ω ℒ {\omega }_{{\mathcal{ {\mathcal L} }}} -biprojective and ω ¯ \overline{\omega } -contractible Banach algebras
Year: 2025
Type: article
Abstract: For a given Banach algebra ℳ {\mathcal{ {\mathcal M} }} and a continuous endomorphism ω \omega on ℳ {\mathcal{ {\mathcal M} }} , we define ℳ {\mathcal{ {\mathcal M} }} to be ω ℒ {\omega }_{{\mathcal{ {\mathcal L} }}} -biprojective and ω ¯ \overline{\omega } -contractible. We then explore the relationship between them. Additionally, we show that l 1 ( N ∨ ) {l}^{1}\left({{\mathbb{N}}}_{\vee }) is a ω ℒ {\omega }_{{\mathcal{ {\mathcal L} }}} -biprojective Banach algebra. Finally, we examine the concept of ω \omega -pseudo amenability and ω \omega -approximate biprojectivity in Banach algebras. We demonstrate that for every unital Banach algebra ℳ {\mathcal{ {\mathcal M} }} , ω \omega -approximate biprojectivity and ω \omega -pseudo contractibility coincide.
Source: Demonstratio Mathematica
Author: Zahra Ghorbani
Institution: Jahrom University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,187
OpenAlex ID: W4411264918