Results 31 to 40 of about 592 (143)

Analytic Automorphisms and Transitivity of Analytic Mappings

Mathematics, 2020
In this paper, we investigate analytic automorphisms of complex topological vector spaces and their applications to linear and nonlinear transitive operators.
Zoriana Novosad, Andriy Zagorodnyuk
doaj   +1 more source

Generalized Asymptotically Almost Periodic and Generalized Asymptotically Almost Automorphic Solutions of Abstract Multiterm Fractional Differential Inclusions

Abstract and Applied Analysis, Volume 2018, Issue 1, 2018., 2018
The main aim of this paper is to investigate generalized asymptotical almost periodicity and generalized asymptotical almost automorphy of solutions to a class of abstract (semilinear) multiterm fractional differential inclusions with Caputo derivatives. We illustrate our abstract results with several examples and possible applications.
G. M. N’Guérékata, Marko Kostić, Khalil Ezzinbi   +2 more
wiley   +1 more source

Supercyclic Weighted Translations on Quotient Spaces

Axioms
In this note, we give the sufficient and necessary condition for weighted translations on the Orlicz spaces of quotient spaces to be supercyclic. By applying this characterization of supercyclicity, the descriptions of hypercyclicity, topological mixing ...
AliReza Bagheri Salec, Chung-Chuan Chen, Seyyed Mohammad Tabatabaie, Zahra Saeed Abdulazeez Alfaikhrani   +3 more
doaj   +1 more source

S‐Mixing Tuple of Operators on Banach Spaces

Journal of Function Spaces, Volume 2016, Issue 1, 2016., 2016
We consider the question: what is the appropriate formulation of Godefroy‐Shapiro criterion for tuples of operators? We also introduce a new notion about tuples of operators, S‐mixing, which lies between mixing and weakly mixing. We also obtain a sufficient condition to ensure a tuple of operators to be S‐mixing.
Wei Wang, Yonglu Shu, Xingzhong Wang, Enrique Llorens-Fuster   +3 more
wiley   +1 more source

The information capacity of hypercycles [PDF]

Journal of Theoretical Biology, 2008
Hypercycles are information integration systems which are thought to overcome the information crisis of prebiotic evolution by ensuring the coexistence of several short templates. For imperfect template replication, we derive a simple expression for the maximum number of distinct templates $n_m$ that can coexist in a hypercycle and show that it is a ...
Silvestre, Daniel A. M. M., Fontanari, José F.   +1 more
openaire   +4 more sources

Hypercyclic Behavior of Translation Operators on Spaces of Analytic Functions on Hilbert Spaces

Journal of Function Spaces, Volume 2015, Issue 1, 2015., 2015
We consider special Hilbert spaces of analytic functions of many infinite variables and examine composition operators on these spaces. In particular, we prove that under some conditions a translation operator is bounded and hypercyclic.
Zoryana Mozhyrovska, Andriy V. Zagorodnyuk, Eva A. Gallardo Gutiérrez   +2 more
wiley   +1 more source

Frequently hypercyclic operators [PDF]

Transactions of the American Mathematical Society, 2006
We investigate the subject of linear dynamics by studying the notion of frequent hypercyclicity for bounded operators T T ...
Bayart, Frédéric, Grivaux, Sophie
openaire   +2 more sources

Chaos for Cosine Operator Functions on Groups

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
Let 1 ≤ p < ∞ and G be a locally compact group. We characterize chaotic cosine operator functions, generated by weighted translations on the Lebesgue space Lp(G), in terms of the weight condition. In particular, chaotic cosine operator functions and chaotic weighted translations can only occur simultaneously.
Chung-Chuan Chen, Wei-Shih Du
wiley   +1 more source

Plank theorems and their applications: A survey

Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.
Abstract Plank problems concern the covering of convex bodies by planks in Euclidean space and are related to famous open problems in convex geometry. In this survey, we introduce plank problems and present surprising applications of plank theorems in various areas of mathematics.
William Verreault
wiley   +1 more source

δ‐Almost Periodic Vectors for Bounded Linear Operators: Geometric and Dynamical Structure

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
We introduce δ‐almost periodic vectors for bounded linear operators on Banach spaces, defined by uniform recurrence to the base point within a fixed tolerance δ ≥ 0. This yields a quantitative relaxation of the case δ = 0. We develop basic structural properties of the classes APδ(T), including monotonicity in δ, positive homogeneity, forward invariance
Hadi Obaid Alshammari, Otmane Benchiheb, Marko Kostic   +2 more
wiley   +1 more source