Class information for:
Level 1: UNITARILY INVARIANT NORM//OPERATOR MONOTONE FUNCTION//OPERATOR INEQUALITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
5831 1570 14.8 45%


Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
485 3       LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED 23484
943 2             LINEAR ALGEBRA AND ITS APPLICATIONS//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS//MOORE PENROSE INVERSE 10922
5831 1                   UNITARILY INVARIANT NORM//OPERATOR MONOTONE FUNCTION//OPERATOR INEQUALITY 1570

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 UNITARILY INVARIANT NORM authKW 1512702 8% 66% 118
2 OPERATOR MONOTONE FUNCTION authKW 1314635 5% 87% 78
3 OPERATOR INEQUALITY authKW 1308182 6% 70% 96
4 OPERATOR MEAN authKW 1198995 4% 91% 68
5 FURUTA INEQUALITY authKW 1106336 4% 89% 64
6 POSITIVE OPERATOR authKW 822371 6% 41% 102
7 LOWNER HEINZ INEQUALITY authKW 817238 3% 98% 43
8 POSITIVE LINEAR MAP authKW 510773 3% 64% 41
9 HEINZ INEQUALITY authKW 505101 2% 84% 31
10 POSITIVE DEFINITE MATRIX authKW 488531 4% 41% 62

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with term
in class
1 Mathematics 62207 85% 0% 1330
2 Mathematics, Applied 31630 56% 0% 879
3 Physics, Mathematical 904 7% 0% 115
4 Statistics & Probability 93 2% 0% 38
5 Psychology, Mathematical 2 0% 0% 2
6 Social Sciences, Mathematical Methods -0 0% 0% 2
7 Computer Science, Information Systems -0 1% 0% 9
8 Physics, Multidisciplinary -1 2% 0% 25
9 Computer Science, Theory & Methods -1 1% 0% 8
10 Imaging Science & Photographic Technology -1 0% 0% 1

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 TENNOJI BRANCH 272266 1% 100% 14
2 ARTS SCI INFORMAT SCI 254113 1% 93% 14
3 CEAAS 171415 2% 28% 31
4 ART SCI INFORMAT SCI 136133 0% 100% 7
5 TECH ZAGREB 97238 0% 100% 5
6 DIPARTIMENTO SEFEMEQ 93334 1% 40% 12
7 SENIOR HIGH 93080 1% 32% 15
8 GRP MATH INEQUAL PLICAT 81020 1% 42% 10
9 ESTADIST COMP CIENT 38895 0% 100% 2
10 EXCELLENCE ANAL ALGEBRA STRUCT 25283 1% 12% 11

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 LINEAR ALGEBRA AND ITS APPLICATIONS 290722 26% 4% 414
2 MATHEMATICAL INEQUALITIES & APPLICATIONS 146760 7% 7% 103
3 JOURNAL OF MATHEMATICAL INEQUALITIES 114364 4% 10% 57
4 LINEAR & MULTILINEAR ALGEBRA 46236 4% 4% 56
5 ANNALS OF FUNCTIONAL ANALYSIS 40690 2% 9% 24
6 JOURNAL OF INEQUALITIES AND APPLICATIONS 34833 5% 2% 77
7 OPERATORS AND MATRICES 25650 2% 5% 25
8 BANACH JOURNAL OF MATHEMATICAL ANALYSIS 23522 1% 6% 21
9 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 11351 1% 3% 20
10 SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS 7103 2% 1% 28

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 UNITARILY INVARIANT NORM 1512702 8% 66% 118 Search UNITARILY+INVARIANT+NORM Search UNITARILY+INVARIANT+NORM
2 OPERATOR MONOTONE FUNCTION 1314635 5% 87% 78 Search OPERATOR+MONOTONE+FUNCTION Search OPERATOR+MONOTONE+FUNCTION
3 OPERATOR INEQUALITY 1308182 6% 70% 96 Search OPERATOR+INEQUALITY Search OPERATOR+INEQUALITY
4 OPERATOR MEAN 1198995 4% 91% 68 Search OPERATOR+MEAN Search OPERATOR+MEAN
5 FURUTA INEQUALITY 1106336 4% 89% 64 Search FURUTA+INEQUALITY Search FURUTA+INEQUALITY
6 POSITIVE OPERATOR 822371 6% 41% 102 Search POSITIVE+OPERATOR Search POSITIVE+OPERATOR
7 LOWNER HEINZ INEQUALITY 817238 3% 98% 43 Search LOWNER+HEINZ+INEQUALITY Search LOWNER+HEINZ+INEQUALITY
8 POSITIVE LINEAR MAP 510773 3% 64% 41 Search POSITIVE+LINEAR+MAP Search POSITIVE+LINEAR+MAP
9 HEINZ INEQUALITY 505101 2% 84% 31 Search HEINZ+INEQUALITY Search HEINZ+INEQUALITY
10 POSITIVE DEFINITE MATRIX 488531 4% 41% 62 Search POSITIVE+DEFINITE+MATRIX Search POSITIVE+DEFINITE+MATRIX

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 FURUTA, T , (2013) COMPREHENSIVE SURVEY ON AN ORDER PRESERVING OPERATOR INEQUALITY.BANACH JOURNAL OF MATHEMATICAL ANALYSIS. VOL. 7. ISSUE 1. P. 14 -40 39 83% 4
2 FURUTA, T , (2008) BRIEF SURVEY OF RECENT APPLICATIONS OF AN ORDER PRESERVING OPERATOR INEQUALITY.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 12. ISSUE 8. P. 2113 -2135 33 87% 1
3 FURUICHI, S , YANAGI, K , (2012) SCHRODINGER UNCERTAINTY RELATION, WIGNER-YANASE-DYSON SKEW INFORMATION AND METRIC ADJUSTED CORRELATION MEASURE.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 388. ISSUE 2. P. 1147-1156 24 92% 6
4 BHATIA, R , KITTANEH, F , (2008) THE MATRIX ARITHMETIC-GEOMETRIC MEAN INEQUALITY REVISITED.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 428. ISSUE 8-9. P. 2177-2191 24 100% 17
5 YUAN, JT , (2010) CLASSIFIED CONSTRUCTION OF GENERALIZED FURUTA TYPE OPERATOR FUNCTIONS, II.MATHEMATICAL INEQUALITIES & APPLICATIONS. VOL. 13. ISSUE 4. P. 775 -784 24 92% 2
6 YANAGI, K , (2016) NON-HERMITIAN EXTENSION OF UNCERTAINTY RELATION.JOURNAL OF NONLINEAR AND CONVEX ANALYSIS. VOL. 17. ISSUE 1. P. 17 -26 19 100% 0
7 AGGARWAL, A , KAPIL, Y , SINGH, M , (2017) CONTRACTIVE MAPS ON OPERATOR IDEALS AND NORM INEQUALITIES II.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 513. ISSUE . P. 182 -200 19 95% 0
8 FURUTA, T , (2012) OPERATOR FUNCTIONS ON CHAOTIC ORDER INVOLVING ORDER PRESERVING OPERATOR INEQUALITIES.JOURNAL OF MATHEMATICAL INEQUALITIES. VOL. 6. ISSUE 1. P. 15 -31 20 100% 2
9 FUJII, JI , FUJII, M , SEO, Y , ZUO, HL , (2016) RECENT DEVELOPMENTS OF MATRIX VERSIONS OF THE ARITHMETIC-GEOMETRIC MEAN INEQUALITY.ANNALS OF FUNCTIONAL ANALYSIS. VOL. 7. ISSUE 1. P. 102 -117 17 100% 1
10 LIM, Y , (2012) FACTORIZATIONS AND GEOMETRIC MEANS OF POSITIVE DEFINITE MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 437. ISSUE 9. P. 2159 -2172 21 91% 3

Classes with closest relation at Level 1


Rank Class id link
1 26153 G MAJORIZATION//GROUP MAJORIZATION//STRONG LINEAR PRESERVER
2 13147 NONCOMMUTATIVE L P SPACES//MEASURABLE OPERATOR//NONCOMMUTATIVE MARTINGALES
3 26148 ORTHOGONALITY PRESERVING MAPPINGS//DUNKL WILLIAMS INEQUALITY//APPROXIMATE ORTHOGONALITY
4 15723 EXPONENTIAL CONVEXITY//JENSENS INEQUALITY//SUPERQUADRATIC FUNCTIONS
5 26238 ARGENTINO MATEMAT//BANACH LIE POISSON SPACE//NONCOMMUTATIVE KAHLER GEOMETRY
6 8872 QUANTUM CHANNEL//QUANTUM SHANNON THEORY//QUANTUM CAPACITY
7 11293 HERMITE HADAMARD INEQUALITY//OSTROWSKI INEQUALITY//OSTROWSKI TYPE INEQUALITY
8 21051 H MATRICES//MINIMUM EIGENVALUE//DIAGONAL DOMINANCE
9 17842 NUMERICAL RANGE//HIGHER RANK NUMERICAL RANGE//POLYNOMIAL NUMERICAL HULL
10 7300 WEYLS THEOREM//SINGLE VALUED EXTENSION PROPERTY//BROWDERS THEOREM

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