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Department of Mathematics, University of Isfahan
Abstract
In this paper we study the concept of ph-biatness of a Banach algebra A, where ph is a continuous homomorphism on A. We prove that if ph is a continuous epimorphism on A and A has a bounded approximate identity and A is ph- bi at, then A is ph-amenable. In the case where ph is an isomorphism on A we show that the ph- amenability of A implies its ph-bi atness.
Ghorbani, Z. & Lashkarizadeh Bami, M. (2013). \phi-Amenable and \phi-biflat Banach algebras. Bulletin of the Iranian Mathematical Society, 39(3), 507–515.
MLA
Ghorbani, Z., & Lashkarizadeh Bami, M. "\phi-Amenable and \phi-biflat Banach algebras", Bulletin of the Iranian Mathematical Society, 39, 3, 2013, 507–515.
HARVARD
Ghorbani, Z., & Lashkarizadeh Bami, M. (2013). '\phi-Amenable and \phi-biflat Banach algebras', Bulletin of the Iranian Mathematical Society, 39(3), pp. 507–515.
CHICAGO
Ghorbani, Z. & Lashkarizadeh Bami, M., "\phi-Amenable and \phi-biflat Banach algebras." Bulletin of the Iranian Mathematical Society, 39 3 (2013): 507–515,
VANCOUVER
Ghorbani Z., Lashkarizadeh Bami M. \phi-Amenable and \phi-biflat Banach algebras. BIMS. 2013;39(3):507–515.