On the Connection Between the Properties of Completeness and Unconditional Convergence for Orthogonal Systems
Abstract
It is proved that there exists an orthonormal system that is not a system of unconditional convergence and, moreover, is not complete in the L2-metric on any set of positive measure. Bibliography: 8 titles.
- Publication:
-
Sbornik: Mathematics
- Pub Date:
- April 1983
- DOI:
- 10.1070/SM1983v045n04ABEH001022
- Bibcode:
- 1983SbMat..45..507T