The paving conjecture is equivalent to the paving conjecture for triangular matrices

2007/01/03 by Peter G. Casazza, Casazza, Peter G., Janet C. Tremain +1 · 2 citations
Computer Science · Mathematics · #46B07 #47A20 #47B99 #Algebraic and Geometric Analysis #Combinatorics #Conjecture #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematics #Matrix Theory and Algorithms #math.FA #msc:46B07 #msc:47A20 #msc:47B99

paper · pdf · doi:10.48550/arxiv.math/0701101

published in arXiv (Cornell University) (Cornell University)

arxiv created 2007/01/03 · openalex publication_date 2007/01/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We resolve a 25 year old problem by showing that The Paving Conjecture is equivalent to The Paving Conjecture for Triangular Matrices.

Related

• Some new equivalences of Anderson's paving conjectures
• Asymptotically Optimal Multi-Paving
• Projections and the Kadison-Singer Problem
• Concrete constructions of non-pavable projections
• A counterexample to a conjecture of Akemann and Anderson