On Row-Sum Majorization
Let M n , m be the set of all n × m real or complex matrices. For A, B ∈ M n , m , we say that A is row-sum majorized by B (written as A ≺ rs B ) if R ( A ) ≺ R ( B ), where R ( A ) is the row sum vector of A and ≺ is the classical majorization on ℝ n . In the present paper, the structure of all lin...
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| Veröffentlicht in: | Czechoslovak Mathematical Journal 2019-12, Vol.69 (4), p.1111-1121 |
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| container_title | Czechoslovak Mathematical Journal |
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| creator | Akbarzadeh, Farzaneh Armandnejad, Ali |
| description | Let
M
n
,
m
be the set of all
n
×
m
real or complex matrices. For
A, B
∈
M
n
,
m
, we say that
A
is row-sum majorized by
B
(written as
A
≺
rs
B
) if
R
(
A
) ≺
R
(
B
), where
R
(
A
) is the row sum vector of
A
and ≺ is the classical majorization on ℝ
n
. In the present paper, the structure of all linear operators
T
:
M
n
,
m
→
M
n
,
m
preserving or strongly preserving row-sum majorization is characterized. Also we consider the concepts of even and circulant majorization on ℝ
n
and then find the linear preservers of row-sum majorization of these relations on
M
n
,
m
. |
| doi_str_mv | 10.21136/CMJ.2019.0084-18 |
| format | Article |
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M
n
,
m
be the set of all
n
×
m
real or complex matrices. For
A, B
∈
M
n
,
m
, we say that
A
is row-sum majorized by
B
(written as
A
≺
rs
B
) if
R
(
A
) ≺
R
(
B
), where
R
(
A
) is the row sum vector of
A
and ≺ is the classical majorization on ℝ
n
. In the present paper, the structure of all linear operators
T
:
M
n
,
m
→
M
n
,
m
preserving or strongly preserving row-sum majorization is characterized. Also we consider the concepts of even and circulant majorization on ℝ
n
and then find the linear preservers of row-sum majorization of these relations on
M
n
,
m
.</description><identifier>ISSN: 0011-4642</identifier><identifier>EISSN: 1572-9141</identifier><identifier>DOI: 10.21136/CMJ.2019.0084-18</identifier><language>eng</language><publisher>Berlin/Heidelberg: Springer Berlin Heidelberg</publisher><subject>Analysis ; Convex and Discrete Geometry ; Linear operators ; Mathematical Modeling and Industrial Mathematics ; Mathematics ; Mathematics and Statistics ; Ordinary Differential Equations</subject><ispartof>Czechoslovak Mathematical Journal, 2019-12, Vol.69 (4), p.1111-1121</ispartof><rights>Mathematical Institute, Academy of Sciences of Cz 2019</rights><rights>Copyright Springer Nature B.V. 2019</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c359t-919ca9d405cb4548a0cc813493ea6093d22941c1356ab850c45d7075f6392bd3</citedby><cites>FETCH-LOGICAL-c359t-919ca9d405cb4548a0cc813493ea6093d22941c1356ab850c45d7075f6392bd3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.21136/CMJ.2019.0084-18$$EPDF$$P50$$Gspringer$$H</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.21136/CMJ.2019.0084-18$$EHTML$$P50$$Gspringer$$H</linktohtml><link.rule.ids>314,780,784,27924,27925,41488,42557,51319</link.rule.ids></links><search><creatorcontrib>Akbarzadeh, Farzaneh</creatorcontrib><creatorcontrib>Armandnejad, Ali</creatorcontrib><title>On Row-Sum Majorization</title><title>Czechoslovak Mathematical Journal</title><addtitle>Czech Math J</addtitle><description>Let
M
n
,
m
be the set of all
n
×
m
real or complex matrices. For
A, B
∈
M
n
,
m
, we say that
A
is row-sum majorized by
B
(written as
A
≺
rs
B
) if
R
(
A
) ≺
R
(
B
), where
R
(
A
) is the row sum vector of
A
and ≺ is the classical majorization on ℝ
n
. In the present paper, the structure of all linear operators
T
:
M
n
,
m
→
M
n
,
m
preserving or strongly preserving row-sum majorization is characterized. Also we consider the concepts of even and circulant majorization on ℝ
n
and then find the linear preservers of row-sum majorization of these relations on
M
n
,
m
.</description><subject>Analysis</subject><subject>Convex and Discrete Geometry</subject><subject>Linear operators</subject><subject>Mathematical Modeling and Industrial Mathematics</subject><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Ordinary Differential Equations</subject><issn>0011-4642</issn><issn>1572-9141</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2019</creationdate><recordtype>article</recordtype><recordid>eNp1j8FLwzAUh4MoWKdn8Tbw3PreS9ImRyk6lY2B7h7StJUW186kRfSvt3OCJ0_v8v2-x8fYFUJCiDy9yVdPCQHqBECJGNURi1BmFGsUeMwiAMRYpIJO2VkILQBwFCpil-tu_tx_xC_jdr6ybe-bLzs0fXfOTmr7FqqL3ztjm_u7Tf4QL9eLx_x2GTsu9TDZtbO6FCBdIaRQFpxTyIXmlU1B85JIC3TIZWoLJcEJWWaQyTrlmoqSz9j1Qbvz_ftYhcG0_ei76aMhToSKSGQThQfK-T4EX9Vm55ut9Z8Gwfzkmynf7PPNPt-gmjZ02ISJ7V4r_2f-f_QN7otZcw</recordid><startdate>20191201</startdate><enddate>20191201</enddate><creator>Akbarzadeh, Farzaneh</creator><creator>Armandnejad, Ali</creator><general>Springer Berlin Heidelberg</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20191201</creationdate><title>On Row-Sum Majorization</title><author>Akbarzadeh, Farzaneh ; Armandnejad, Ali</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c359t-919ca9d405cb4548a0cc813493ea6093d22941c1356ab850c45d7075f6392bd3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2019</creationdate><topic>Analysis</topic><topic>Convex and Discrete Geometry</topic><topic>Linear operators</topic><topic>Mathematical Modeling and Industrial Mathematics</topic><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Ordinary Differential Equations</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Akbarzadeh, Farzaneh</creatorcontrib><creatorcontrib>Armandnejad, Ali</creatorcontrib><collection>CrossRef</collection><jtitle>Czechoslovak Mathematical Journal</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Akbarzadeh, Farzaneh</au><au>Armandnejad, Ali</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On Row-Sum Majorization</atitle><jtitle>Czechoslovak Mathematical Journal</jtitle><stitle>Czech Math J</stitle><date>2019-12-01</date><risdate>2019</risdate><volume>69</volume><issue>4</issue><spage>1111</spage><epage>1121</epage><pages>1111-1121</pages><issn>0011-4642</issn><eissn>1572-9141</eissn><abstract>Let
M
n
,
m
be the set of all
n
×
m
real or complex matrices. For
A, B
∈
M
n
,
m
, we say that
A
is row-sum majorized by
B
(written as
A
≺
rs
B
) if
R
(
A
) ≺
R
(
B
), where
R
(
A
) is the row sum vector of
A
and ≺ is the classical majorization on ℝ
n
. In the present paper, the structure of all linear operators
T
:
M
n
,
m
→
M
n
,
m
preserving or strongly preserving row-sum majorization is characterized. Also we consider the concepts of even and circulant majorization on ℝ
n
and then find the linear preservers of row-sum majorization of these relations on
M
n
,
m
.</abstract><cop>Berlin/Heidelberg</cop><pub>Springer Berlin Heidelberg</pub><doi>10.21136/CMJ.2019.0084-18</doi><tpages>11</tpages><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 0011-4642 |
| ispartof | Czechoslovak Mathematical Journal, 2019-12, Vol.69 (4), p.1111-1121 |
| issn | 0011-4642 1572-9141 |
| language | eng |
| recordid | cdi_proquest_journals_2322182247 |
| source | EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection; SpringerLink Journals - AutoHoldings |
| subjects | Analysis Convex and Discrete Geometry Linear operators Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Ordinary Differential Equations |
| title | On Row-Sum Majorization |
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