Zobrazeno 1 - 10
of 401
pro vyhledávání: '"43A20"'
Autor:
Filali, Mahmoud, Galindo, Jorge
A long standing problem in abstract harmonic analysis concerns the strong Arens irregularity (sAir, for short) of the Fourier algebra $A(G)$ of a locally compact group $G.$ The groups for which $A(G)$ is known to be sAir are all amenable. So far this
Externí odkaz:
http://arxiv.org/abs/2412.15029
Autor:
Flores, Felipe I.
In this note we show that the twisted convolution algebra $L^1_{\alpha,\omega}({\sf G},\mathfrak A)$ associated to a twisted action of a locally compact group ${\sf G}$ on a $C^*$-algebra $\mathfrak A$ has the following property: Every quotient by a
Externí odkaz:
http://arxiv.org/abs/2410.12162
Autor:
Austad, Are, Thiel, Hannes
We say that an inclusion of an algebra $A$ into a $C^*$-algebra $B$ has the ideal separation property if closed ideals in $B$ can be recovered by their intersection with $A$. Such inclusions have attractive properties from the point of view of harmon
Externí odkaz:
http://arxiv.org/abs/2408.14880
Autor:
Harti, Rachid El, Pinto, Paulo R.
We show that the Banach *-algebra $\ell^1(G,A,\alpha)$, arising from a C*-dynamical system $(A,G,\alpha)$, is an hermitian Banach algebra if the discrete group $G$ is finite or abelian (or more generally, a finite extension of a nilpotent group). As
Externí odkaz:
http://arxiv.org/abs/2408.11466
Let $G$ and $H$ be locally compact groups. We will show that each contractive Jordan isomorphism $\Phi\colon L^1(G)\to L^1(H)$ is either an isometric isomorphism or an isometric anti-isomorphism. We will apply this result to study isometric two-sided
Externí odkaz:
http://arxiv.org/abs/2407.00489
A kind of generalized Gelfand pair is introduced via a Banach algebra consisting of bi-invariant functions in a weighted Lebesgue space. The related spherical functions and the Fourier transformation are constructed. The multipliers of the underlying
Externí odkaz:
http://arxiv.org/abs/2406.03613
Let $\mathcal{A}$ be a weakly sequentially complete Banach algebra containing a bounded approximate identity that is an ideal in its second dual $\mathcal{A}^{\ast\ast}$, we call such an algebra a Wesebai algebra. In the present paper we examine the
Externí odkaz:
http://arxiv.org/abs/2404.00296
This paper presents a systematic study for the general theory of non-Abelian Fourier series of integrable functions on the homogeneous space $\mathbf{\Gamma}\backslash SE(d)$, where $SE(d)$ is the special Euclidean group in dimension $d$, and $\mathb
Externí odkaz:
http://arxiv.org/abs/2403.15874
Autor:
Flores, Felipe I.
Let ${\sf G}$ be a locally compact group, $\mathscr C\overset{q}{\to}{\sf G}$ a Fell bundle and $\mathfrak B=L^1({\sf G}\,\vert\,\mathscr C)$ the algebra of integrable cross-sections associated to the bundle. We give conditions that guarantee the aut
Externí odkaz:
http://arxiv.org/abs/2403.11039
Autor:
Flores, Felipe I.
Let ${\sf G}$ be a locally compact group with polynomial growth of order $d$, a polynomial weight $\nu$ on ${\sf G}$ and a Fell bundle $\mathscr C\overset{q}{\to}{\sf G}$. We study the Banach $^*$-algebras $L^1({\sf G}\,\vert\,\mathscr C)$ and $L^{1,
Externí odkaz:
http://arxiv.org/abs/2401.09730