NON-SPECTRAL ASYMPTOTIC ANALYSIS OF ONE-PARAMETER OPERATOR SEMIGROUPS

By ABIGAIL SMITH

CONTENTS ELEMENTARY THEORY OF ONE-PARAMETER SEMIGROUPS MEAN ERGODIC THEOREMS ELEMENTARY THEORY OF C0-SEMIGROUPS CONSTRICTIVE AND QUASI-CONSTRICTIVE SEMIGROUPS POSITIVE SEMIGROUPS IN ORDERED BANACH SPACES ORDERED BANACH SPACES, CONSTRICTORS, DOMINATION POSITIVE SEMIGROUPS IN BANACH LATTICES POSITIVE SEMIGROUPS AND GEOMETRY OF BANACH LATTICES POSITIVE SEMIGROUPS IN L1-SPACES MEAN ERGODICITY OF POSITIVE SEMIGROUPS IN L1-SPACES STABILITY AND LOWER-BOUNDS FOR POSITIVE SEMIGROUPS IN L1-SPACES POSITIVE SEMIGROUPS IN NON-COMMUTATIVE L1-SPACES