Geodesic
Remarks on Naimark dilation theorem
Canadian mathematical bulletin, Tome 67 (2024) no. 2, pp. 469-477

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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.
DOI : 10.4153/S0008439523000899
Mots-clés : Naimark dilation theorem, Parseval frame, dual frame, Riesz basis 
Kużel, Sergiusz. Remarks on Naimark dilation theorem. Canadian mathematical bulletin, Tome 67 (2024) no. 2, pp. 469-477. doi: 10.4153/S0008439523000899
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     title = {Remarks on {Naimark} dilation theorem},
     journal = {Canadian mathematical bulletin},
     pages = {469--477},
     year = {2024},
     volume = {67},
     number = {2},
     doi = {10.4153/S0008439523000899},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439523000899/}
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