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of 43
pro vyhledávání: '"VIKTOR LOSERT"'
Autor:
Viktor Losert
Recently we have shown a structure theorem for locally compact groups of polynomial growth. We give now some applications on various growth functions and relations to FC-G - series. In addition, we show some results on related classes of groups.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bc112db69d1a19c0c717401db5ec8aaa
http://arxiv.org/abs/2104.11915
http://arxiv.org/abs/2104.11915
Autor:
Viktor Losert
We show that a compactly generated locally compact group of polynomial growth having no non-trivial compact normal subgroups can be embedded as a co-compact subgroup into a semidirect product of a connected, simply connected, nilpotent Lie group and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::261c12226f106372f17de7154fdddc7f
Publikováno v:
Bulletin of the Polish Academy of Sciences Mathematics. 59:175-183
Let Xi, i ∈ I, and Yj , j ∈ J , be compact convex sets whose sets of extreme points are affinely independent and let φ be an affine homeomorphism of ∏
Autor:
Viktor Losert
Publikováno v:
Banach Center Publications. 91:199-217
Autor:
Viktor Losert
Publikováno v:
Annals of Mathematics. 168:221-246
If G is a locally compact group, then for each derivation D from L 1 (G) into L 1 (G) there is a bounded measure μ ∈ M(G) with D(a )= a ∗ μ − μ ∗ a for a ∈ L 1 (G) (“derivation problem” of B. E. Johnson).
Autor:
Viktor Losert
For a discrete group G with Fourier algebra A(G), we study the topological centre $Z_t$ of the bidual. If G is amenable, then $Z_t$ = A(G). But if G contains a non-abelian free group $F_r$, we show that $Z_t$ is strictly larger than A(G). Furthermore
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed6004b62d445ec39fc4b552e400851a
The Ghahramani–Lau conjecture is established; in other words, the measure algebra of every locally compact group is strongly Arens irregular. To this end, we introduce and study certain new classes of measures (called approximately invariant, respe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a8cc105dd9b69c90875e0dac3c246d0a
http://arxiv.org/abs/1510.05412
http://arxiv.org/abs/1510.05412
Autor:
Viktor Losert, Guy Cohen
Publikováno v:
Studia Mathematica. 173:81-101
In this note we consider multi-dimensional Hartman almost periodic functions and sequences, defined with respect to different av- eraging sequences of subsets in R d or Z d . We consider the behavior of their Fourier-Bohr coefficients and their spect
Autor:
Viktor Losert, Anthony To-Ming Lau
Publikováno v:
Mathematical Proceedings of the Cambridge Philosophical Society. 138:27-39
In this paper, we shall prove that if $G$ is a countably infinite product of second countable amenable locally compact groups $G_i,i\,{=}\,0,1,2,\dots$ and each $G_i$ is a non-trivial compact group for $i>0,$ then the center of the second conjugate a
Autor:
ISAAC KORNFELD, VIKTOR LOSERT
Publikováno v:
Ergodic Theory and Dynamical Systems. 24:873-890