On the Feichtinger Conjecture

2013/02/08 by P. Găvruţa, P. Gavruta, Gavruta, P.
Mathematics · #42C15 #46C05 #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Mathematical Analysis and Transform Methods #math.FA #msc:42C15 #msc:46C05

paper · pdf · doi:10.48550/arxiv.1302.1995

6 pages

openalex publication_date 2013/02/08 · arxiv created 2013/03/02 · arxiv updated 2013/03/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the Feichtinger Conjecture for a class of Bessel sequences of unit norm vectors in a Hilbert space. Also, we prove that every Bessel sequence of unit vectors in a Hilbert space can be partitioned into finitely many uniformly separated sequences.

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