted Shifts
We show that every multivariable contractive weighted shift dilates to a tuple of commuting unitaries, and hence satisfies von Neumann’s inequality. This answers a question of Lubin and Shields. We also exhibit a closely related 3-tuple of commuting contractions, similar to Parrott’s example, which does not dilate to a 3-tuple of commuting unitaries.
متن کاملSome necessary and sufficient conditions for Hypercyclicity
We give necessary and sufficient conditions for an operator on a separable Hilbert space to satisfy the hypercyclicity criterion.
متن کاملOn Polynomially Bounded Weighted Shifts
(1) ‖p(T )‖ ≤M sup{|p(ζ)| : |ζ| = 1} ∀ polynomial p, and to be power bounded (notation T ∈ (PW)) if (1) holds for every polynomial of the special form p(ζ) = ζ where n is a positive integer. If T ∈ (PB) [resp., T ∈ (PW)], then there is a smallest number M which satisfies (1) [resp., (1) restricted]. This number will be called the polynomial bound of T [resp., the power bound of T ] and denoted ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Ergodic Theory and Dynamical Systems
سال: 2020
ISSN: 0143-3857,1469-4417
DOI: 10.1017/etds.2020.122