Abstract
Abstract
Although Naimark dilation theorem was originally stated in 1940, it still finds many important applications in various areas. The objective of this paper is to introduce a method for explicitly constructing the vectors of complementary frames in the Naimark dilation theorem, specifically in cases where the initial Parseval frame contains a Riesz basis as a subset. These findings serve as a foundation for the construction of dual frames.
Publisher
Canadian Mathematical Society
Reference14 articles.
1. Remarks on Naimark’s duality;Czaja;Proc. Amer. Mat. Soc.,2008
2. On description of dual frames;Kamuda;Appl. Comput. Harmon. Anal.,2021
3. Representation systems and projections of bases;Terekhin;Math. Notes,2004
4. On excesses of frames;Bakić;Glas. Mat,2015