2004/10/15 by Wojciech Czaja, Czaja, Wojciech · 1 citation
Mathematics · #42C40 #Advanced Algebra and Geometry #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #math.FA #msc:42C40
paper · pdf · doi:10.48550/arxiv.math/0410348
arxiv created 2004/10/15 · openalex publication_date 2004/10/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present an extension of Naimark's duality principle which states that complete systems in a Hilbert space are projections of ω-linearly independent systems of elements of an ambient Hilbert space. This result is presented in the context of other known extensions of Naimark's theorem.