scholarly journals Graev metric groups and Polishable subgroups

2007 ◽  
Vol 213 (2) ◽  
pp. 887-901 ◽  
Author(s):  
Longyun Ding ◽  
Su Gao
Keyword(s):  
Metric Groups

scholarly journals On the Mazur–Ulam theorem in metric groups

2009 ◽  
Vol 42 (1) ◽  
Author(s):  
Marek Żołdak
Keyword(s):  
Ulam Theorem ◽  
Metric Groups

AbstractLet

Metric groups attached to skew-symmetric biextensions

2010 ◽  
Vol 15 (1) ◽  
pp. 72-91 ◽  
Author(s):  
Swarnendu Datta
Keyword(s):  
Metric Groups

scholarly journals Measures with unique tangent measures in metric groups

2005 ◽  
Vol 97 (2) ◽  
pp. 298 ◽  
Author(s):  
Pertti Mattila
Keyword(s):  
Haar Measure ◽  
Radon Measure ◽  
Invariant Subgroup ◽  
Locally Compact ◽  
Almost Everywhere ◽  
Tangent Measure ◽  
Metric Group ◽  
Metric Groups

We show that a Radon measure on a locally compact metric group with natural dilations has almost everywhere a unique tangent measure if and only if it has almost everywhere a Haar measure of a closed dilation invariant subgroup as its unique tangent measure.

scholarly journals Metric groups, unitary representations and continuous logic

2021 ◽  
Vol 29 (1) ◽  
pp. 35-48
Author(s):  
Aleksander Ivanov
Keyword(s):  
Unitary Representations ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Continuous Logic ◽  
Locally Compact ◽  
First Order ◽  
Property T ◽  
Metric Groups

Abstract We describe how properties of metric groups and of unitary representations of metric groups can be presented in continuous logic. In particular we find Lω 1 ω -axiomatization of amenability. We also show that in the case of locally compact groups some uniform version of the negation of Kazhdan’s property (T) can be viewed as a union of first-order axiomatizable classes. We will see when these properties are preserved under taking elementary substructures.

On fuzzy metric groups

2001 ◽  
Vol 124 (1) ◽  
pp. 109-115 ◽  
Author(s):  
Salvador Romaguera ◽  
Manuel Sanchis
Keyword(s):  
Fuzzy Metric ◽  
Metric Groups

Quaternionic Representations of Compact Metric Groups

1967 ◽  
Vol 8 (3) ◽  
pp. 582-589 ◽  
Author(s):  
S. Natarajan ◽  
K. Viswanath
Keyword(s):  
Metric Groups
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