On l1-Invariant Sequence Spaces

✍ Scribed by K.-G. Grosse-Erdmann

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 154 KB
• Volume: 262
• Category: Article
• ISSN: 0022-247X
• DOI: 10.1006/jmaa.2001.7546

✦ Synopsis

We introduce and investigate a new sectional property for topological sequence spaces, which we call the KB property. It turns out that multipliers into l ∞ and multiplication by l 1 play a very similar role for KB as multipliers into bs and multiplication by bv 0 do for the well-known sectional property AB. However, we also encounter significant differences. One of these differences motivates the study of l 1 -invariant sequence spaces, that is, sequence spaces E with l 1 E = E.  2001 Academic Press