A locally compact group G is discrete if and only the Fourier algebra A(G) has a non-zero (weakly) multiplier. We partially extend this result to setting of ultraspherical hypergroups. Let H be an hypergroup let A(H) denote corresponding algebra. will give several characterizations discreteness in terms algebraic properties A(H). also study Arens regularity closed ideals

Methanosarcina sp. strain TM-1 and Methanosarcina acetivorans produced and consumed H(2) to maintain H(2) partial pressures of 16 to 92 Pa in closed cultures during growth on acetate. Strain TM-1 produced H(2) continuously when H(2) was continuously removed from the culture. The potential physiological significance of H(2) in acetate metabolism to methane is discussed.

Let H be a closed, noncompact subgroup of a simple Lie group G, such that G/H admits an invariant Lorentz metric. We show that if G = SO(2, n), with n ≥ 3, then the identity component H of H is conjugate to SO(1, n). Also, if G = SO(1, n), with n ≥ 3, then H is conjugate to SO(1, n− 1).

In this article we study the modular graph product, ♦, that is known to preserve the property of being 3-existentially closed (i.e., 3-e.c.). We produce new families of 3-e.c. graphs G♦H such that neither G nor H is required to be 3-e.c. Assuming that G is weakly 3-existentially closed with certain adjacency properties, we find the sufficient conditions on the adjacency properties of H such tha...

This note shows that PH = H = J H = J m H holds for any non-trivial extension closed pseudovariety of groups. It is known that BH 6 = J m H if H 6 = G. Hence, we generalize as much as possible of the equation PG = BG.

Let S∞ denote the symmetric group on the natural numbers N. Then S∞ is a Polish group with the topology inherited from NN with the product topology and the discrete topology on N. Let d denote the least cardinality of a dominating family for NN and let c denote the continuum. Using theorems of Galvin, and Bergman and Shelah we prove that if G is any subgroup of S∞ that is closed in the above to...

The working state of freguency-operated asinchronous motor irrigation pump in the closed system with feedback by velocity are considered. issue coefficient, provided a constancy given value, loading coefficient for voltage control pro rata freguency determined. Let us consider static mode operation frequency-controlled AM speed feedback. A decrease rotation pumps to regulate their productivity ...

We will extend the main result of [1] to non-unital case with a totally different proof. More precisely, we give an abstract characterization arbitrary self-adjoint weak⁎-closed subspace L(H) (equipped induced matrix norm, cone and weak⁎-topology). In order do this, analogue Bonsall for ⁎-operator spaces equipped closed cones.

S. Garćıa-Ferreira and H. Ohta gave a construction that was intended to produce a τ -pseudocompact space, which has a regular-closed zero set A and a regular-closed C-embedded set B such that neither A nor B is τ pseudocompact. We show that although their sets A, B are not regular-closed, there are at least two ways to make their construction work to give the desired example.

This paper considers the problem of delay-dependent robust optimal H∞ control for a class of uncertain two-dimensional (2-D) discrete state delay systems described by the general model (GM). The parameter uncertainties are assumed to be normbounded. A linear matrix inequality (LMI)-based sufficient condition for the existence of delay-dependent γ-suboptimal state feedback robust H∞ controllers ...