Colin PETITJEAN

Publications

Article dans une revue (18)

On curve-flat Lipschitz functions and their linearizations Gonzalo Flores,Mingu Jung,Gilles Lancien,Colin Petitjean,Antonín Procházkaet al. International Mathematics Research Notices, 2025, 2025 (11), ⟨10.1093/imrn/rnaf132⟩ Article dans une revue hal-04784542v1
The set of elementary tensors is weakly closed in projective tensor products Colin Petitjean Bulletin of the Australian Mathematical Society, 2024, 111 (2), pp.1-8. ⟨10.1017/S0004972724000376⟩ Article dans une revue hal-04533773v1
A pre-adjoint approach on weighted composition operators between spaces of Lipschitz functions Arafat Abbar,Clément Coine,Colin Petitjean Results in mathematics = Resultate der Mathematik, 2024, 79 (85), https://doi.org/10.1007/s00025-023-02115-x. ⟨10.1007/s00025-023-02115-x⟩ Article dans une revue hal-04202343v1
Compact and weakly compact Lipschitz operators Arafat Abbar,Clément Coine,Colin Petitjean Proceedings of the Royal Society of Edinburgh: Section A, Mathematics, 2023, 153 (3), pp.1-19. ⟨10.1017/prm.2022.29⟩ Article dans une revue hal-04202284v1
Injectivity of Lipschitz operators Luis García-Lirola,Colin Petitjean,Antonín Procházka Bulletin of the Malaysian Mathematical Sciences Society, 2023, 46 (2), pp.68. ⟨10.1007/s40840-023-01467-5⟩ Article dans une revue hal-03659971v1
A note on the spectrum of Lipschitz operators and composition operators on Lipschitz spaces Arafat Abbar,Clément Coine,Colin Petitjean Journal of Operator Theory, 2023, 94 (1), pp.175-193. ⟨10.7900/jot.2023oct13.2467⟩ Article dans une revue hal-04243259v1
Purely 1-Unrectifiable Metric Spaces and Locally Flat Lipschitz Functions Ramón J Aliaga,Chris Gartland,Colin Petitjean,Antonín Procházka Transactions of the American Mathematical Society, 2022, 375 (5), pp.3529-3567. ⟨10.1090/tran/8591⟩ Article dans une revue hal-03242635v1
On Kalton’s interlaced graphs and nonlinear embeddings into dual Banach spaces Bruno de Mendona Braga,Gilles Lancien,Colin Petitjean,Antonin Prochazka Journal of Topology and Analysis, 2021, ⟨10.1142/S1793525321500345⟩ Article dans une revue hal-02974699v1
On the Weak Maximizing Properties Luis García-Lirola,Colin Petitjean Banach Journal of Mathematical Analysis, 2021, ⟨10.1007/s43037-021-00141-x⟩ Article dans une revue hal-02974714v1
Compact reduction in Lipschitz free spaces Ramón J. Aliaga,Camille Noûs,Colin Petitjean,Antonin Prochazka Studia Mathematica, 2021, ⟨10.4064/sm200925-18-1⟩ Article dans une revue hal-02558998v1
Embeddings of Lipschitz-free spaces into ℓ1 Ramón J. Aliaga,Colin Petitjean,Antonin Prochazka Journal of Functional Analysis, 2021, 280 (6), pp.108916. ⟨10.1016/j.jfa.2020.108916⟩ Article dans une revue hal-02974707v1
On the Dynamics of Lipschitz Operators Arafat Abbar,Clément Coine,Colin Petitjean Integral Equations and Operator Theory, 2021, ⟨10.1007/s00020-021-02662-4⟩ Article dans une revue hal-03025702v1
Supports in Lipschitz-free spaces and applications to extremal structure Ramón J. Aliaga,Eva Pernecka,Colin Petitjean,Antonin Prochazka Journal of Mathematical Analysis and Applications, 2020, 489 (1), pp.124128. ⟨10.1016/j.jmaa.2020.124128⟩ Article dans une revue hal-02974712v1
On the Coarse Geometry of James Spaces G. Lancien,Colin Petitjean,Antonin Prochazka Canadian Mathematical Bulletin, 2020, 63 (1), pp.77-93. ⟨10.4153/S0008439519000535⟩ Article dans une revue hal-02373870v1
Set-Valued and Variational Analysis Theory and Applications Aris Daniilidis,Colin Petitjean Set-Valued and Variational Analysis, 2018, 26 (1), pp.143-157. ⟨10.1007/s11228-017-0439-2⟩ Article dans une revue hal-02373848v1
Extremal Structure and Duality of Lipschitz Free Spaces Luis García-Lirola,Colin Petitjean,Antonin . Prochazka,Abraham Rueda Zoca Mediterranean Journal of Mathematics, 2018, 15 (2), pp.69. ⟨10.1007/s00009-018-1113-0⟩ Article dans une revue hal-02373898v1
On the structure of spaces of vector-valued Lipschitz functions Luis García-Lirola,Colin Petitjean,Abraham Rueda Zoca Studia Mathematica, 2017, 239 (3), pp.249-271. ⟨10.4064/SM8694-1-2017⟩ Article dans une revue hal-02974703v1
Lipschitz-free spaces and Schur properties Colin Petitjean Journal of Mathematical Analysis and Applications, 2017, 453 (2), pp.894-907. ⟨10.1016/j.jmaa.2017.04.047⟩ Article dans une revue hal-02373803v1

Pré-publication, Document de travail (2)

On weak compactness and uniform regularity in Lipschitz free spaces Ramón J. Aliaga,Colin Petitjean,Antonín Prochazka,Triinu Veeorg 2025 Pré-publication, Document de travail hal-05419440v1
ON EXPOSED POINTS OF LIPSCHITZ FREE SPACES Colin Petitjean,Antonin Prochazka 2020 Pré-publication, Document de travail hal-02974706v1

Thèse (1)

Some aspects of the geometry of Lipschitz free spaces Colin Petitjean Functional Analysis [math.FA]. Université Bourgogne Franche-Comté, 2018. English. ⟨NNT : 2018UBFCD006⟩ Thèse tel-01826406v2