Metric Projections in Spaces of Integrable Functions

✍ Scribed by A.L. Brown

• Publisher: Elsevier Science
• Year: 1995
• Tongue: English
• Weight: 825 KB
• Volume: 81
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1006/jath.1995.1034

✦ Synopsis

The paper is concerned with the calculation of the derived mapping of the metric projection onto a finite dimensional subspace of a space of integrable functions. Abstract results for quotient spaces and for spaces which are (l^{\prime})-direct sums are obtained and are applied to real or complex spaces of integrable functions to obtain improvements of a number of results of Li for real spaces of integrable functions Metric projections onto one-dimensional subspaces of spaces of integrable functions are considered and it is shown that there is an essential difference between the real and complex cases. 1995 Academic Press. Inc