Eigenfunctionals for positive operators

Abstract

We establish an eigenfunctional theorem for positive operators, evocative of the Krein--Rutman theorem. A more general version gives a joint eigenfunctional for commuting operators.

v5: Theorem C slightly more general now. To appear in Proc. AMS. v4: changed latex compiler to fix cross-ref numbering. v3: typo, missing 'p' on page 8. v2: argument added for t \leq 1