Reflexivity and approximate reflexivity for bounded Boolean algebras of projections

Reflexivity and Hyperreflexivity of Bounded N-cocycles from Group Algebras

We introduce the concept of reflexivity for bounded n-linear maps and investigate the reflexivity of Zn(L1(G),X), the space of bounded ncocycles from L1(G)(n) into X, where L1(G) is the group algebra of a locally compact group G and X is a Banach L1(G)-bimodule. We show that Zn(L1(G), X) is reflexive for a large class of groups including groups with polynomial growth, IN-groups, maximally almos...

Invariant Subspaces and Hyper-reflexivity for Free Semigroup Algebras

In this paper, we obtain a complete description of the invariant subspace structure of an interesting new class of algebras which we call free semigroup algebras. This enables us to prove that they are reflexive, and moreover to obtain a quantitative measure of the distance to these algebras in terms of the invariant subspaces. Such algebras are called hyper-reflexive. This property is very str...

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...

Contexts, Biases, and Reflexivity

In a recent, welcome contribution, Predelli (2013) presents a fruitful and powerful framework on how truth-conditional semantics can deal with non-truth-conditional meaning. One of the gifts of Predelli’s contribution is that it presents a unifying theory dealing with seemingly various phenomena often relegated to the pragmatics dustbin. Thus, nicknames, slurs, answering machines/post-its, voca...

DIMENSIONS OF REFLEXIVITY by