C.M.S. • Fredericton, NB • June 2010

**Meditations on Arens Multiplication**

F.E.J. Linton • Wesleyan Univ. Math/CS Emeritus

F.E.J. Linton • Wesleyan Univ. Math/CS Emeritus

Richard Arens, Operations induced in function classes.

Shows that ** (double dualization) in linear spaces, or in Banach spaces, is a monoidal functor, but not a symmetric one ...

... a good decade before monoidal categories or their relatives (closed categories, multilinear categories) were consciously recognized as such.

Arens’s formalization — of