Controlled g-frames in Hilbert C*-modules

Nabin Kumar Sahu

Volume 3, Issue 3 , September 2021, , Pages 65-82

http://dx.doi.org/10.30495/maca.2021.1937063.1023

Abstract
  The controlled frame was introduced in 2010 by Balazs et al. [2], with the aim to improve the efficiency of the iterative algorithms constructed for inverting the frame operator. In this paper, the concept of controlled g-frames is introduced in Hilbert C*-modules. The equivalent condition for a controlled ...  Read More

Biflatness of Banach algebras modulo an ideal

Mohammad Ali Abolfathi; Oluwatosin Temitope Mewomo

Volume 3, Issue 2 , June 2021, , Pages 68-74

http://dx.doi.org/10.30495/maca.2021.1932071.1013

Abstract
  Biflatness of Banach algebras is one of the important topics in the study of cohomological properties of Banach algebras. This concept has a close relationship with the amenability of Banach algebras. In this paper, we introduce a new notion namely biflatness of Banach algebras modulo closed ideals. ...  Read More

On various properties of Module Lau product of algebras

Prakash A. Dabhi; Yuvraj D. Pipaliya

Articles in Press, Accepted Manuscript, Available Online from 02 August 2022

http://dx.doi.org/10.30495/maca.2022.1955532.1055

Abstract
  Let $\mathcal{A},$ $\mathcal{B},$ and $\mathcal{X}$ be complex algebras, $\theta : \mathcal{B} \longrightarrow \mathcal{X}$ be an algebra homomorphism, and let $\mathcal{A}$ be an $\mathcal{X}$-bimodule. We define a product on $\mathcal{A} \times \mathcal{B}$ as $(a_1, b_1)(a_2,b_2) = (a_1 a_2 + a_1 ...  Read More