Book contents
- Frontmatter
- Contents
- 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+, ω)
- Appendix 3 Quasicentral bounded approximate identities
- References
- Index
6 - Nilpotent semigroups and proper closed ideals
Published online by Cambridge University Press: 22 March 2010
- Frontmatter
- Contents
- 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+, ω)
- Appendix 3 Quasicentral bounded approximate identities
- References
- Index
Summary
- Type
- Chapter
- Information
- Continuous Semigroups in Banach Algebras , pp. 91 - 110Publisher: Cambridge University PressPrint publication year: 1982