In a previous paper (Arens; these references are to the bibliography of the present paper) there was investigated (in a more general, abstract setting) the process of forming the adjoint operation m*\ Z-XX^Ydefined, for fEZ~, xEX, by TM*(f, x)(y) = f(m(x, y)) (y £ F). The simple proof that m* satisfies 1.1, 1.2, and 1.3 with the same value of M is given in (Arens). This construction can be iter...

‎We present a characterization of Arens regular semigroup algebras‎ ‎$ell^1(S)$‎, ‎for a large class of semigroups‎. ‎Mainly‎, ‎we show that‎ ‎if the set of idempotents of an inverse semigroup $S$ is finite‎, ‎then $ell^1(S)$ is Arens regular if and only if $S$ is finite‎.

Cannibalism as a topic of interest, both general and anthropological, has seen a revival of concern in the last seven years or so. Primarily responsible for this revival is the controversial stance taken by William Arens in his book, The ManEating Myth: Anthropology and Anthropophagy (1979). Following the publication of this work has been a deluge of articles and books, popular and specialized,...

The aim of this paper is to exploit the structure strongly continuous operator semigroups in order formulate a categorical framework which fresh perspective can be applied past theoretic results. In particular, we investigate inverse-producing Arens extension for Banach algebras (Trans. Am. Math. Soc. 88:536–548, 1958) adapted operators and by Batty Geyer (J. Oper. Theory 78(2):473–500, 2017) n...

This study tested whether the gender intensification hypothesis applies to relations between multiple domain-specific self-concept facets and selfesteem. This hypothesis predicts gender-stereotypic differences in these relations and assumes they intensify with age. Furthermore, knowledge about gender-related or age-related differences in self-concept–self-esteem relations might provide valuable...