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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. and Lashkarizadeh Bami,M. (2013). \phi-Amenable and \phi-biflat Banach algebras. Bulletin of the Iranian Mathematical Society, 39(3), 507-515.
MLA
Ghorbani,Z. , and 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
Z. Ghorbani and M. Lashkarizadeh Bami, "\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.
