Mostrar el registro sencillo del ítem
Orthogonal ℓ1-sets and extreme non-Arens regularity of preduals of von Neumann algebras
dc.contributor.author | Filali, Mahmoud | |
dc.contributor.author | Galindo, Jorge | |
dc.date.accessioned | 2022-05-23T10:44:09Z | |
dc.date.available | 2022-05-23T10:44:09Z | |
dc.date.issued | 2022-03-04 | |
dc.identifier.citation | Filali, M., & Galindo, J. (2022). Orthogonal ℓ1-sets and extreme non-Arens regularity of preduals of von Neumann algebras. Journal of Mathematical Analysis and Applications, 512(1), 126137. | ca_CA |
dc.identifier.issn | 0022-247X | |
dc.identifier.uri | http://hdl.handle.net/10234/197759 | |
dc.description.abstract | A Banach algebra is Arens-regular when all its continuous functionals are weakly almost periodic, in symbols when ⁎ . To identify the opposite behaviour, Granirer called a Banach algebra extremely non-Arens regular (enAr, for short) when the quotient ⁎ contains a closed subspace that has ⁎ as a quotient. In this paper we propose a simplification and a quantification of this concept. We say that a Banach algebra is r-enAr, with , when there is an isomorphism with distortion r of ⁎ into ⁎ . When , we obtain an isometric isomorphism and we say that is isometrically enAr. We then identify sufficient conditions for the predual ⁎ of a von Neumann algebra to be r-enAr or isometrically enAr. With the aid of these conditions, the following algebras are shown to be r-enAr: (i) the weighted semigroup algebra of any weakly cancellative discrete semigroup, when the weight is diagonally bounded with diagonal bound . When the weight is multiplicative, i.e., when , the algebra is isometrically enAr, (ii) the weighted group algebra of any non-discrete locally compact infinite group and for any weight, (iii) the weighted measure algebra of any locally compact infinite group, when the weight is diagonally bounded with diagonal bound . When the weight is multiplicative, i.e., when , the algebra is isometrically enAr. The Fourier algebra of a locally compact infinite group G is shown to be isometrically enAr provided that (1) the local weight of G is greater or equal than its compact covering number, or (2) G is countable and contains an infinite amenable subgroup. | ca_CA |
dc.description.sponsorShip | Funding for open access charge: CRUE-Universitat Jaume I | |
dc.format.extent | 21 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Elsevier | ca_CA |
dc.publisher | Academic Press | ca_CA |
dc.relation.isPartOf | J. Math. Anal. Appl. 512 (2022) 126137 | ca_CA |
dc.rights | 0022-247X/© 2022 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/). | ca_CA |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | ca_CA |
dc.subject | arens-regular banach algebra | ca_CA |
dc.subject | Von Neumann algebra | ca_CA |
dc.subject | orthogonal set | ca_CA |
dc.subject | extremely non-Arens regular | ca_CA |
dc.subject | weighted group algebras | ca_CA |
dc.subject | Fourier algebra | ca_CA |
dc.title | Orthogonal ℓ1-sets and extreme non-Arens regularity of preduals of von Neumann algebras | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | https://doi.org/10.1016/j.jmaa.2022.126137 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.type.version | info:eu-repo/semantics/publishedVersion | ca_CA |
Ficheros en el ítem
Este ítem aparece en la(s) siguiente(s) colección(ones)
-
IMAC_Articles [120]