1. Introduction and preliminaries 2. Analytic semigroups in particular Banach algebras 3. Existence of analytic semigroups - an extension of Cohen's factorization method 4. Proof of the existence of analytic semigroups 5. Restrictions on the growth of at 6. Nilpotent semigroups and proper closed ideals Appendix 1. The Ahlfors-Heins theorem Appendix 2. Allan's theorem - closed ideals in L1( R+,w) Appendix 3. Quasicentral bounded approximate identities References Index.
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