Monotone maps on diagonalizable matrices

Mikhail A. Efimov; Alexander E. Guterman

doi:10.7153/mia-17-106

Monotone maps on diagonalizable matrices

Mikhail A. Efimov, Alexander E. Guterman

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

Abstract

We characterize injective maps preserving ≤^#-order and maps strongly preserving <^#-order on the set of diagonalizable matrices.

Original language	English
Pages (from-to)	1441-1452
Number of pages	12
Journal	Mathematical Inequalities and Applications
Volume	17
Issue number	4
DOIs	https://doi.org/10.7153/mia-17-106
State	Published - 1 Oct 2014
Externally published	Yes

Keywords

Group inverse
Monotone matrix transformations
Sharp partial order

All Science Journal Classification (ASJC) codes

Applied Mathematics
General Mathematics

Access to Document

10.7153/mia-17-106

Cite this

@article{2eb2d32cba3748b0a911490ae19738ca,

title = "Monotone maps on diagonalizable matrices",

abstract = "We characterize injective maps preserving ≤\#-order and maps strongly preserving <\#-order on the set of diagonalizable matrices.",

keywords = "Group inverse, Monotone matrix transformations, Sharp partial order",

author = "Efimov, \{Mikhail A.\} and Guterman, \{Alexander E.\}",

note = "Publisher Copyright: {\textcopyright} Element.",

year = "2014",

month = oct,

day = "1",

doi = "10.7153/mia-17-106",

language = "الإنجليزيّة",

volume = "17",

pages = "1441--1452",

journal = "Mathematical Inequalities and Applications",

issn = "1331-4343",

publisher = "Element d.o.o.",

number = "4",

}

TY - JOUR

T1 - Monotone maps on diagonalizable matrices

AU - Efimov, Mikhail A.

AU - Guterman, Alexander E.

N1 - Publisher Copyright: © Element.

PY - 2014/10/1

Y1 - 2014/10/1

N2 - We characterize injective maps preserving ≤#-order and maps strongly preserving <#-order on the set of diagonalizable matrices.

AB - We characterize injective maps preserving ≤#-order and maps strongly preserving <#-order on the set of diagonalizable matrices.

KW - Group inverse

KW - Monotone matrix transformations

KW - Sharp partial order

UR - http://www.scopus.com/inward/record.url?scp=84908674765&partnerID=8YFLogxK

U2 - 10.7153/mia-17-106

DO - 10.7153/mia-17-106

M3 - مقالة

SN - 1331-4343

VL - 17

SP - 1441

EP - 1452

JO - Mathematical Inequalities and Applications

JF - Mathematical Inequalities and Applications

IS - 4

ER -

Monotone maps on diagonalizable matrices

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this