Multipliers on a Banach algebra with a bounded approximate identity
نویسندگان
چکیده
منابع مشابه
Bounded Approximate Character Amenability of Banach Algebras
The bounded approximate version of $varphi$-amenability and character amenability are introduced and studied. These new notions are characterized in several different ways, and some hereditary properties of them are established. The general theory for these concepts is also developed. Moreover, some examples are given to show that these notions are different from the others. Finally, bounded ap...
متن کاملBanach Algebra of Bounded Functionals
Let V be a non empty additive loop structure and let V1 be a subset of V . We say that V1 has inverse if and only if: (Def. 1) For every element v of V such that v ∈ V1 holds −v ∈ V1. Let V be a non empty additive loop structure and let V1 be a subset of V . We say that V1 is additively-closed if and only if: (Def. 2) V1 is add closed and has inverse. Let V be a non empty additive loop structur...
متن کاملHereditary properties of amenability modulo an ideal of Banach algebras
In this paper we investigate some hereditary properties of amenability modulo an ideal of Banach algebras. We show that if $(e_alpha)_alpha$ is a bounded approximate identity modulo I of a Banach algebra A and X is a neo-unital modulo I, then $(e_alpha)_alpha$ is a bounded approximate identity for X. Moreover we show that amenability modulo an ideal of a Banach algebra A can be only considered ...
متن کاملφ−Multipliers on Banach Algebras and Topological Algebra Modules
In this paper we investigate some properties of φ−multipliers on Banach algebras. We also consider φ−multipliers in the general topological module setting. We discuss the φ−strict and φ−uniform topologies on Mφ(A). Mathematics Subject Classification: 47B48,47C05, 46H05, 46H25
متن کاملBounded approximate connes-amenability of dual Banach algebras
We study the notion of bounded approximate Connes-amenability for dual Banach algebras and characterize this type of algebras in terms of approximate diagonals. We show that bounded approximate Connes-amenability of dual Banach algebras forces them to be unital. For a separable dual Banach algebra, we prove that bounded approximate Connes-amenability implies sequential approximat...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1976
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1976.63.131