HERMITIANS IN MATRIX ALGEBRAS WITH OPERATOR NORM

被引：3

作者：

Crabb, Michael J. ^{[1
]}

Duncan, John ^{[2
]}

McGregor, Colin M. ^{[1
]}

机构：

[1] Univ Glasgow, Sch Math & Stat, Glasgow G12 8QW, Lanark, Scotland

[2] Univ Arkansas, Dept Math Sci, Fayetteville, AR 72701 USA

来源：

GLASGOW MATHEMATICAL JOURNAL | 2021年 / 63卷 / 02期

关键词：

D O I：

10.1017/S0017089520000178

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate the real space H of Hermitian matrices in M-n(C) with respect to norms on C-n. For absolute norms, the general form of Hermitian matrices was essentially established by Schneider and Turner [Schneider and Turner, Linear and Multilinear Algebra (1973), 9-31]. Here, we offer a much shorter proof. For non-absolute norms, we begin an investigation of H by means of a series of examples, with particular reference to dimension and commutativity.

引用

页码：280 / 290

页数：11

共 50 条

[31] Maps between the positive definite cones of operator algebras preserving a norm of a geodesic correspondence
Molnar, Lajos
ACTA SCIENTIARUM MATHEMATICARUM, 2018, 84 (3-4): : 451 - 463
[32] Are operator algebras Banach algebras?
Blecher, DP
BANACH ALGEBRAS AND THEIR APPLICATIONS, 2004, 363 : 53 - 58
[33] NORM FOR MODULES AND ALGEBRAS
KNUS, MA
OJANGUREN, M
MATHEMATISCHE ZEITSCHRIFT, 1975, 142 (01) : 33 - 45
[34] NORM POLYNOMIALS AND ALGEBRAS
SALTMAN, DJ
JOURNAL OF ALGEBRA, 1980, 62 (02) : 333 - 345
[35] Matrix Bundles and Operator Algebras Over a Finitely Bordered Riemann Surface
McCormick, Kathryn
COMPLEX ANALYSIS AND OPERATOR THEORY, 2019, 13 (03) : 659 - 671
[36] Best approximation of κ-random operator inequalities in matrix MB-algebras
Masoumeh Madadi
Donal O’Regan
Themistocles M. Rassias
Reza Saadati
Journal of Inequalities and Applications, 2021
[37] Best approximation of κ-random operator inequalities in matrix MB-algebras
Madadi, Masoumeh
O'Regan, Donal
Rassias, Themistocles M.
Saadati, Reza
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
[38] Generating integrable lattice hierarchies by some matrix and operator Lie algebras
Yu-Feng Zhang
Yan Wang
Advances in Difference Equations, 2016
[39] Generating integrable lattice hierarchies by some matrix and operator Lie algebras
Zhang, Yu-Feng
Wang, Yan
ADVANCES IN DIFFERENCE EQUATIONS, 2016,
[40] Existence Results for Block Matrix Operator of Fractional Orders in Banach Algebras
Hashem, Hind
El-Sayed, Ahmed
Baleanu, Dumitru
MATHEMATICS, 2019, 7 (09)

← 1 2 3 4 5 →