Results 71 to 80 of about 43,621 (220)

Hypercyclic operators on topological vector spaces

, 2010
Bonet, Frerick, Peris and Wengenroth constructed a hypercyclic operator on the locally convex direct sum of countably many copies of the Banach space $\ell_1$. We extend this result.
Shkarin, Stanislav
core   +1 more source

First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet

Communications on Pure and Applied Mathematics, Volume 78, Issue 9, Page 1523-1608, September 2025.
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley   +1 more source

Bornological Locally Convex Cones

Le Matematiche, 2014
In this paper we define bornological and b-bornological cones and investigate their properties. We give some characterization for these cones. In the special case of locally convex topological vector space both these concepts reduce to the known concept 
Davood Ayaseh, Asghar Ranjbari
doaj  

Closed graph theorems for bornological spaces

, 2015
The aim of this paper is that of discussing Closed Graph Theorems for bornological vector spaces in a way which is accessible to non-experts. We will see how to easily adapt classical arguments of functional analysis over $\mathbb{R}$ and $\mathbb{C}$ to
Bambozzi, Federico
core   +1 more source

Overview of (pro-)Lie group structures on Hopf algebra character groups

, 2017
Character groups of Hopf algebras appear in a variety of mathematical and physical contexts. To name just a few, they arise in non-commutative geometry, renormalisation of quantum field theory, and numerical analysis.
A Connes, A Murua, A Murua, A Murua, Andreas Kriegl, C Brouder, Dominique Manchon, E Hairer, Fernando Casas, G Bogfjellmo, G Bogfjellmo, H Alzaareer, H Glöckner, H Glöckner, H Glöckner, H Glöckner, H Yamabe, Hans Heinrich Keller, Helge Glöckner, Helge Glöckner, Helmut H. Schaefer, HZ Munthe-Kaas, HZ Munthe-Kaas, JC Butcher, JC Butcher, JW Milnor, K Ebrahimi-Fard, K Ebrahimi-Fard, K Ebrahimi-Fard, K Floret, K-H Neeb, Karl-Goswin Grosse-Erdmann, KH Hofmann, KH Hofmann, P Chartier, P Chartier, P Chartier, R Arens, R Dahmen, R Dahmen, Richard S. Hamilton, S Majid, W Bertram, Walter Michaelis, WD Suijlekom van, WD Suijlekom van, William C. Waterhouse, WS Gray   +47 more
core   +1 more source

Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds

Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2571-2629, September 2025.
Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
wiley   +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

Taking limits in topological recursion

Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
Abstract When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectral curve changes at the limit point. We provide sufficient (straightforward‐to‐use) conditions for checking when the commutation with limits holds, thereby closing a ...
Gaëtan Borot, Vincent Bouchard, Nitin Kumar Chidambaram, Reinier Kramer, Sergey Shadrin   +4 more
wiley   +1 more source

Continuity of LF-algebra representations associated to representations of Lie groups

, 2012
Let G be a Lie group and E be a locally convex topological G-module. If E is sequentially complete, then E and its space of smooth vectors are modules for the algebra D(G) of compactly supported smooth functions on G. However, the module multiplication
Glockner, Helge
core   +1 more source

A lower bound on volumes of end‐periodic mapping tori

Journal of Topology, Volume 18, Issue 3, September 2025.
Abstract We provide a lower bound on the volume of the compactified mapping torus of a strongly irreducible end‐periodic homeomorphism f:S→S$f: S \rightarrow S$. This result, together with work of Field, Kim, Leininger, and Loving [J. Topol. 16 (2023), no.
Elizabeth Field, Autumn Kent, Christopher Leininger, Marissa Loving   +3 more
wiley   +1 more source