<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Let <italic>X</italic> be a Banach bimodule over a Banach algebra 𝒜. We shall seek conditions under which (1) <italic>X</italic> and its dual factorize on the same side or (2) <italic>X</italic> factors on the left (or right) if and only if its second conjugate space has a left (or right) unit.</p></abstract>

Let X be a Banach bimodule over a Banach algebra 𝒜. We shall seek conditions under which (1) X and its dual factorize on the same side or (2) X factors on the left (or right) if and only if its second conjugate space has a left (or right) unit.

Arens simultaneously factorization

Universidad Nacional del Centro de la Provincia de Buenos Aires

Facultad de Ciencias Exactas, Departamento de Matemática

General Mathematics

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"Arens simultaneously factorization"}

Let X be a Banach bimodule over a Banach algebra 𝒜. We shall seek conditions under which (1) X and its dual factorize on the same side or (2) X factors on the...

Arens simultaneously factorization

Published Online: Dec 21, 2019

Page range: 17 - 27

Received: Nov 14, 2018

Accepted: Apr 29, 2019

DOI: https://doi.org/10.2478/gm-2019-0002

Keywords
Banach algebra, Banach bimodule, mixed units, arens product

© 2019 María José Aleandro, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Arens simultaneously factorization

Published Online: Dec 21, 2019

Page range: 17 - 27

Received: Nov 14, 2018

Accepted: Apr 29, 2019

DOI: https://doi.org/10.2478/gm-2019-0002

KeywordsBanach algebra, Banach bimodule, mixed units, arens product

© 2019 María José Aleandro, published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Banach algebra, Banach bimodule, mixed units, arens product