Improved bounds in Weaver and Feichtinger conjectures

Marcin Bownik; Pete Casazza; Adam W. Marcus; Darrin Speegle

doi:10.1515/crelle-2016-0032

Improved bounds in Weaver and Feichtinger conjectures

Marcin Bownik, Pete Casazza, Adam W. Marcus, Darrin Speegle

Mathematics

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

We sharpen the constant in the KS ₂ Conjecture of Weaver [31] that was given by Marcus, Spielman and Srivastava [28] in their solution of the Kadison-Singer problem. We then apply this result to prove optimal asymptotic bounds on the size of partitions in the Feichtinger Conjecture.

Original language	English (US)
Pages (from-to)	267-293
Number of pages	27
Journal	Journal fur die Reine und Angewandte Mathematik
Volume	2019
Issue number	749
DOIs	https://doi.org/10.1515/crelle-2016-0032
State	Published - 2019

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1515/crelle-2016-0032

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title = "Improved bounds in Weaver and Feichtinger conjectures",

abstract = " We sharpen the constant in the KS 2 Conjecture of Weaver [31] that was given by Marcus, Spielman and Srivastava [28] in their solution of the Kadison-Singer problem. We then apply this result to prove optimal asymptotic bounds on the size of partitions in the Feichtinger Conjecture.",

author = "Marcin Bownik and Pete Casazza and Marcus, {Adam W.} and Darrin Speegle",

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AU - Casazza, Pete

AU - Marcus, Adam W.

AU - Speegle, Darrin

PY - 2019

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AB - We sharpen the constant in the KS 2 Conjecture of Weaver [31] that was given by Marcus, Spielman and Srivastava [28] in their solution of the Kadison-Singer problem. We then apply this result to prove optimal asymptotic bounds on the size of partitions in the Feichtinger Conjecture.

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DO - 10.1515/crelle-2016-0032

M3 - Article

AN - SCOPUS:85060217576

SN - 0075-4102

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JO - Journal fur die Reine und Angewandte Mathematik

JF - Journal fur die Reine und Angewandte Mathematik

IS - 749

ER -

Improved bounds in Weaver and Feichtinger conjectures

Abstract

All Science Journal Classification (ASJC) codes

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