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pro vyhledávání: '"van Gaans, Onno"'
Every atomic JBW-algebra is known to be a direct sum of JBW-algebra factors of type I. Extending Kadison's anti-lattice theorem, we show that each of these factors is a disjointness free anti-lattice. We characterise disjointness, bands, and disjoint
Externí odkaz:
http://arxiv.org/abs/2305.19086
Autor:
Zhang, Feng, van Gaans, Onno
In this paper, we provide a sublinear function $p$ on ordered Banach spaces, which depends on the order structure of the space. With respect to this $p$, we study the relation between $p$-contractivity of positive semigroups and the $p$-dissipativity
Externí odkaz:
http://arxiv.org/abs/2006.05636
Publikováno v:
Canad. J. Math. 73 (2021), no. 2, 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:
http://arxiv.org/abs/1904.06393
Autor:
van Gaans, Onno, Zhang, Feng
This paper concerns positive domination property of compact operators on pre-Riesz spaces. The method is embedding the pre-Riesz space to the Riesz completion. It extends the order continuous norms in pre-Riesz spaces to Riesz completions. The compac
Externí odkaz:
http://arxiv.org/abs/1809.05873
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:
http://arxiv.org/abs/1712.09223
Publikováno v:
QM - Quaestiones Mathematicae; Sep2024, Vol. 47 Issue 9, p1887-1911, 25p
We generalize results concerning $\mathrm{C}_0$-semigroups on Banach lattices to a setting of ordered Banach spaces. We prove that the generator of a disjointness preserving $\mathrm{C}_0$-semigroup is local. Some basic properties of local operators
Externí odkaz:
http://arxiv.org/abs/1611.01355
Akademický článek
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In an Archimedean directed partially ordered vector space $X$ one can define the concept of a band in terms of disjointness. Bands can be studied by using a vector lattice cover $Y$ of $X$. If $X$ has an order unit, $Y$ can be represented as $C(\Omeg
Externí odkaz:
http://arxiv.org/abs/1405.3844
Autor:
Bierkens, Joris, van Gaans, Onno
Using a multiplicative structure (for example that of a Banach algebra) and a partial order we construct a weak version of a Banach space valued stochastic integral with respect to square integrable martingales.
Externí odkaz:
http://arxiv.org/abs/0910.5363