Let G be a locally compact group. We use the canonical operator space structure on the spaces L(G) for p ∈ [1,∞] introduced by G. Pisier to define operator space analoguesOAp(G) of the classical Figà-Talamanca–Herz algebrasAp(G). If p ∈ (1,∞) is arbitrary, then Ap(G) ⊂ OAp(G) such that the inclusion is a contraction; if p = 2, then OA2(G) ∼= A(G) as Banach spaces spaces, but not necessarily as ...

In the Semantic Web, ontologies provide the required vocabulary for a meaningful and machine-understandable interpretation of data. Nowadays, expressive ontologies are usually written in the W3C standard language called the Web Ontology Language (OWL). In order to leverage the full power of OWL for emerging Semantic Web applications, ontology reasoning holds a key position by allowing access to...

The approximate string matching problem is to find all locations at which a query of length m matches a substring of a text of length n with k-or-fewer differences. Nowadays, with the advent of novel high throughput sequencing technologies, the approximate string matching algorithms are used to identify similarities, molecular functions and abnormalities in DNA sequences. We consider a generali...

Amenability of any of the algebras described in the title is known to force them to be finite-dimensional. The analogous problems for approximate amenability have been open for some years now. In this article we give a complete solution for the first two classes, using a new criterion for showing that certain Banach algebras without bounded approximate identities cannot be approximately amenabl...