We give a description of the continuity ideals and the kernels of homomorphisms from the algebras of continuous functions on locally compact spaces into Banach algebras.

We establish a necessary condition for a commutative Banach algebra A so that there exists a homomorphism θ from A into another Banach algebra such that the prime radical of the continuity ideal of θ… (More)

LTE (Long Term Evolution) supports QoS (Quality of Service) with several service classes. For each class of traffic, a big difference exists on BER (Bit Error Rate) requirement. This leads to a… (More)

Denote by c = 2א0 the cardinal of continuum. We construct an intriguing family (Pα : α ∈ c) of prime z-ideals in C0(R) with the following properties: • If f ∈ Pi0 for some i0 ∈ c, then f ∈ Pi for all… (More)

The purpose of this paper is to present some old and recent results for the class of F -algebras which include most classes of Banach algebras that are important in abstract harmonic analysis. We… (More)

Denote by c any set of cardinality continuum. It is proved that a Banach algebra A with the property that for every collection {aα : α ∈ c} ⊂ A there exist α 6= β ∈ c such that aα ∈ aβA is isomorphic… (More)

Let R be a commutative radical Fréchet algebra having a nonnilpotent element a with a ∈ Ra. Then R contains a continuum of incomparable prime ideals. In [3], J. Esterle proved the following result;… (More)

For a locally compact group G, the measure convolution algebra M(G) carries a natural coproduct. In previous work, we showed that the canonical predual C0(G) of M(G) is the unique predual which makes… (More)

Let G be a locally compact group, and take p ∈ (1,∞). We prove that the Banach left L(G)module L(G) is injective (if and) only if the group G is amenable. Our proof uses the notion of multi-norms. We… (More)