A class of polynomials from Banach spaces into Banach algebras

amenability of banach algebras

chapters 1 and 2 establish the basic theory of amenability of topological groups and amenability of banach algebras. also we prove that. if g is a topological group, then r (wluc (g)) (resp. r (luc (g))) if and only if there exists a mean m on wluc (g) (resp. luc (g)) such that for every wluc (g) (resp. every luc (g)) and every element d of a dense subset d od g, m (r)m (f) holds. chapter 3 inv...

A New Class of Banach Sequence Spaces

A Class of Hereditarily $ell_p(c_0)$ Banach spaces

We extend the class of Banach sequence spaces constructed by Ledari, as presented in ''A class of hereditarily $ell_1$ Banach spaces without Schur property'' and obtain a new class of hereditarily $ell_p(c_0)$ Banach spaces for $1leq p<infty$. Some other properties of this spaces are studied.

Banach Spaces Embedding Into

Our main result in this paper is that a Banach space X embeds into L, if and only if l~(X) embeds into Lo; more generally if 1 _-< p < 2, X embeds into Lp if and only if lp (X) embeds into L~,.

a new class of banach sequence spaces

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