Let  $left{a_alpharight}_{alphain I}$ be a bounded net in a Banach algebra $A$ and $varphi$ a nonzero multiplicative linear functional on $A$. In this paper, we deal with the problem of when $|aa_alpha-varphi(a)a_alpha|to0$ uniformly for all $a$ in weakly compact subsets of $A$. We show that Banach algebras associated to locally compact groups such  as Segal algebras and $L^1$-algebras are resp...

Let L be a real (Hausdorff) topological vector space. The space %[L] of nonempty compact subsets of L forms a (Hausdorff) topological semivector space with singleton origin when 3C[L] is given the uniform (equivalently, the finite) hyperspace topology determined by L. Then %[L] is locally compact iff L is so. Furthermore, 90.[Z,], the set of nonempty compact convex subsets of L, is the largest ...

Let [n] = {1, 2, . . . , n} and let 2 be the collection of all subsets of [n] ordered by inclusion. C ⊆ 2 is a cutset if it meets every maximal chain in 2, and the width of C ⊆ 2 is the minimum number of chains in a chain decomposition of C. Fix 0 ≤ m ≤ l ≤ n. What is the smallest value of k such that there exists a cutset that consists only of subsets of sizes between m and l, and such that it...

The aim of this work is the formalization of Chapter 0 Section 4 of [11]. In this paper the definition of meet-continuous lattices is introduced. Theorem 4.2 and Remark 4.3 are proved. Let X, Y be non empty sets, let f be a function from X into Y , and let Z be a non empty subset of X. One can verify that f • Z is non empty. Let us note that every non empty relational structure which is reflexi...

introduction: the respiratory system is both a route of entry and exit for toxins and injurious agents, as well as being a target for chemical substances and pathogens. therefore, an understanding of the structure and function of the migratory cell populations of pulmonary tissues including alveolar macrophages is central in a number of important disease processes. this study aimed to identify ...

peripheral blood t lymphocytes and their subsets were studied in 31 patients with beta thalassemia major (age 2-12years) and compared with 14 age-arid sex-matched healthy controls. three monoclonal antibodies (anti-cd3, anti cd-f, unti-cds) were simultaneously applied for detection of th (cd3-, cd4^), tsk (cd3+, cd8+) and th/ts ratio by flow-cytometry respectively. the results of this study sho...

Closure (interior) operators and closure systems are important tools in many mathematical environments. Considering the logical sense of a complete residuated lattice L, this paper aims to present concepts L-closure (L-interior) by means infimums (supremums) L-families L-subsets show their equivalence categorical sense. Also, two types fuzzy relations between corresponding L-interior proposed, ...

1 . Introduction . In this paper we discuss various properties distinct integers n 1 , . . ., of taken from a short interval may have, such as f H n, e N"` for some m cN, m > 2 : the product of n l , . . ., of is a perfect i=1 power ; 11 n. _ fl n, for distinct subsets l i , 12 of ; l, . . ., f ; : there exist two icl I iEl ) distinct subsets of (n 1 , . . ., nf , that yield the same result if ...