Abstract harmonic analysis
1. Operators reversing b-Birkhoff orthogonality in 2-normed linear spaces

R. Pirali; M. Momeni

Volume 09, Issue 04 , Autumn 2020, , Pages 291-299

Abstract
  In this paper, we discuss the relationships between 2-functionals and existence of b-Birkhoff orthogonal elements in 2-normed linear spaces. Moreover, we obtain some characterizations of 2-inner product spaces by b-Birkhoff orthogonality. Then we study the operators reversing b-Birkhoff orthogonality ...  Read More

Abstract harmonic analysis
2. ‎Some‎ relations between ‎$‎L^p‎$‎-spaces on locally compact group ‎$‎G‎$ ‎and‎ double coset $K\setminus G/H‎$

R. A. Kamyabi Gol; F. Fahimian; F. Esmaeelzadeh

Volume 09, Issue 02 , Spring 2020, , Pages 149-163

Abstract
  Let $H$ and $K$ be compact subgroups of locally compact group $G$. By considering the double coset space $K\setminus G/H$, which equipped with an $N$-strongly quasi invariant measure $\mu$, for $1\leq p\leq +\infty$, we make a norm decreasing linear map from $L^p(G)$ onto $L^p(K\setminus G/H,\mu)$ and ...  Read More

Abstract harmonic analysis
3. Measures of maximal entropy

M. Amini

Volume 08, Issue 04 , Autumn 2019, , Pages 229-235

Abstract
  We extend the results of Walters on the uniqueness of invariant measures with maximal entropy on compact groups to an arbitrary locally compact group. We show that the maximal entropy is attained at the left Haar measure and the measure of maximal entropy is unique.  Read More

Abstract harmonic analysis
4. Spectral triples of weighted groups

M. Amini; Kh. Shamsolkotabi

Volume 06, Issue 03 , Summer 2017, , Pages 207-216

Abstract
  We study spectral triples on (weighted) groups and consider functors between the categories of weighted groups and spectral triples. We study the properties of weights and the corresponding functor for spectral triples coming from discrete weighted groups.  Read More

Abstract harmonic analysis
5. Characterization of $\delta$-double derivations on rings and algebras

A. Hosseini

Volume 06, Issue 01 , Winter 2017, , Pages 55-65

Abstract
  The main purpose of this article is to offer some characterizations of $\delta$-double derivations on rings and algebras. To reach this goal, we prove the following theorem:Let $n > 1$ be an integer and let $\mathcal{R}$ be an $n!$-torsion free ring with the identity element $1$. Suppose ...  Read More

Abstract harmonic analysis
6. Classical Wavelet Transforms over Finite Fields

A. Ghaani Farashahi

Volume 04, Issue 04 , Autumn 2015, , Pages 241-257

Abstract
  This article introduces a systematic study for computational aspects of classical wavelet transforms over finite fields using tools from computational harmonic analysis and also theoretical linear algebra. We present a concrete formulation for the Frobenius norm of the classical wavelet transforms over ...  Read More

Group theory and generalizations
7. Quotient Arens regularity of $L^1(G)$

A. Zivari-Kazempour

Volume 04, Issue 04 , Autumn 2015, , Pages 275-281

Abstract
  Let $\mathcal{A}$ be a Banach algebra with BAI and $E$ be an introverted subspace of $\mathcal{A}^\prime$. In this paper we study the quotient Arens regularity of $\mathcal{A}$ with respect to $E$ and prove that the group algebra $L^1(G)$ for a locally compact group $G$, is quotient Arens regular ...  Read More

Abstract harmonic analysis
8. Hereditary properties of amenability modulo an ideal of Banach algebras

H. Rahimi; E. Tahmasebi

Volume 03, Issue 02 , Spring 2014, , Pages 107-114

Abstract
  In this paper we investigate some hereditary properties of amenability modulo an ideal of Banach algebras. We show that if $(e_\alpha)_\alpha$ is a bounded approximate identity modulo I of a Banach algebra A and X is a neo-unital modulo I, then $(e_\alpha)_\alpha$ is a bounded approximate identity ...  Read More