Diagonalization and unitary equivalence modulo Schatten p-classes

被引：4

作者：

Xia, JB ^{[1
]}

机构：

[1] SUNY Buffalo, Dept Math, Buffalo, NY 14260 USA

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2000年 / 175卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1006/jfan.2000.3614

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a necessary and sufficient condition for a commuting tuple A=(A(1), ..., A(n)) of self-adjoint operators to be simultaneously diagonalizable module C-p, 1 < p < .infinity (C) 2000 Academic Press.

引用

页码：279 / 307

页数：29

共 50 条

[11] P-CLASSES OF AN H]-ALGEBRA
SMITH, JF
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1971, 18 (06): : 927 - &
[12] CLOSURES OF UNITARY EQUIVALENCE CLASSES
HADWIN, DW
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 22 (01): : A193 - A194
[13] THE PROBLEM OF CORRELATION OF P-CLASSES AND NP-CLASSES
TIAGUNOV, LI
DOKLADY AKADEMII NAUK SSSR, 1985, 284 (03): : 560 - 563
[14] Equivalence classes of permutations modulo excedances
Baril, Jean-Luc
Mansour, Toufik
Petrossian, Armen
JOURNAL OF COMBINATORICS, 2014, 5 (04) : 453 - 469
[15] UNITARY EQUIVALENCE OF ESSENTIALLY NORMAL OPERATORS MODULO THE COMPACTS
ODONOVAN, DP
PROCEEDINGS OF THE ROYAL IRISH ACADEMY SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES, 1980, 80 (02) : 147 - 153
[16] CLOSURES OF UNITARY EQUIVALENCE CLASSES - PRELIMINARY REPORT
HADWIN, DW
NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 21 (02): : A306 - A306
[17] Equivalence classes of Dyck paths modulo some statistics
Baril, Jean-Luc
Petrossian, Armen
DISCRETE MATHEMATICS, 2015, 338 (04) : 655 - 660
[18] UNITARY EQUIVALENCE MODULO TRACE CLASS FOR SELF-ADJOINT OPERATORS
CAREY, RW
PINCUS, JD
AMERICAN JOURNAL OF MATHEMATICS, 1976, 98 (02) : 481 - 514
[19] Equivalence classes of minimal zero-sequences modulo a prime
Chapman, ST
Freeze, M
Smith, WW
IDEAL THEORETIC METHODS IN COMMUTATIVE ALGEBRA, 2001, 220 : 133 - 145
[20] Equivalence classes of non-local unitary operations
Dür, W
Cirac, JI
QUANTUM INFORMATION & COMPUTATION, 2002, 2 (03) : 240 - 254

← 1 2 3 4 5 →