Addendum to ⇜amenability and weak amenability of second conjugate banach algebras”

F. Ghahramani; R. J. Loy; G. A. Willis

doi:10.1090/proc/15009

Addendum to ⇜amenability and weak amenability of second conjugate banach algebras”

F. Ghahramani, R. J. Loy, G. A. Willis

Research output: Contribution to journal › Article › peer-review

Abstract

The purpose of this note is to show that if A is a Banach algebra with the continuous dual space A^∗ and D : A → A^∗ is a weakly compact derivation, then D^∗∗ : A^∗∗ → A^∗∗∗ is also a derivation, where A^∗∗ has the first (or second) Arens product and A^∗∗∗ is viewed as the dual module of the Banach algebra A^∗∗.

Original language	English
Pages (from-to)	4573-4575
Number of pages	3
Journal	Proceedings of the American Mathematical Society
Volume	148
Issue number	10
DOIs	https://doi.org/10.1090/proc/15009
Publication status	Published - Oct 2020

Access to Document

10.1090/proc/15009

Cite this

@article{d6c0860a92524279bd1ea28c6ea3a6f4,

title = "Addendum to ⇜amenability and weak amenability of second conjugate banach algebras”",

abstract = "The purpose of this note is to show that if A is a Banach algebra with the continuous dual space A∗ and D : A → A∗ is a weakly compact derivation, then D∗∗ : A∗∗ → A∗∗∗ is also a derivation, where A∗∗ has the first (or second) Arens product and A∗∗∗ is viewed as the dual module of the Banach algebra A∗∗.",

keywords = "Arens product, Weakly amenable Banach algebra, Weakly compact derivation",

author = "F. Ghahramani and Loy, \{R. J.\} and Willis, \{G. A.\}",

note = "Publisher Copyright: {\textcopyright} 2020 American Mathematical Society",

year = "2020",

month = oct,

doi = "10.1090/proc/15009",

language = "English",

volume = "148",

pages = "4573--4575",

journal = "Proceedings of the American Mathematical Society",

issn = "0002-9939",

publisher = "American Mathematical Society",

number = "10",

}

TY - JOUR

T1 - Addendum to ⇜amenability and weak amenability of second conjugate banach algebras”

AU - Ghahramani, F.

AU - Loy, R. J.

AU - Willis, G. A.

PY - 2020/10

Y1 - 2020/10

N2 - The purpose of this note is to show that if A is a Banach algebra with the continuous dual space A∗ and D : A → A∗ is a weakly compact derivation, then D∗∗ : A∗∗ → A∗∗∗ is also a derivation, where A∗∗ has the first (or second) Arens product and A∗∗∗ is viewed as the dual module of the Banach algebra A∗∗.

AB - The purpose of this note is to show that if A is a Banach algebra with the continuous dual space A∗ and D : A → A∗ is a weakly compact derivation, then D∗∗ : A∗∗ → A∗∗∗ is also a derivation, where A∗∗ has the first (or second) Arens product and A∗∗∗ is viewed as the dual module of the Banach algebra A∗∗.

KW - Arens product

KW - Weakly amenable Banach algebra

KW - Weakly compact derivation

UR - https://www.scopus.com/pages/publications/85093645657

U2 - 10.1090/proc/15009

DO - 10.1090/proc/15009

M3 - Article

SN - 0002-9939

VL - 148

SP - 4573

EP - 4575

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

IS - 10

ER -

Addendum to ⇜amenability and weak amenability of second conjugate banach algebras”

Abstract

Access to Document

Other files and links

Fingerprint

Cite this