Výsledky vyhledávání - "Michal Doucha"

Complexity of distances: Theory of generalized analytic equivalence relations

Autor: Marek Cúth, Michal Doucha, Ondřej Kurka

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

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Lipschitz free p-spaces for 0 < p < 1

Autor: Jose L. Ansorena, Michal Doucha, Fernando Albiac, Marek Cúth

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

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Universal actions and representations of locally finite groups on metric spaces

Autor: Michal Doucha

Publikováno v: Israel Journal of Mathematics. 231:343-377

We construct a universal action of a countable locally finite group (the Hall's group) on a separable metric space by isometries. This single action contains all actions of all countable locally finite groups on all separable metric spaces as subacti

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::37cb46d9d85ec1bd5f2146ac291c428a
https://doi.org/10.1007/s11856-019-1856-8

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Lipschitz free spaces isomorphic to their infinite sums and geometric applications

Autor: Fernando Albiac, Michal Doucha, Marek Cúth, Jose L. Ansorena

Publikováno v: Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
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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

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Lipschitz algebras and Lipschitz-free spaces over unbounded metric spaces

Autor: Fernando Albiac, Marek Cúth, Michal Doucha, Jose L. Ansorena

Publikováno v: Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
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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

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Large scale geometry of Banach-Lie groups

Autor: Hiroshi Ando, Michal Doucha, Yasumichi Matsuzawa

We initiate the large scale geometric study of Banach-Lie groups, especially of linear Banach-Lie groups. We show that the exponential length, originally introduced by Ringrose for unitary groups of $C^*$-algebras, defines the quasi-isometry type of

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Complexity of distances: Reductions of distances between metric and Banach spaces

Autor: Marek Cúth, Michal Doucha, Ondřej Kurka

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

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Embeddability of ℓp and bases in Lipschitz free p-spaces for 0 < p ≤ 1

Autor: Michal Doucha, Jose L. Ansorena, Fernando Albiac, Marek Cúth

Publikováno v: Academica-e. Repositorio Institucional de la Universidad Pública de Navarra
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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

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Property (T), finite-dimensional representations, and generic representations

Autor: Michal Doucha, Maciej Malicki, Alain Valette

Publikováno v: Journal of Group Theory. 22:1-13

Let G be a discrete group with Property (T). It is a standard fact that, in a unitary representation of G on a Hilbert space ℋ {\mathcal{H}} , almost invariant vectors are close to invariant vectors, in a quantitative way. We begin by showing that,

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c13a1068283928e97152e1433495e100
https://doi.org/10.1515/jgth-2018-0030

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