Results 61 to 70 of about 1,147,699 (174)

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

Powers of Convex‐Cyclic Operators

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
A bounded operator T on a Banach space X is convex cyclic if there exists a vector x such that the convex hull generated by the orbit Tnxn≥0 is dense in X. In this note we study some questions concerned with convex‐cyclic operators. We provide an example of a convex‐cyclic operator T such that the power Tn fails to be convex cyclic.
Fernando León-Saavedra, María del Pilar Romero-de la Rosa, Manuel Maestre   +2 more
wiley   +1 more source

Some Results on Subspace Cesaro-Hypercyclic Operators

International Journal of Analysis and Applications
In this paper we characterize the notion of subspace Cesaro-hypercyclic. At the same time, we also provide a Subspace Cesaro-hypercyclic Criterion and offer an equivalent conditions of this criterion.
Mohammed El Berrag
semanticscholar   +1 more source

Hypercyclic subspaces for sequences of finite order differential operators [PDF]

Journal of Mathematical Analysis and Applications
It is proved that, if $(P_n)$ is a sequence of polynomials with complex coefficients having unbounded valences and tending to infinity at sufficiently many points, then there is an infinite dimensional closed subspace of entire functions, as well a dense
L. BERNAL-GONZ´ALEZ, M.C, J. CALDER´ON-MORENO, L´OPEZ-SALAZAR J.A, PRADO-BASSAS   +4 more
semanticscholar   +1 more source

INVERSE OF FREQUENTLY HYPERCYCLIC OPERATORS [PDF]

Journal of the Institute of Mathematics of Jussieu, 2019
We show that there exists an invertible frequently hypercyclic operator on $\ell ^1(\mathbb {N})$ whose inverse is not frequently hypercyclic.
Q. Menet
semanticscholar   +1 more source

Interactions between universal composition operators and complex dynamics

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract This paper is concerned with universality properties of composition operators Cf$C_f$, where the symbol f$f$ is given by a transcendental entire function restricted to parts of its Fatou set. We determine universality of Cf$C_f$ when f$f$ is restricted to (subsets of) Baker and wandering domains.
Vasiliki Evdoridou, Clifford Gilmore, Myrto Manolaki   +2 more
wiley   +1 more source

On subspace-diskcyclicity

Arab Journal of Mathematical Sciences, 2017
In this paper, we define and study subspace-diskcyclic operators. We show that subspace-diskcyclicity does not imply diskcyclicity. We establish a subspace-diskcyclic criterion and use it to find a subspace-diskcyclic operator that is not subspace ...
Nareen Bamerni, Adem Kılıçman
doaj   +1 more source

Advanced Extensions and Applications of Transitivity and Mixing in Set‐Valued Dynamics With Numerical Simulations and Visual Insights

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This article extends Alfredo Peris’s work on chaos in set‐valued dynamics by providing new characterizations and applications of transitivity and mixing properties. Peris demonstrated that the topological transitivity of a set‐valued map is closely related to the weak mixing property of the individual map.
Illych Alvarez, Mehmet Ünver
wiley   +1 more source

On locally finite groups whose derived subgroup is locally nilpotent

Mathematische Nachrichten, Volume 297, Issue 12, Page 4389-4400, December 2024.
Abstract A celebrated theorem of Helmut Wielandt shows that the nilpotent residual of the subgroup generated by two subnormal subgroups of a finite group is the subgroup generated by the nilpotent residuals of the subgroups. This result has been extended to saturated formations in Ballester‐Bolinches, Ezquerro, and Pedreza‐Aguilera [Math. Nachr.
Marco Trombetti
wiley   +1 more source

Notes about Quasi-Mixing Operators [PDF]

Sahand Communications in Mathematical Analysis
In this article, we introduce quasi-mixing operators and construct various examples. We prove that quasi-mixing operators exist on all finite-dimensional and infinite-dimensional  Banach spaces.
Mansooreh Moosapoor, Ismail Nikoufar
doaj   +1 more source