Concrete constructions of non-pavable projections

2010/05/12 by Peter G. Casazza, Casazza, Peter G., Matt Fickus +6
Engineering · Mathematics · #42C15 #46C05 #46C07 #Advanced Numerical Analysis Techniques #Algebraic and Geometric Analysis #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #math.FA #msc:42C15 #msc:46C05 #msc:46C07

paper · pdf · doi:10.48550/arxiv.1005.2164

arxiv created 2010/05/12 · openalex publication_date 2010/05/12 · arxiv updated 2010/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is known that the paving conjecture fails for 2-paving projections with constant diagonal 1/2. But the proofs of this fact are existence proofs. We will give concrete examples of these projections and projections with constant diagonal 1/r which are not r-pavable in a very strong sense.

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