Isometry groups of non standard metric products

• Autorzy: Bogdana Oliynyk
• Języki publikacji: EN

Abstrakty

EN

We consider isometry groups of a fairly general class of non standard products of metric spaces. We present sufficient conditions under which the isometry group of a non standard product of metric spaces splits as a permutation group into direct or wreath product of isometry groups of some metric spaces.

Słowa kluczowe

EN

Isometry group; Metric space; Non standard metric product; Direct product; Wreath product

Kategorie tematyczne

• 54B10: Product spaces
• 20E22: Extensions, wreath products, and other compositions
• 54H15: Transformation groups and semigroups
• 54E40: Special maps on metric spaces

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 2
• Strony: 264-273

Daty

wydano

2013-02-01

online

2012-11-21

Twórcy

autor

Bogdana Oliynyk

• Kyiv Taras Shevchenko University

Bibliografia

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• [5] Moszynska M., On the uniqueness problem for metric products, Glas. Mat. Ser. III, 1992, 27(47)(1), 145–158
• [6] Oliynyk B., Wreath product of metric spaces, Algebra Discrete Math., 2007, 4, 123–130
• [7] Kalužnin L.A., Beleckij P.M., Fejnberg V.Z., Kranzprodukte, Teubner-Texte Math., 101, Teubner, Leipzig, 1987
• [8] Schoenberg I.J., Metric spaces and completely monotone functions, Ann. Math., 1938, 39(4), 811–841 http://dx.doi.org/10.2307/1968466

Identyfikatory

DOI

10.2478/s11533-012-0132-5