Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Marek Cúth"'
Publikováno v:
Collectanea Mathematica. 73:337-357
Our aim in this article is to contribute to the theory of Lipschitz free p-spaces for $$0
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60d655dc31882835551dc240afdb785b
https://doi.org/10.1007/s13348-021-00322-9
https://doi.org/10.1007/s13348-021-00322-9
Publikováno v:
Journal of Mathematical Logic. 23
We generalize the notion of analytic/Borel equivalence relations, orbit equivalence relations, and Borel reductions between them to their continuous and quantitative counterparts: analytic/Borel pseudometrics, orbit pseudometrics, and Borel reduction
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c971d6faab3b9f4aa8af6247de00ab6
https://doi.org/10.1142/s0219061322500143
https://doi.org/10.1142/s0219061322500143
Publikováno v:
Israel Journal of Mathematics. 240:65-98
F. Albiac acknowledges the support of the Spanish Ministry for Economy and Competitivity Grants MTM2014-53009-P for Analisis Vectorial, Multilineal y Aplicaciones, and MTM2016-76808-P for Operators, lattices, and structure of Banach spaces as well as
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3de0351761097374ef4ed3f134e775fb
https://doi.org/10.1007/s11856-020-2061-5
https://doi.org/10.1007/s11856-020-2061-5
Publikováno v:
Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
instname
instname
We find general conditions under which Lipschitz-free spaces over metric spaces are isomorphic to their infinite direct _1-sum and exhibit several applications. As examples of such applications we have that Lipschitz-free spaces over balls and sphere
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::98f6c7f4c2eb99dd58fb50d1db223e72
https://hdl.handle.net/2454/41919
https://hdl.handle.net/2454/41919
Publikováno v:
Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
instname
instname
We investigate a way to turn an arbitrary (usually, unbounded) metric space M into a bounded metric space B in such a way that the corresponding Lipschitz-free spaces F(M) and F(B) are isomorphic. The construction we provide is functorial in a weak s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4f602e86faca99e29239ee96abcd98a6
http://arxiv.org/abs/2011.12993
http://arxiv.org/abs/2011.12993
We deeply study retractions associated to suitable models in compact spaces admitting a retractional skeleton and find several interesting consequences. Most importantly, we provide a new characterization of Valdivia compacta using the notion of retr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4ed374e316935b891f14a14639703c4b
http://arxiv.org/abs/2009.07902
http://arxiv.org/abs/2009.07902
We show that all the standard distances from metric geometry and functional analysis, such as Gromov-Hausdorff distance, Banach-Mazur distance, Kadets distance, Lipschitz distance, Net distance, and Hausdorff-Lipschitz distance have all the same comp
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::30c48d566c3a8b3cfbdd80d75b4ece11
Publikováno v:
Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
instname
instname
Our goal in this paper is to continue the study initiated by the authors in of the geometry of the Lipschitz free p-spaces over quasimetric spaces for 0 < p ≤ 1, denoted Fp(M). Here we develop new techniques to show that, by analogy with the case p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::001c69ca25d3598fb99cf94ff4438a52
https://hdl.handle.net/2454/36849
https://hdl.handle.net/2454/36849
We present and thoroughly study natural Polish spaces of separable Banach spaces. These spaces are defined as spaces of norms, resp. pseudonorms, on the countable infinite-dimensional rational vector space. We provide an exhaustive comparison of thes
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::72d067f0ba96df2f2414e9b1c7b8d4d9
Autor:
Marek Cúth, Marián Fabian
Publikováno v:
Journal of Functional Analysis. 270:1361-1378
Asplund property of a Banach space X is characterized by the existence of a rich family, in the product X × X ⁎ , consisting of some carefully chosen separable subspaces. This structural result is then used to add a lot of precision and simplicity
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::49c4699a8300ef3679b3837c28e2adc0
https://doi.org/10.1016/j.jfa.2015.12.005
https://doi.org/10.1016/j.jfa.2015.12.005