Topics in Operator Semigroups

• Main Author: Kantorovitz, Shmuel. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Boston : Birkhũser Boston, 2010.
• Series: Progress in Mathematics ; 281
• Subjects: Mathematics.; Algebra.; Group theory.; Operator theory.; Operator Theory.; Group Theory and Generalizations.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-0-8176-4932-6

The theory of operator semigroups was essentially discovered in the early 1930s. Since then, the theory has developed into a rich and exciting area of functional analysis and has been applied to various mathematical topics such as Markov processes, the abstract Cauchy problem, evolution equations, a...

Table of Contents:

• Introduction
• Part I. General Theory. Basic theory. The semi-simplicity space. Analyticity. The semigroup as a function of its generator. Large parameter. Boundary values
• Part II. Generalizations. Pre-semigroups. The semi-simplicity space. Families of unbounded symmetric operators. Dependence on parameters
• Notes and References. Bibliography.