n[member of]N] is an algebra sequence, then D(X,M) is a

normed algebra.

Every unital (commutative or not)

normed algebra (similarly, every unital p-

normed algebra with p [member of] (0,1]) is a TQ-algebra, hence also a TQ-algebras (see [12], Proposition 2.

Let A be a

normed algebra, [sigma] and [tau] two mappings on A and let M be an A-bimodule.

B] of A, generated by B, is a

normed algebra with respect to the submultiplicative norm [parallel] x [parallel], defined by

Then (E, [tau]) is a complete locally m-convex algebra and (B, 0)-barrelled (namely, a barrelled one) and it is not a

normed algebra.

Moreover, it is complete and barrelled, but neither unital or a

normed algebra.

Given an internal

normed algebra X, the finite part of Xis

mu]]) is a

normed algebra with the norm [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.

But in any

normed algebra, [beta] is less than or equal to the norm.

Participants of the July 2008 conference share recent research on affine transformation crossed product type algebras and noncommutative surfaces, C*-algebras associated with iterated function systems, extending representations of

normed algebras in Banach spaces, and freeness of group actions on C*-algebras.

Feinstein, Completions of

normed algebras of differentiable functions, Studia Math.

Duncan, Complete

normed algebras, Springer-Verlag, Berlin, 1973.