Weak * -continuous derivations in dual Banach algebras

M. Eshaghi-Gordji; A. Ebadian; F. Habibian; B. Hayati

Archivum Mathematicum (2012)

  • Volume: 048, Issue: 1, page 39-44
  • ISSN: 0044-8753

Abstract

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Let 𝒜 be a dual Banach algebra. We investigate the first weak * -continuous cohomology group of 𝒜 with coefficients in 𝒜 . Hence, we obtain conditions on 𝒜 for which H w * 1 ( 𝒜 , 𝒜 ) = { 0 } .

How to cite

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Eshaghi-Gordji, M., et al. "Weak$^*$-continuous derivations in dual Banach algebras." Archivum Mathematicum 048.1 (2012): 39-44. <http://eudml.org/doc/246455>.

@article{Eshaghi2012,
abstract = {Let $\mathcal \{A\}$ be a dual Banach algebra. We investigate the first weak$^*$-continuous cohomology group of $\mathcal \{A\}$ with coefficients in $\mathcal \{A\}$. Hence, we obtain conditions on $\{\mathcal \{A\}\}$ for which \[ H^1\_\{w^*\}(\mathcal \{A\}, \mathcal \{A\})=\lbrace 0\rbrace \,. \]},
author = {Eshaghi-Gordji, M., Ebadian, A., Habibian, F., Hayati, B.},
journal = {Archivum Mathematicum},
keywords = {Arens product; 2-weakly amenable; derivation; Arens product; 2-weakly amenable; derivation},
language = {eng},
number = {1},
pages = {39-44},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Weak$^*$-continuous derivations in dual Banach algebras},
url = {http://eudml.org/doc/246455},
volume = {048},
year = {2012},
}

TY - JOUR
AU - Eshaghi-Gordji, M.
AU - Ebadian, A.
AU - Habibian, F.
AU - Hayati, B.
TI - Weak$^*$-continuous derivations in dual Banach algebras
JO - Archivum Mathematicum
PY - 2012
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 048
IS - 1
SP - 39
EP - 44
AB - Let $\mathcal {A}$ be a dual Banach algebra. We investigate the first weak$^*$-continuous cohomology group of $\mathcal {A}$ with coefficients in $\mathcal {A}$. Hence, we obtain conditions on ${\mathcal {A}}$ for which \[ H^1_{w^*}(\mathcal {A}, \mathcal {A})=\lbrace 0\rbrace \,. \]
LA - eng
KW - Arens product; 2-weakly amenable; derivation; Arens product; 2-weakly amenable; derivation
UR - http://eudml.org/doc/246455
ER -

References

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