Unbounded actions of metric groups and continuous logic

2021 ◽  
Author(s):  
Aleksander Ivanov
Keyword(s):  
Continuous Logic ◽  
Metric Groups

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.

Completeness for linear continuous logic

2015 ◽  
pp. exv070
Author(s):  
Seyed-Mohammad Bagheri ◽  
Roghieh Safari
Keyword(s):  
Continuous Logic

Maximality of linear continuous logic

2018 ◽  
Vol 64 (3) ◽  
pp. 185-191
Author(s):  
Mahya Malekghasemi ◽  
Seyed-Mohammad Bagheri
Keyword(s):  
Continuous Logic

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 How to implement MCDM tools and continuous logic into neural computation?

2020 ◽  
Vol 210 ◽  
pp. 106530
Author(s):  
Orsolya Csiszár ◽  
Gábor Csiszár ◽  
József Dombi
Keyword(s):  
Neural Computation ◽  
Continuous Logic

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

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