Continuous Semigroups in Banach Algebras

Klappentext In these notes the abstract theory of analytic one-parameter semigroups in Banach algebras is discussed. Zusammenfassung In these notes the abstract theory of analytic one-parameter semigroups in Banach algebras is discussed! with the Gaussian! Poisson and fractional integral semigroups in convolution Banach algebras serving as motivating examples. Inhaltsverzeichnis 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.

Dettagli sul prodotto

• Autori: Allan M. Sinclair
• Con la collaborazione di: N. J. Hitchin (Editore)
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 17.06.1982
• EAN: 9780521285988
• ISBN: 978-0-521-28598-8
• Pagine: 152
• Serie: London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Aritmetica, algebra