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## Some notions of amenability for certain products of Banach algebras

### Tom 130 / 2013

Colloquium Mathematicum 130 (2013), 147-157 MSC: Primary 46H05, 46H25; Secondary 43A07, 43A10, 43A20. DOI: 10.4064/cm130-2-1

#### Streszczenie

For two Banach algebras $\cal A$ and $\cal B$, an interesting product ${\cal A}\times _{\theta }{\cal B}$, called the $\theta$-Lau product, was recently introduced and studied for some nonzero characters $\theta$ on $\cal B$. Here, we characterize some notions of amenability as approximate amenability, essential amenability, $n$-weak amenability and cyclic amenability between $\cal A$ and $\cal B$ and their $\theta$-Lau product.

#### Autorzy

• Eghbal GhaderiDepartment of Mathematical Sciences
Isfahan University of Technology
Isfahan 84156-83111, Iran
and
School of Mathematics
Institute for Research in Fundamental Sciences (IPM)
e-mail
• Rasoul Nasr-IsfahaniDepartment of Mathematical Sciences
Isfahan University of Technology
Isfahan 84156-83111, Iran
and
School of Mathematics
Institute for Research in Fundamental Sciences (IPM)
e-mail
• Mehdi NematiDepartment of Mathematical Sciences
Isfahan University of Technology
Isfahan 84156-83111, Iran
and
School of Mathematics
Institute for Research in Fundamental Sciences (IPM)
P. O. Box 19395-5746, Tehran, Iran
e-mail

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