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Arens simultaneously factorization

Published:2019-06-01 Issue:1 Volume:27 Page:17-27
ISSN:1584-3289
Container-title:General Mathematics
language:en
Short-container-title:

Author:

Aleandro María José¹

Affiliation:

1. Universidad Nacional del Centro de la Provincia de Buenos Aires , Facultad de Ciencias Exactas, Departamento de Matemática , Campus Universitario, Argentina ; e-mail: majo.aleandro@gmail.com

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/gm-2019-0002

Reference13 articles.

1. [1] S. Ishikawa, Fixed point and iteration of a nonexpansive mapping in a Banach space, Proc. Amer. Math. Soc., vol. 73, no. 2, 1976, 65-71.10.1090/S0002-9939-1976-0412909-X

2. [2] K. Haghnejad Azar, Arens regularity of bilinear forms and unital Banach module spaces, Bull. Iranian Math. Soc., vol. 40, no. 2, 2014, 505-520.

3. [3] P. Cohen, Factorization in group algebras, Duke Math. J., vol. 26, no. 2, 1959, 199-205.10.1215/S0012-7094-59-02620-1

4. [4] H. Dales , Banach algebras and automatic continuity, Oxford University Press, 2000.

5. [5] J. Dixmier, Les fonctionnelles linéaires sur l’ensemble des opérateurs bornées d’un espace de Hilbert, Ann. of Math., vol. 51, no. 2, 1950, 387-408.10.2307/1969331

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