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The present study explored the mediating role of cognitive and affective components of empathy in the relationship between happiness and positive and negative affect in adolescents with Asperger Syndrome (AS) and their non-AS peers. For that purpose, we measured empathy, subjective happiness, and affect experienced by a group of 42 adolescents with AS compared to 44 of their non-AS peers. Adolescents in both groups were matched on age, sex, and IQ, and were administered a battery of measures assessing their self-reports of empathy, perspective-taking, subjective happiness, and positive and negative affect. Findings revealed that adolescents with AS, in contrast to their peers without AS, reported less subjective happiness, less positive affect, and lower affective balance. No differences were found between the two groups on negative affect. A mediating role of both cognitive and affective components of empathy was found between happiness, positive affect, and affective balance experienced in relation to AS. Theoretical and practical implications of these results are discussed. [ABSTRACT FROM AUTHOR]

This paper introduces the class of p 1 , … , p m , σ , q , ν -nuclear m-linear operators between Banach spaces, as an intermediate space between the class of nuclear multilinear operators and the whole class of all bounded multilinear operators. The connection with the theory of summing m-linear operators is established. Moreover, we identify this space with a dual space by means of a reasonable crossnorm inspired by the Chevet–Saphar norm. [ABSTRACT FROM AUTHOR]

This article has two clear motivations, one technical and one practical. The technical motivation unifies in a single formulation a huge family of inequalities that have been produced separately over the last ninety years in different contexts. But we do not just join inequalities; our method also creates a family of inequalities that were invisible by previous approaches. The practical motivation is to show that our new approach has the strength to attack various problems. We provide new applications of our family of inequalities, continuing recent work by Maia, Nogueira, and Pellegrino. [ABSTRACT FROM AUTHOR]