In contrast to finite arithmetic configurations, relatively little is known about which infinite
patterns can be found in every set of natural numbers with positive density. Building on …

Let A be a Banach algebra, A∗, A∗∗ and A∗∗∗ be its first, second and third dual,
respectively. Let R: A∗∗∗−→ A∗ be the restriction map, J: A∗−→ A∗∗∗ be the canonical …

The use of remote sensing technology has made it possible for the non-contact
measurement of soil moisture content (SMC). Many remote sensing techniques can be used …

Let ω be a continuous weight on R+ and let L1 (ω) be the corresponding convolution
algebra. By results of Grønbæk and Bade & Dales the continuous derivations from L1 (ω) to …

For all convolution algebras L 1 [0, 1); L loc 1 and A (ω)=∩ n L 1 (ω n), the derivations are of
the form D μ f= Xf* μ for suitable measures μ, where (Xf)(t)= tf (t). We describe the (weakly) …

We consider the compactness of derivations from commutative Banach algebras into their
dual modules. We show that if there are no compact derivations from a commutative Banach …

Let $ A $ be a Banach algebra and $ X $ be an arbitrary Banach $ A $-module. In this paper,
we study the second transpose of derivations with value in dual Banach $ A $-module …

In this thesis, we aim to study derivations from l^ 1 (Z+) to its dual, l^\infty (Z+). We first
characterize them as certain closed subspace of l^ 1 (Z+). Then we present a necessary and …

We introduce notions of compactness and weak compactness for multilinear maps from a
product of normed spaces to a normed space, and prove some general results about these …