Continuity Conditions for Finite-Dimensional Locally Bounded Representations of Connected Locally Compact Groups

被引：6

作者：

Shtern, A., I ^{[1
,2
]}

机构：

[1] Moscow MV Lomonosov State Univ, Dept Mech & Math, Moscow 119991, Russia

[2] Russian Acad Sci, Fed State Inst, Sci Res Inst Syst Anal, Moscow 117218, Russia

来源：

RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS | 2018年 / 25卷 / 03期

关键词：

GENERATED PROFINITE GROUPS; QUASI-INVARIANT MEASURES; MULTIPLICATIVE MORPHISMS; GROUP-ALGEBRAS; LIE-GROUPS; NOVIKOV-CONJECTURE; SMALL ISOMORPHISMS; WEAK AMENABILITY; BANACH-ALGEBRAS; COHOMOLOGY;

D O I：

10.1134/S1061920818030081

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A criterion for the continuity of the restriction of a finite-dimensional locally bounded representation of a connected locally compact group to the commutator subgroup of the group is given.

引用

页码：345 / 382

页数：38

共 50 条

[21] CLOSED LOCALLY PATH-CONNECTED SUBSPACES OF FINITE-DIMENSIONAL GROUPS ARE LOCALLY COMPACT
Banakh, Taras
Zdomskyy, Lyubomyr
TOPOLOGY PROCEEDINGS, VOL 36, 2010, 36 : 399 - +
[22] Hochschild kernel for locally bounded finite-dimensional representations of a connected Lie group
Shtern, Alexander I.
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (03) : 1063 - 1066
[23] Corrected Automatic Continuity Conditions for Finite-Dimensional Representations of Connected Lie Groups
Shtern, A. I.
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2014, 21 (01) : 133 - 134
[24] Corrected automatic continuity conditions for finite-dimensional representations of connected Lie groups
A. I. Shtern
Russian Journal of Mathematical Physics, 2014, 21 : 133 - 134
[25] FINITE-DIMENSIONAL LOCALLY BOUNDED SPACES
IYAHEN, SO
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1973, 6 (MAY): : 488 - 490
[26] Continuity Criterion for the Restriction to the Commutator Subgroup of a Locally Bounded Finite-Dimensional Representation of a Connected Lie Group
Shtern, A. I.
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2019, 26 (02) : 206 - 207
[27] Continuity Criterion for the Restriction to the Commutator Subgroup of a Locally Bounded Finite-Dimensional Representation of a Connected Lie Group
A. I. Shtern
Russian Journal of Mathematical Physics, 2019, 26 : 206 - 207
[28] FINITE-DIMENSIONAL, LOCALLY COMPACT ALGEBRAS
WARNER, SL
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1970, 17 (07): : 1044 - &
[29] Fourier-Stieltjes localization in neighborhoods of finite-dimensional irreducible representations of locally compact groups
Shtern, A. I.
RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2006, 13 (04) : 458 - 465
[30] Fourier-Stieltjes localization in neighborhoods of finite-dimensional irreducible representations of locally compact groups
A. I. Shtern
Russian Journal of Mathematical Physics, 2006, 13 : 458 - 465

← 1 2 3 4 5 →