Marek Cúth

Články

Preprintové verze článků jsou k dipozici na arxiv.org.

Webová aplikace vyvinutá T. Raunigem, která počítá (mimo jiné) hodnotu Lispchitz-free normy: dostupná na odkazu zde.

M. Cúth, N. de Rancourt, M. Doucha: Guarded Fraissé Banach spaces, preprint.

M. Cúth, M. Doucha, T. Titkos: Isometries of Lipschitz-free Banach spaces, preprint.

L. Candido, M. Cúth, O. Smetana: Note on almost isometric ideals and local retracts in Banach and metric spaces, Proc. Roy. Soc. Edinburgh Sect. A., online first.

M. Cúth, M. Doležal, M. Doucha, O. Kurka: Polish spaces of Banach spaces. Complexity of isometry and isomorphism classes, J. Inst. Math. Jussieu, online first.

M. Cúth, T. Raunig: Canonical embedding of Lipschitz-free p-spaces Banach J. Math. Anal., 18 (2) (2024), Paper No. 33. Special Issue Dedicated to Professor William B. Johnson.
(For the related web application developed by T. Raunig computing (among others) the value of Lipschitz-free p-norm: see here)

M. Cúth, M. Doucha: Projections in Lipschitz-free spaces induced by group actions, Math. Nachr., 296 (8) (2023), 3301-3317.

M. Cúth, M. Doucha, O. Kurka: Complexity of distances: Theory of generalized analytic equivalence relations, J. Math. Log., 23 (1) (2023), 2250014 (45 pages).

C. Correa, M. Cúth, J. Somaglia: Characterizations of weakly K-analytic and Vašák spaces using projectional skeletons and using separable PRI, J. Math. Anal. Appl., 515 (1) (2022), Paper No. 126389.

F. Albiac, J. L. Ansorena, M. Cúth, M. Doucha: Lipschitz algebras and Lipschitz-free spaces over unbounded metric spaces, Int. Math. Res. Not. IMRN, 2022 (20) (2022), 16327-16362.

C. Correa, M. Cúth, J. Somaglia: Characterization of (semi-)Eberlein compacta using retractional skeletons, Studia Math., 263 (2) (2022), 159-198.

F. Albiac, J. L. Ansorena, M. Cúth, M. Doucha: Structure of the Lipschitz free p-spaces F_p(Z^d) and F_p(R^d) for 0<p≤1, Collect. Math., 73 (2022), 337-357.

M. Cúth, M. Doležal, M. Doucha, O. Kurka: Polish spaces of Banach spaces, Forum Math. Sigma, 10 (2022), Paper No. e26, 28 pp.

M. Cúth, M. Doucha, O. Kurka: Complexity of distances: Reductions of distances between metric and Banach spaces, Israel J. Math., 248 (1) (2022), 383-439.

F. Albiac, J. L. Ansorena, M. Cúth, M. Doucha: Lipschitz free spaces isomorphic to their infinite sums and geometric applications, Trans. Amer. Math. Soc., 374 (10) (2021), 7281-7312.

F. Albiac, J. L. Ansorena, M. Cúth, M. Doucha: Embeddability of ℓ_p and bases in Lipschitz free p-spaces for 0<p≤1, J. Funct. Anal., 278 (4) (2020), pp. 108354, 33.

F. Albiac, J. L. Ansorena, M. Cúth, M. Doucha: Lipschitz free p-spaces for 0<p≤1, Israel J. Math., 240 (1) (2020), 65-98.

L. Candido, M. Cúth, M. Doucha: Isomorphisms between spaces of Lipschitz functions, J. Funct. Anal., 277 (8) (2019), 2697-2727.

M. Cúth, O. Kurka, B. Vejnar: Large separated sets of unit vectors in Banach spaces of continuous functions, Colloq. Math., 157 (2) (2019), 173-187.

M. Cúth, O. F. K. Kalenda, P. Kaplický: Finitely additive measures and complementability of Lipschitz-free spaces, Israel J. Math., 230 (1) (2019), 409-442.

M. Cúth: Separable determination in Banach spaces, Fund. Math., 243 (1) (2018), 9-27.

M. Cúth, O. F. K. Kalenda, P. Kaplický: Isometric representation of Lipschitz-free spaces over convex domains in finite-dimensional spaces, Mathematika, 63 (2) (2017), 538-552.

M. Cúth, M. Fabian: Rich families and projectional skeletons in Asplund WCG spaces, J. Math. Anal. Appl., 448 (2) (2017), 1618-1632.

M. Cúth, M. Johanis: Isometric embedding of ℓ₁ into Lipschitz-free spaces and ℓ_∞ into their duals, Proc. Amer. Math. Soc., 145 (8) (2017), 3409-3421.

M. Cúth, M. Doucha, P. Wojtaszczyk: On the structure of Lipschitz-free spaces, Proc. Amer. Math. Soc., 144 (9) (2016), 3833-3846.

M. Cúth, M. Fabian: Asplund spaces characterized by rich families and separable reduction of Frechet subdifferentiability, J. Funct. Anal., 270 (4) (2016), 1361-1378.

M. Cúth, M. Doucha: Lipschitz-Free Spaces Over Ultrametric Spaces, Mediterr. J. Math., 13 (2016), 1893-1906.

M. Cúth, O. Kalenda: Monotone retractability and retractional skeletons, J. Math. Anal. Appl., 423 (1) (2015), 18-31.

M. Cúth, M. Rmoutil, M. Zelený: On Separable Determination of σ-P-Porous Sets in Banach Spaces, Topology Appl., 180 (1) (2015), 64-84.

M. Cúth, O. Kalenda: Note on Bessaga-Klee classification, Colloq. Math., 140 (1) (2015), 59-74.

M. Cúth, M. Fabian: Projections in duals to Asplund spaces made without Simons' lemma, Proc. Amer. Math. Soc., 143 (1) (2015), 301-308.

M. Cúth: Characterization of compact monotonically (ω)-monolithic spaces using system of retractions, Topology Appl., 171 (1) (2014), 87-90.

M. Cúth, O. Kalenda: Rich families and elementary submodels, Cent. Eur. J. Math., 12 (7) (2014), 1026-1039.

M. Cúth: Simultaneous projectional skeletons, J. Math. Anal. Appl., 411 (1) (2014), 19-29.

M. Cúth: Noncommutative Valdivia compacta, Comment. Math. Univ. Carolinae, 55 (1) (2014), 53-72.

M. Cúth, M. Rmoutil: σ-porosity is separably determined, Czechoslovak Math. J., 63 (2013), 219-234.

M. Cúth: Separable reduction theorems by the method of elementary submodels, Fund. Math., 219 (2012), 191-222.

Ostatní práce

Marek Cúth, Lipschitz-free Banach spaces, habilitační práce.

Marek Cúth, Separabilní redukce, systémy projekcí a retrakcí, disertační práce.

Marek Cúth, Separabilní redukce ve funkcionální analýze, diplomová práce.