B. Shojaee

  1. Approximate weak amenability of Banach algebras.

    Authors: G. H. Esslamzadeh, B. Shojaee
    Subjects: Functional Analysis
    Abstract

    In this paper we deal with three generalized notions of amenability,
    approximate, approximate weak and approximate n-weak amenability. The first two
    were introduced and studied by Ghahramani and Loy in [5]. We introduce the
    third one. Then we investigate some properties of Banach algebras in each of
    these classes. Also we consider approximate weak amenability and approximate
    n-weak amenability of second duals.

  2. Approximate Connes-amenability of dual Banach algebras.

    Authors: G. H. Esslamzadeh, B. Shojaee
    Subjects: Functional Analysis
    Abstract

    We introduce the notions of approximate Connes-amenability and approximate
    strong Connes-amenability. Then we characterize these two types of dual Banach
    algebras in terms of approximate normal virtual diagonal and approximate
    $\sigma WC-$ virtual diagonals. Some concrete cases are also discussed.

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