On the general theory of operator semigroups

CONTENTS Introduction Chapter I. Relatively σ-bounded operators and analytic groups of operators with kernels §1.1. Relatively σ-bounded operators §1.2. Groups of solution operators §1.3. Conditions for the existence of phase spaces §1.4. Some special cases §1.5. Some generalizations §1.6. Applications Chapter II. Relatively p-sectorial operators and analytic semigroups of operators with kernels §2.1. Relatively p-sectorial operators §2.2. Semigroups of solution operators §2.3. Phase spaces §2.4. Identity elements in semigroups §2.5. A counterexample §2.6.