Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Jean Saint-Raymond"'
Autor:
Jean Saint Raymond, Gabriel Debs
Publikováno v:
Proceedings of the American Mathematical Society. 148:859-873
Extending a result of A. Kechris we prove that under suitable assumptions on the class Γ \mathbf {\Gamma } of Borel sets, in particular when Γ \mathbf {\Gamma } is a Baire class, if any ⅁ Γ \Game \mathbf {\Gamma } set is reducible to some ⅁ Γ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::665b1b75af7a78b01534c81f088e6f20
https://doi.org/10.1090/proc/14731
https://doi.org/10.1090/proc/14731
Autor:
Jean Saint Raymond
Publikováno v:
Le Matematiche, Vol 52, Iss 1, Pp 149-157 (1997)
In this paper we generalize a theorem of Lax-Milgram.
Externí odkaz:
https://doaj.org/article/40d14da0c8ad4d278b27f550cd16cfa8
Autor:
Jean Saint-Raymond, Gilles Godefroy
Publikováno v:
Journal of Functional Analysis. 275:1008-1022
We present a topological frame in which it is possible to estimate the complexity of some Borel families of separable Banach spaces. We use this frame for evaluating the complexity of the isomorphism class of the Hilbert space l 2 , of certain asympt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::37767ae6fa8b5536ff6244bdbf33b2a8
https://doi.org/10.1016/j.jfa.2018.01.018
https://doi.org/10.1016/j.jfa.2018.01.018
Autor:
Jean Saint Raymond
Publikováno v:
Journal of Functional Analysis. 272:3825-3844
A Banach space X is said to have the dual Kadec–Klee property iff on the unit sphere of the dual space X⁎ the weak*-topology coincides with the norm-topology. A. Amini-Harandi and M. Fakhar extended a theorem of B. Ricceri concerning the Kadec–
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a2cdea0c96a9b6cb39b1e425d254c9e7
https://doi.org/10.1016/j.jfa.2016.12.016
https://doi.org/10.1016/j.jfa.2016.12.016
Autor:
Jean Saint Raymond, Gabriel Debs
Publikováno v:
Fundamenta Mathematicae
Fundamenta Mathematicae, Instytut Matematyczny, Polskiej Akademii Nauk, 2020, 249 (3), pp.261-286. ⟨10.4064/fm754-7-2019⟩
Fundamenta Mathematicae, Instytut Matematyczny, Polskiej Akademii Nauk, 2020, 249 (3), pp.261-286. ⟨10.4064/fm754-7-2019⟩
International audience; We investigate the descriptive complexity of connectedness (pathwise connectedness, local connectedness) of Polish spaces, and prove that even in the frame of finite dimensional euclidean spaces this complexity can be as high
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a81e4cae7077c5f1501c9abda3ec602f
https://hal.sorbonne-universite.fr/hal-02955782/document
https://hal.sorbonne-universite.fr/hal-02955782/document
Autor:
Gabriel Debs, Jean Saint-Raymond
Publikováno v:
The Journal of Symbolic Logic
The Journal of Symbolic Logic, Association for Symbolic Logic, 2019, 84 (3), pp.1224-1239. ⟨10.1017/jsl.2019.40⟩
The Journal of Symbolic Logic, Association for Symbolic Logic, 2019, 84 (3), pp.1224-1239. ⟨10.1017/jsl.2019.40⟩
We study the behavior of the game operator $$ on Wadge classes of Borel sets. In particular we prove that the classical Moschovakis results still hold in this setting. We also characterize Wadge classes ${\bf{\Gamma }}$ for which the class has the su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::808d8fb01b00794819ee41680d605525
https://hal.sorbonne-universite.fr/hal-02421644
https://hal.sorbonne-universite.fr/hal-02421644
Autor:
Jean Saint Raymond
Publikováno v:
Journal of Functional Analysis. 266:5429-5438
Let X be a reflexive Banach space which does not have the Kadec–Klee property. Then there exists a compact mapping f from the unit ball B X of X to the dual space X ⁎ such that inf x ∈ B X ‖ f ( x ) ‖ > 0 and 〈 f ( x ) , x 〉 ‖ f ( x )
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d3591b92c146d36064a893eee0cb675f
https://doi.org/10.1016/j.jfa.2013.11.023
https://doi.org/10.1016/j.jfa.2013.11.023
Autor:
Gabriel Debs, Jean Saint Raymond
Publikováno v:
Topology and its Applications. 159:2205-2227
For all m ⩾ 1 let N m be the filter on ω m obtained from the Frechet filter on ω by iterating the Fubini product operation. One easily checks that N m is a Σ 2 m 0 subset of P ( ω m ) and the main result of this work states that in any Π 2 m 0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd116511d7df6b7824ad8458608d5d75
https://doi.org/10.1016/j.topol.2012.03.004
https://doi.org/10.1016/j.topol.2012.03.004
Autor:
Gabriel Debs, Jean Saint Raymond
Publikováno v:
Transactions of the American Mathematical Society. 361:2831-2869
Given a countable family ( Γ i ) i ∈ I (\mathbf {\Gamma }_i)_{i\in I} of additive or multiplicative Baire classes ( Γ i = Σ ξ i 0 \mathbf {\Gamma }_i=\mathbf {\Sigma }^0_{\xi _i} or Π ξ i 0 \mathbf {\Pi }^0_{\xi _i} ) we investigate the follo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ff6bb18d9ea051945164abd129cfd556
https://doi.org/10.1090/s0002-9947-09-04930-7
https://doi.org/10.1090/s0002-9947-09-04930-7
Autor:
Gabriel Debs, Jean Saint Raymond
Publikováno v:
Fundamenta Mathematicae. 204:189-213
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a59710d2054521c52edf7ed8cff1ab07
https://doi.org/10.4064/fm204-3-1
https://doi.org/10.4064/fm204-3-1