Some notions of amenability for certain products of Banach algebras

Tom 130 / 2013

Eghbal Ghaderi, Rasoul Nasr-Isfahani, Mehdi Nemati 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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