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2
Academic Journal
Continuity of coordinate functionals of filter bases in Banach spaces

Authors: de Rancourt, Noé, Kania, Tomasz, Swaczyna, Jarosław

Contributors: Laboratoire Paul Painlevé - UMR 8524 (LPP), Université de Lille-Centre National de la Recherche Scientifique (CNRS), Univerzita Karlova Praha, Česká republika = Charles University Prague, Czech Republic (UK), Faculty of Mathematics and Computer Science of the Jagiellonian University, Uniwersytet Jagielloński w Krakowie = Jagiellonian University (UJ), Institute of Mathematics of the Czech Academy of Science (IM / CAS), Czech Academy of Sciences Prague (CAS), Łódź University of Technology, Kania & Swaczyna : bourse GAČR 19-07129Y et financement RVO 67985840.

Superior Title: ISSN: 0022-1236.

Subject Terms: Filter bases in Banach spaces, Generalised bases, Automatic continuity, Definable filters, MSC : primaires 46B15, 46B20, 54A20, secondaire 03E15, [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2203.15123; hal-04406995; https://hal.science/hal-04406995; https://hal.science/hal-04406995/document; https://hal.science/hal-04406995/file/Upgrade_BLMS.pdf; ARXIV: 2203.15123

Availability: https://doi.org/10.1016/j.jfa.2023.109869
https://hal.science/hal-04406995
https://hal.science/hal-04406995/document
https://hal.science/hal-04406995/file/Upgrade_BLMS.pdf

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3
Academic Journal
Local Banach-space dichotomies and ergodic spaces

Authors: Cuellar Carrera, Wilson, de Rancourt, Noé, Ferenczi, Valentin

Contributors: Universidade de São Paulo = University of São Paulo (USP), Laboratoire Paul Painlevé - UMR 8524 (LPP), Université de Lille-Centre National de la Recherche Scientifique (CNRS), Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG (UMR_7586)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Univerzita Karlova Praha, Česká republika = Charles University Prague, Czech Republic (UK), Universität Wien = University of Vienna, Département de Mathématiques et Applications - ENS Paris (DMA), École normale supérieure - Paris (ENS-PSL), Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Cuellar Carrera : Bourses FAPESP (2018/18593-1), (2019/23669-0) et (2016/25574-8)., de Rancourt : Bourse FWF P29999, bourse commune FWF–GACR n°17-33849L, et bourse USP-COFECUB 31466UC., Ferenczi : Bourses CNPq (303034/2015-7) et (303721/2019-2), bourse FAPESP (2016/25574-8), et bourse USP-COFECUB 31466UC.

Superior Title: ISSN: 1435-9855.

Subject Terms: Ergodic Banach spaces, Ramsey theory, Banach-space dichotomies, Non-Hilbertian spaces, Minimal Banach spaces, Hereditarily indecomposable Banach spaces, MSC (2020) : primaire 46B20, secondaire 46B03, 03E15, 03E60, 05D10, [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA], [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO], [MATH.MATH-LO]Mathematics [math]/Logic [math.LO]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/2005.06458; hal-04406829; https://hal.science/hal-04406829; https://hal.science/hal-04406829/document; https://hal.science/hal-04406829/file/2005.06458.pdf; ARXIV: 2005.06458

Availability: https://doi.org/10.4171/JEMS/1257
https://hal.science/hal-04406829
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https://hal.science/hal-04406829/file/2005.06458.pdf

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4
Academic Journal
Spectral-free methods in the theory of hereditarily indecomposable Banach spaces

Authors: de Rancourt, Noé

Contributors: Laboratoire Paul Painlevé - UMR 8524 (LPP), Université de Lille-Centre National de la Recherche Scientifique (CNRS), Universität Wien = University of Vienna, Univerzita Karlova Praha, Česká republika = Charles University Prague, Czech Republic (UK), Institut de Mathématiques de Jussieu - Paris Rive Gauche (IMJ-PRG (UMR_7586)), Sorbonne Université (SU)-Centre National de la Recherche Scientifique (CNRS)-Université Paris Cité (UPCité), Département de Mathématiques et Applications - ENS Paris (DMA), École normale supérieure - Paris (ENS-PSL), Université Paris Sciences et Lettres (PSL)-Université Paris Sciences et Lettres (PSL)-Centre National de la Recherche Scientifique (CNRS), Bourse commune FWF–GACR n°17-33849L : Filters, Ultrafilters and Connections with Forcing., Bourse FWF P29999 : Analytic Structures

Superior Title: ISSN: 1370-1444 ; Bulletin of the Belgian Mathematical Society - Simon Stevin ; https://hal.science/hal-04406804 ; Bulletin of the Belgian Mathematical Society - Simon Stevin, 2020, 27 (5), pp.775-787. ⟨10.36045/j.bbms.200123⟩ ; https://projecteuclid.org/journals/bulletin-of-the-belgian-mathematical-society-simon-stevin/volume-27/issue-5/Spectral-free-methods-in-the-theory-of-hereditarily-indecomposable-Banach/10.36045/j.bbms.200123.short.

Subject Terms: Hereditarily indecomposable Banach spaces, Fredholm theory, Isometrically homogeneous Banach spaces, Connectedness of general linear groups, MSC (2020) : primaire : 46B20, secondaire : 46B03, 46B04, 46B28, 47A53, [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/1909.12813; hal-04406804; https://hal.science/hal-04406804; https://hal.science/hal-04406804/document; https://hal.science/hal-04406804/file/HI.pdf; ARXIV: 1909.12813

Availability: https://doi.org/10.36045/j.bbms.20012310.36045/j.bbms.200123.short
https://hal.science/hal-04406804
https://hal.science/hal-04406804/document
https://hal.science/hal-04406804/file/HI.pdf

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6
Academic Journal
Light groups of isomorphisms of Banach spaces and invariant LUR renormings

Authors: Antunes, Leandro, Ferenczi, Valentin, Grivaux, Sophie, Rosendal, Christian

Contributors: Laboratoire Paul Painlevé - UMR 8524 (LPP), Université de Lille-Centre National de la Recherche Scientifique (CNRS), ANR-17-CE40-0021,FRONT2017,Frontières de la théorie des opérateurs(2017)

Superior Title: ISSN: 0030-8730 ; Pacific Journal of Mathematics ; https://hal.science/hal-02140440 ; Pacific Journal of Mathematics, 2019, 301 (1), pp.31-54. ⟨10.2140/pjm.2019.301.31⟩.

Subject Terms: groups of isomorphisms of Banach spaces, isometry groups, light groups, renormings of Banach spaces, LUR renormings, invariant renormings, [MATH]Mathematics [math], [MATH.MATH-FA]Mathematics [math]/Functional Analysis [math.FA]

Relation: info:eu-repo/semantics/altIdentifier/arxiv/1711.03482; hal-02140440; https://hal.science/hal-02140440; https://hal.science/hal-02140440/document; https://hal.science/hal-02140440/file/renorming-Pacific-final-version.pdf; ARXIV: 1711.03482

Availability: https://doi.org/10.2140/pjm.2019.301.31
https://hal.science/hal-02140440
https://hal.science/hal-02140440/document
https://hal.science/hal-02140440/file/renorming-Pacific-final-version.pdf

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