Class information for:
Level 1: ORTHOGONALITY PRESERVING MAPPINGS//DUNKL WILLIAMS INEQUALITY//APPROXIMATE ORTHOGONALITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
26148 262 13.8 35%


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
249 3       MATHEMATICS//JOURNAL OF OPERATOR THEORY//MATH 46542
631 2             C ALGEBRA//MATHEMATICS//JOURNAL OF OPERATOR THEORY 13793
26148 1                   ORTHOGONALITY PRESERVING MAPPINGS//DUNKL WILLIAMS INEQUALITY//APPROXIMATE ORTHOGONALITY 262

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 ORTHOGONALITY PRESERVING MAPPINGS authKW 1638940 6% 94% 15
2 DUNKL WILLIAMS INEQUALITY authKW 1515110 5% 100% 13
3 APPROXIMATE ORTHOGONALITY authKW 1406886 5% 93% 13
4 BIRKHOFF JAMES ORTHOGONALITY authKW 1269061 5% 78% 14
5 TRIANGLE INEQUALITY authKW 961780 11% 29% 28
6 PRE HILBERT C MODULE authKW 815829 3% 100% 7
7 BOHR INEQUALITY authKW 699282 2% 100% 6
8 ORTHOGONALITY EQUATION authKW 419564 2% 60% 6
9 COMPOSITE FUNCTIONAL EQUATION authKW 364205 2% 63% 5
10 JACOBSON MCCRIMMON OPERATOR authKW 349641 1% 100% 3

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 13668 97% 0% 254
2 Mathematics, Applied 4587 52% 0% 137
3 Statistics & Probability 0 1% 0% 2
4 Multidisciplinary Sciences 0 0% 0% 1
5 Physics, Mathematical 0 1% 0% 2
6 Operations Research & Management Science -0 0% 0% 1
7 Computer Science, Theory & Methods -0 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 COMPUTAT PLICABLE MATH 116547 0% 100% 1
2 FAK INFORMAT MATH NATURWISSEN 116547 0% 100% 1
3 CEAAS 106906 4% 9% 10
4 MIN GEOL PETR ENGN 105729 5% 6% 14
5 SETAGAYA JR HIGH 58272 0% 50% 1
6 BMRG 38848 0% 33% 1
7 NAT WISSEN TECH FAK 1 38848 0% 33% 1
8 FAK INFORMAT MATH NAT WISSEN 29135 0% 25% 1
9 RV PO 29135 0% 25% 1
10 ETSI ARQUITECTURA 23308 0% 20% 1

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 AEQUATIONES MATHEMATICAE 29358 4% 2% 11
2 MATHEMATICAL INEQUALITIES & APPLICATIONS 23957 6% 1% 17
3 BANACH JOURNAL OF MATHEMATICAL ANALYSIS 11515 2% 2% 6
4 ANNALS OF FUNCTIONAL ANALYSIS 10585 2% 2% 5
5 LINEAR ALGEBRA AND ITS APPLICATIONS 10374 12% 0% 32
6 JOURNAL OF MATHEMATICAL INEQUALITIES 7589 2% 1% 6
7 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 4975 11% 0% 30
8 PROCEEDINGS OF THE ROYAL IRISH ACADEMY SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES 3399 1% 1% 2
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 3349 8% 0% 22
10 LINEAR & MULTILINEAR ALGEBRA 3176 2% 0% 6

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 ORTHOGONALITY PRESERVING MAPPINGS 1638940 6% 94% 15 Search ORTHOGONALITY+PRESERVING+MAPPINGS Search ORTHOGONALITY+PRESERVING+MAPPINGS
2 DUNKL WILLIAMS INEQUALITY 1515110 5% 100% 13 Search DUNKL+WILLIAMS+INEQUALITY Search DUNKL+WILLIAMS+INEQUALITY
3 APPROXIMATE ORTHOGONALITY 1406886 5% 93% 13 Search APPROXIMATE+ORTHOGONALITY Search APPROXIMATE+ORTHOGONALITY
4 BIRKHOFF JAMES ORTHOGONALITY 1269061 5% 78% 14 Search BIRKHOFF+JAMES+ORTHOGONALITY Search BIRKHOFF+JAMES+ORTHOGONALITY
5 TRIANGLE INEQUALITY 961780 11% 29% 28 Search TRIANGLE+INEQUALITY Search TRIANGLE+INEQUALITY
6 PRE HILBERT C MODULE 815829 3% 100% 7 Search PRE+HILBERT+C+MODULE Search PRE+HILBERT+C+MODULE
7 BOHR INEQUALITY 699282 2% 100% 6 Search BOHR+INEQUALITY Search BOHR+INEQUALITY
8 ORTHOGONALITY EQUATION 419564 2% 60% 6 Search ORTHOGONALITY+EQUATION Search ORTHOGONALITY+EQUATION
9 COMPOSITE FUNCTIONAL EQUATION 364205 2% 63% 5 Search COMPOSITE+FUNCTIONAL+EQUATION Search COMPOSITE+FUNCTIONAL+EQUATION
10 JACOBSON MCCRIMMON OPERATOR 349641 1% 100% 3 Search JACOBSON+MCCRIMMON+OPERATOR Search JACOBSON+MCCRIMMON+OPERATOR

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 MOSLEHIAN, MS , DADIPOUR, F , RAJIC, R , MARIC, A , (2011) A GLIMPSE AT THE DUNKL-WILLIAMS INEQUALITY.BANACH JOURNAL OF MATHEMATICAL ANALYSIS. VOL. 5. ISSUE 2. P. 138 -151 16 89% 5
2 DADIPOUR, F , MOSLEHIAN, MS , (2011) AN APPROACH TO OPERATOR DUNKL-WILLIAMS INEQUALITIES.PUBLICATIONES MATHEMATICAE-DEBRECEN. VOL. 79. ISSUE 1-2. P. 109-118 13 93% 2
3 SANO, H , IZUMIDA, T , MITANI, KI , OHWADA, T , SAITO, KS , (2014) CHARACTERIZATION OF INTERMEDIATE VALUES OF THE TRIANGLE INEQUALITY II.CENTRAL EUROPEAN JOURNAL OF MATHEMATICS. VOL. 12. ISSUE 5. P. 778-786 11 100% 0
4 CHMIELINSKI, J , LUKASIK, R , WOJCIK, P , (2016) ON THE STABILITY OF THE ORTHOGONALITY EQUATION AND THE ORTHOGONALITY-PRESERVING PROPERTY WITH TWO UNKNOWN FUNCTIONS.BANACH JOURNAL OF MATHEMATICAL ANALYSIS. VOL. 10. ISSUE 4. P. 828 -847 11 85% 0
5 SEDDIK, A , (2008) ON THE INJECTIVE NORM OF SIGMA(N)(I=1) A(I) CIRCLE TIMES B-I AND CHARACTERIZATION OF NORMALOID OPERATORS.OPERATORS AND MATRICES. VOL. 2. ISSUE 1. P. 67-77 11 100% 2
6 ZAMANI, A , (2016) THE OPERATOR-VALUED PARALLELISM.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 505. ISSUE . P. 282 -295 10 91% 0
7 WOJCIK, P , (2015) ON CERTAIN BASIS CONNECTED WITH OPERATOR AND ITS APPLICATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 423. ISSUE 2. P. 1320 -1329 9 100% 1
8 PECARIC, J , RAJIC, R , (2010) INEQUALITIES OF THE DUNKL-WILLIAMS TYPE FOR ABSOLUTE VALUE OPERATORS.JOURNAL OF MATHEMATICAL INEQUALITIES. VOL. 4. ISSUE 1. P. 1 -10 10 100% 5
9 ZOU, LM , HE, CJ , (2014) ON OPERATOR BOHR TYPE INEQUALITIES.MATHEMATICAL INEQUALITIES & APPLICATIONS. VOL. 17. ISSUE 3. P. 1161 -1169 9 100% 0
10 ZOU, LM , HE, CJ , QAISAR, S , (2013) INEQUALITIES FOR ABSOLUTE VALUE OPERATORS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 438. ISSUE 1. P. 436-442 9 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 28933 SUBHOMOGENEOUS//SWISS CHEESES//BANACH BUNDLE
2 26285 QUASI PERMUTATION REPRESENTATIONS//LOCAL MULTIPLIER ALGEBRA//RINGS OF QUOTIENTS
3 7300 WEYLS THEOREM//SINGLE VALUED EXTENSION PROPERTY//BROWDERS THEOREM
4 19754 REDUCED BODY//CONSTANT WIDTH//BIRKHOFF ORTHOGONALITY
5 26153 G MAJORIZATION//GROUP MAJORIZATION//STRONG LINEAR PRESERVER
6 5831 UNITARILY INVARIANT NORM//OPERATOR MONOTONE FUNCTION//OPERATOR INEQUALITY
7 25949 ISOMETRIC EXTENSION//MAZUR ULAM THEOREM//EPSILON ISOMETRY
8 18116 BANACH STONE THEOREM//DISJOINTNESS PRESERVING OPERATOR//F ALGEBRA
9 8827 PRESERVERS//LINEAR PRESERVER//ADDITIVE PRESERVER
10 15723 EXPONENTIAL CONVEXITY//JENSENS INEQUALITY//SUPERQUADRATIC FUNCTIONS

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