On Riesz theorem

被引：0

作者：

Garcia, EM ^{[1
]}

机构：

[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2001年 / 29卷 / 11期

关键词：

D O I：

10.1081/AGB-100106796

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove a Riesz type criterion for a class of metric monoids: Local compactness implies finiteness of the Hausdorff dimension (and also of the topological dimension). We construct topological groups showing the necessity of some conditions. We finally prove that for some metric topological spaces finiteness of the algebraic dimension is equivalent to the finiteness of the Hausdorff dimension.

引用

页码：4989 / 5001

页数：13

共 50 条

[11] GENERALIZATION OF A THEOREM BY RIESZ,F
BERZ, E
MANUSCRIPTA MATHEMATICA, 1970, 2 (03) : 285 - &
[12] EXTENSION THEOREM FOR RIESZ HOMOMORPHISMS
LUXEMBURG, WAJ
SCHEP, AR
PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1979, 82 (02): : 145 - 154
[13] ON A THEOREM OF F. RIESZ
Bang, H. H.
ACTA MATHEMATICA HUNGARICA, 2016, 148 (02) : 360 - 369
[14] ON THE THEOREM OF FEJER-RIESZ
ZYGMUND, A
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1946, 52 (04) : 310 - 318
[15] On the Riesz-Fischer theorem
Horváth, J
STUDIA SCIENTIARUM MATHEMATICARUM HUNGARICA, 2004, 41 (04) : 467 - 478
[16] GENERALIZATION OF A THEOREM OF RIESZ,F
HUGGINS, FN
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (03): : 560 - &
[17] A NONSTANDARD VERSION OF A RIESZ THEOREM
BENELMAMOUNE, I
BENOIT, E
LOBRY, C
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1993, 316 (07): : 653 - 656
[18] Burkholder theorem in Riesz spaces
Azouzi, Youssef
Ramdane, Kawtar
POSITIVITY, 2021, 25 (05) : 2157 - 2171
[19] A UNIQUENESS THEOREM FOR RIESZ POTENTIALS
Izyurov, K. A.
ST PETERSBURG MATHEMATICAL JOURNAL, 2008, 19 (04) : 577 - 595
[20] On a Theorem of F. Riesz
H. H. Bang
Acta Mathematica Hungarica, 2016, 148 : 360 - 369

← 1 2 3 4 5 →