Banach-valued probability measures

✍ Scribed by A.K. Gaur

• Book ID: 104349402
• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 268 KB
• Volume: 15
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(02)00063-0

✦ Synopsis

We introduce and study the notion of Banach-valued probability measures on a compact semitopological semigroup. In particular, we prove that these measures are nontrivial idempotents and convolution is separately continuous. We give an example of a Banach-valued measure where the support may not be simple; though for any idempotent measure the support is a closed simple subsemigroup.