The Kadison-Singer problem in mathematics and engineering

被引：66

作者：

Casazza, PG ^{[1
]}

Tremain, JC ^{[1
]}

机构：

[1] Univ Missouri, Dept Math, Columbia, MO 65211 USA

来源：

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA | 2006年 / 103卷 / 07期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1073/pnas.0507888103

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

We will see that the famous intractible 1959 Kadison-Singer Problem in C*-algebras is equivalent to fundamental open problems in a dozen different areas of research in mathematics and engineering. This work gives all these areas common ground on which to interact as well as explaining why each area has volumes of literature on their respective problems without a satisfactory resolution.

引用

页码：2032 / 2039

页数：8

共 37 条

[1]

Akemann C., 1991, MEMOIRS AM MATH SOC, V94

[2] p-frames and shift invariant subspaces of LP [J].