Two unsolved problems on almost periodic type functions

✍ Scribed by Chuanyi Zhang; Junwei Liu

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 245 KB
• Volume: 23
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/j.aml.2010.05.001

✦ Synopsis

We first show that like a scalar-valued case, a vector-valued weakly almost periodic function also satisfies the Parseval's equality. Then we show that the space of vector-valued weakly almost periodic functions is a proper subspace of pseudo almost periodic functions.

These solve two open questions on almost periodic type functions.