Inverse Relations and Schauder Bases

✍ Scribed by I-Chiau Huang

• Book ID: 102586737
• Publisher: Elsevier Science
• Year: 2002
• Tongue: English
• Weight: 144 KB
• Volume: 97
• Category: Article
• ISSN: 0097-3165
• DOI: 10.1006/jcta.2001.3207

✦ Synopsis

The concept of inter-changes of Schauder bases is used to interpret inverse relations for sequences. For a given power series, the interplay between different representations by Schauder bases can result in combinatorial identities, new or known. Local cohomology residues and local duality are used for computations. The viewpoint of Riordan arrays is examined using Schauder bases.