Zobrazeno 1 - 10
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pro vyhledávání: '"Rosendal, Christian"'
Autor:
Rosendal, Christian
Publikováno v:
Comptes Rendus. Mathématique, Vol 361, Iss G10, Pp 1663-1672 (2023)
Under the weak assumption on a Banach space $E$ that $E\oplus E$ embeds isomorphically into $E$, we provide a characterisation of when a Banach space $X$ coarsely embeds into $E$ via a single numerical invariant.
Externí odkaz:
https://doaj.org/article/5529985d8c5b49eeb3ea691fdf13451a
Autor:
Rosendal, Christian, Zomback, Jenna
We define a notion of asymptotically spherical topological groups, which says that spheres of large radius with respect to any maximal length function are still spherical with respect to any other maximal length function. This is a strengthening of a
Externí odkaz:
http://arxiv.org/abs/2411.09061
A general overview of the phenomenon of automatic continuity of homomorphisms between Polish groups is given. In particular, we study variants and improvements of the closed graph theorem, applying these to the problem of continuity of universally me
Externí odkaz:
http://arxiv.org/abs/2406.12143
Using methods of descriptive set theory, in particular, the determinacy of infinite games of perfect information, we answer several questions from the literature regarding different notions of bases in Banach spaces and lattices. For the case of Bana
Externí odkaz:
http://arxiv.org/abs/2406.11223
We describe several ordinal indices that are capable of detecting, according to various metric notions of faithfulness, the embeddability between pairs of Polish spaces. These embeddability ranks are of theoretical interest but seem difficult to esti
Externí odkaz:
http://arxiv.org/abs/2305.13505
Autor:
Rosendal, Christian
We study the cohomology of isometric group actions on (super) reflexive Banach spaces with a focus on the relation between finite conjugacy classes and split exactness of cochain complexes. In particular, we show that, if a uniformly convex Banach mo
Externí odkaz:
http://arxiv.org/abs/2206.03558
Autor:
Rosendal, Christian
If $X$ is an almost transitive Banach space with amenable isometry group (for example, if $X=L^p([0,1])$ with $1\leqslant p<\infty$) and $X$ admits a uniformly continuous map $X\overset\phi\longrightarrow E$ into a Banach space $E$ satisfying $$\inf_
Externí odkaz:
http://arxiv.org/abs/2206.01893
Publikováno v:
In Expositiones Mathematicae May 2024 42(3)
Autor:
Rosendal, Christian1 (AUTHOR)
Publikováno v:
Bulletin (New Series) of the American Mathematical Society. Oct2023, Vol. 60 Issue 4, p539-568. 30p.
Publikováno v:
Pacific J. Math. 301 (2019) 31-54
Megrelishvili defines \emph{light groups} of isomorphisms of a Banach space as the groups on which the Weak and Strong Operator Topologies coincide, and proves that every bounded group of isomorphisms of Banach spaces with the Point of Continuity Pro
Externí odkaz:
http://arxiv.org/abs/1711.03482