Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Bas Lemmens"'
Autor:
Bas Lemmens, Roger Nussbaum
In the past several decades the classical Perron–Frobenius theory for nonnegative matrices has been extended to obtain remarkably precise and beautiful results for classes of nonlinear maps. This nonlinear Perron–Frobenius theory has found signif
Autor:
Bas Lemmens
Publikováno v:
The Journal of Geometric Analysis. 32
We show that if$$Y_j\subset \mathbb {C}^{n_j}$$Yj⊂Cnjis a bounded strongly convex domain with$$C^3$$C3-boundary for$$j=1,\dots ,q$$j=1,⋯,q, and$$X_j\subset \mathbb {C}^{m_j}$$Xj⊂Cmjis a bounded convex domain for$$j=1,\ldots ,p$$j=1,…,p, then
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::64dec86a5a166613bcde520fb172b749
https://doi.org/10.1007/s12220-022-00893-4
https://doi.org/10.1007/s12220-022-00893-4
Publikováno v:
Canadian Journal of Mathematics. 73:399-416
A basic problem in the theory of partially ordered vector spaces is to characterise those cones on which every order-isomorphism is linear. We show that this is the case for every Archimedean cone that equals the inf-sup hull of the sum of its engage
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b589f0a78eb55b50c071e77c402f875
https://doi.org/10.4153/s0008414x1900066x
https://doi.org/10.4153/s0008414x1900066x
Autor:
Bas Lemmens, Kieran Power
Publikováno v:
arXiv.org
We study the global topology of the horofunction compactification of smooth manifolds with a Finsler distance. The main goal is to show, for certain classes of these spaces, that the horofunction compactification is naturally homeomorphic to the clos
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e84c9eab606ed4c2813af88a9ad6c2e
https://kar.kent.ac.uk/90294/1/horofunctionboundary_v3.pdf
https://kar.kent.ac.uk/90294/1/horofunctionboundary_v3.pdf
Publikováno v:
Journal of Differential Equations. 265:5709-5715
In this paper we prove a recent conjecture by M. Hirsch, which says that if $(f,\Omega)$ is a discrete time monotone dynamical system, with $f\colon \Omega\to\Omega$ a homeomorphism on an open connected subset of a finite dimensional vector space, an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eefef40d25b21b5295cf882f88f3f3ec
https://doi.org/10.1016/j.jde.2018.07.012
https://doi.org/10.1016/j.jde.2018.07.012
In this paper we extend results by De la Harpe concerning the isometries of strictly convex Hilbert geometries, and the characterisation of the isometry groups of Hilbert geometries on finite dimensional simplices, to infinite dimensions. The proofs
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::771d7f561beeb0ec6918ed5ef44420a7
https://hdl.handle.net/10394/32016
https://hdl.handle.net/10394/32016
Autor:
Mark Roelands, Bas Lemmens
Publikováno v:
Annales de l'Institut Fourier. 65:315-348
In this paper a geometric characterization of the unique geodesics in Thompson's metric spaces is presented. This characteriza- tion is used to prove a variety of other geometric results. Firstly, it will be shown that there exists a unique Thompson'
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cc23da19b63d60298ca85ee32a5375df
https://doi.org/10.5802/aif.2932
https://doi.org/10.5802/aif.2932
Publikováno v:
The Quarterly Journal of Mathematics, 68(3), 1001-1017. Oxford University Press (OUP)
The famous Koecher-Vinberg theorem characterizes the Euclidean Jordan algebras among the finite dimensional order unit spaces as the ones that have a symmetric cone. Recently Walsh gave an alternative characterization of the Euclidean Jordan algebras
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ca4202c05c3b3bae6e986a7c966d8ef3
https://doi.org/10.1093/qmath/hax010
https://doi.org/10.1093/qmath/hax010
ispartof: Linear Algebra and Its Applications vol:542 pages:1-3 status: published
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f90763a6ea7512b258fd4c4a154a9f4
https://lirias.kuleuven.be/handle/123456789/601599
https://lirias.kuleuven.be/handle/123456789/601599
Publikováno v:
Positivity. 18:201-218
We show that the Riesz completion of an Archimedean partially ordered vector space $$X$$ with unit can be represented as a norm dense Riesz subspace of the smallest functional representation of $$X.$$ This yields a convenient way to find the Riesz co
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e3d4e7a65ec760d7cad93a47a1e86bb3
https://doi.org/10.1007/s11117-013-0240-x
https://doi.org/10.1007/s11117-013-0240-x