Colin PETITJEAN

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Publications

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Publications

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On curve-flat Lipschitz functions and their linearizations

Gonzalo Flores , Mingu Jung , Gilles Lancien , Colin Petitjean , Antonín Procházka et al.

International Mathematics Research Notices, 2025, 2025 (11), ⟨10.1093/imrn/rnaf132⟩

Article dans une revue hal-04784542v1
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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