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pro vyhledávání: '"Todorčević, S."'
We study the dynamics of the group of isometries of $L_p$-spaces. In particular, we study the canonical actions of these groups on the space of $\delta$-isometric embeddings of finite dimensional subspaces of $L_p(0,1)$ into itself, and we show that
Externí odkaz:
http://arxiv.org/abs/1903.05504
Publikováno v:
In Topology and its Applications October 2021
Publikováno v:
In Advances in Mathematics 5 August 2020 369
Autor:
Lopez-Abad, J., Todorcevic, S.
We prove that, unless assuming additional set theoretical axioms, there are no reflexive space without unconditional sequences of density the continuum. We give for every integer $n$ there are normalized weakly-null sequences of length $\om_n$ withou
Externí odkaz:
http://arxiv.org/abs/1111.5150
Autor:
Abad, Jordi Lopez, Todorcevic, S.
Two applications of Nash-Williams' theory of barriers to sequences on Banach spaces are presented: The first one is the $c_0$-saturation of $C(K)$, $K$ countable compacta. The second one is the construction of weakly-null sequences generalizing the e
Externí odkaz:
http://arxiv.org/abs/math/0510407
Publikováno v:
In Advances in Mathematics 20 August 2018 334:322-388
We construct a family $(\mathcal{X}_\al)_{\al\le \omega_1}$ of reflexive Banach spaces with long transfinite bases but with no unconditional basic sequences. In our spaces $\mathcal{X}_\al$ every bounded operator $T$ is split into its diagonal part $
Externí odkaz:
http://arxiv.org/abs/math/0312522
Publikováno v:
Geom. Funct. Anal. 15 (2005), 106-189.
We study in this paper some connections between the Fraisse theory of amalgamation classes and ultrahomogeneous structures, Ramsey theory, and topological dynamics of automorphism groups of countable structures.
Comment: 73 pages, LaTeX 2e, to a
Comment: 73 pages, LaTeX 2e, to a
Externí odkaz:
http://arxiv.org/abs/math/0305241
Publikováno v:
In Topology and its Applications November 2015 195:284-296
Autor:
Todorčević, S., Uzcátegui, C.
Publikováno v:
In Topology and its Applications 1 April 2014 166:85-91