Isometries for unitarily invariant norms

Jor Ting Chan; Chi Kwong Li; Nung Sing Sze

doi:10.1016/j.laa.2004.05.017

Isometries for unitarily invariant norms

Jor Ting Chan
, Chi Kwong Li
, Nung Sing Sze

Research output: Journal article publication › Conference article › Academic research › peer-review

22 Citations (Scopus)

Abstract

A survey of linear isometries for unitarily invariant norms on real or complex rectangular matrices is given which includes some latest development on the topic. A result on isometries for unitarily invariant norms without the linearity assumption is presented. Related results and problems are discussed.

Original language	English
Pages (from-to)	53-70
Number of pages	18
Journal	Linear Algebra and Its Applications
Volume	399
Issue number	1-3
DOIs	https://doi.org/10.1016/j.laa.2004.05.017
Publication status	Published - 1 Apr 2005
Externally published	Yes
Event	International Meeting on Matrix Analysis and Applications - Ft. Lauderdale, Fl, United States Duration: 14 Dec 2003 → 16 Dec 2003

Keywords

Isometry
Singular values
Unitarily invariant norm

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2004.05.017

Cite this

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title = "Isometries for unitarily invariant norms",

abstract = "A survey of linear isometries for unitarily invariant norms on real or complex rectangular matrices is given which includes some latest development on the topic. A result on isometries for unitarily invariant norms without the linearity assumption is presented. Related results and problems are discussed.",

keywords = "Isometry, Singular values, Unitarily invariant norm",

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AU - Chan, Jor Ting

AU - Li, Chi Kwong

AU - Sze, Nung Sing

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N2 - A survey of linear isometries for unitarily invariant norms on real or complex rectangular matrices is given which includes some latest development on the topic. A result on isometries for unitarily invariant norms without the linearity assumption is presented. Related results and problems are discussed.

AB - A survey of linear isometries for unitarily invariant norms on real or complex rectangular matrices is given which includes some latest development on the topic. A result on isometries for unitarily invariant norms without the linearity assumption is presented. Related results and problems are discussed.

KW - Isometry

KW - Singular values

KW - Unitarily invariant norm

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U2 - 10.1016/j.laa.2004.05.017

DO - 10.1016/j.laa.2004.05.017

M3 - Conference article

SN - 0024-3795

VL - 399

SP - 53

EP - 70

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 1-3

T2 - International Meeting on Matrix Analysis and Applications

Y2 - 14 December 2003 through 16 December 2003

ER -

Isometries for unitarily invariant norms

Abstract

Keywords

ASJC Scopus subject areas

More information

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