Our aim is to give an explicit description of the Arens-Michael envelope for universal enveloping algebra a finite-dimensional nilpotent complex Lie algebra. It turns out that belongs class completions introduced by R.~Goodman in 70s. To find precise form this we preliminary characterize set holomorphic functions exponential type on simply connected group. This approach leads unexpected connect...

Let S(0,1) be the *-algebra of all classes Lebesgue measurable functions on unit interval (0,1) and let a complete symmetric Δ-normed *-subalgebra S(0,1), in which simple are dense, e.g., L∞(0,1), Llog(0,1), Arens algebra Lω(0,1) equipped with their natural Δ-norms. We show that there exists no non-trivial derivation commuting dyadic translations interval. type II (or I∞) von Neumann algebra, a...

A first checklist of the Iranian Chrysididae is proposed. The list includes 184 species in 20 genera. Seventy species and genera Spinolia Dahlbom, 1854, Spintharina Semenov, 1892, Trichrysis Lichtenstein, 1876 are newly recorded from Iran. New combination is proposed for Chrysura laconiae (Arens, 2001), comb. nov. (from Chrysis) and Chrysurapyrogaster turca (Linsenmaier, 1997), comb. nov. (from...

In this paper we shall study the multipliers on Banach algebras and We prove some results concerning Arens regularity and amenability of the Banach algebra M(A) of all multipliers on a given Banach algebra A. We also show that, under special hypotheses, each Jordan multiplier on a Banach algebra without order is a multiplier. Finally, we present some applications of m...

Most of the tests of liver function normally performed in a routine laboratory depend on quantitative and qualitative changes in the serum proteins. Since it is now well established that the serum protein pattern in Africans differs significantly from that generally accepted as normal for Europeans (Arens and Brock, 1954; Edozien, 1957; Holmes, Stanier, Semambo, and Jones, 1951 ; Schofield, 195...

We denote by T 2 the torus: z = exp iθ, w = exp iφ, and we fix a positive irrational number α. Aα denotes the space of continuous functions f on T 2 whose Fourier coefficient sequence is supported by the lattice half-plane n + mα ≥ 0. R. Arens and I. Singer introduced and studied the space Aα, and it turned out to be an interesting generalization of the disk algebra. Here we construct a differe...

REFERENCES 1. Council Directive 80/778/EEC [European Economic Community] concerning the quality of drinking water intended for human consumption. July 15,1980. 2. Martin MV. The significance of the bacterial contamination of dental unit water systems. Br Dent J 1987;163:152-154. 3. Williams JF, Huntington MK, Johnston AM. Dental waterlines. A source of contamination. Infection Control and Steri...

Let K be a locally compact p-adic field, g a split reductive Lie algebra over K and U(g) its universal enveloping algebra. We investigate the category Cg of coadmissible modules over the p-adic Arens-Michael envelope Û(g) of U(g). Let p ⊆ g be a parabolic subalgebra. The main result gives a canonical equivalence between the classical parabolic BGG category of g relative to p and a certain expli...