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

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
318 3       MATHEMATICS//STUDIA MATHEMATICA//MATH 39244
1747 2             PRIME RING//DERIVATION//GENERALIZED DERIVATION 6812
25574 1                   ORTHOGONALITY PRESERVING MAPPINGS//BIRKHOFF JAMES ORTHOGONALITY//DUNKL WILLIAMS INEQUALITY 301

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ORTHOGONALITY PRESERVING MAPPINGS authKW 1472434 5% 94% 15
2 BIRKHOFF JAMES ORTHOGONALITY authKW 1375456 6% 77% 17
3 DUNKL WILLIAMS INEQUALITY authKW 1361185 4% 100% 13
4 APPROXIMATE ORTHOGONALITY authKW 1263956 4% 93% 13
5 TRIANGLE INEQUALITY authKW 889436 10% 29% 29
6 PRE HILBERT C MODULE authKW 732946 2% 100% 7
7 BOHR INEQUALITY authKW 628239 2% 100% 6
8 ORTHOGONALITY EQUATION authKW 466415 2% 64% 7
9 COMPOSITE FUNCTIONAL EQUATION authKW 418822 2% 67% 6
10 ELEMENTARY OPERATOR authKW 397855 6% 20% 19

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 14153 92% 0% 278
2 Mathematics, Applied 5305 52% 0% 158
3 Automation & Control Systems 35 3% 0% 8
4 Operations Research & Management Science 4 1% 0% 4
5 Statistics & Probability 1 1% 0% 3
6 Multidisciplinary Sciences 0 0% 0% 1
7 Physics, Mathematical -0 1% 0% 2
8 Mathematics, Interdisciplinary Applications -0 0% 0% 1
9 Computer Science, Software Engineering -0 0% 0% 1
10 Computer Science, Information Systems -0 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 COMPUTAT PLICABLE MATH 104707 0% 100% 1
2 FAK INFORMAT MATH NATURWISSEN 104707 0% 100% 1
3 CEAAS 90246 3% 9% 10
4 MIN GEOL PETR ENGN 88053 5% 6% 14
5 SETAGAYA JR HIGH 52352 0% 50% 1
6 BMRG 34901 0% 33% 1
7 NAT WISSEN TECH FAK 1 34901 0% 33% 1
8 RV PO 26175 0% 25% 1
9 ETSI ARQUITECTURA 20940 0% 20% 1
10 FAK INFORMAT MATH NAT WISSEN 20940 0% 20% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 AEQUATIONES MATHEMATICAE 34402 4% 3% 13
2 MATHEMATICAL INEQUALITIES & APPLICATIONS 18557 5% 1% 16
3 LINEAR ALGEBRA AND ITS APPLICATIONS 18059 15% 0% 45
4 BANACH JOURNAL OF MATHEMATICAL ANALYSIS 12781 2% 2% 7
5 ANNALS OF FUNCTIONAL ANALYSIS 8434 2% 2% 5
6 JOURNAL OF MATHEMATICAL INEQUALITIES 6271 2% 1% 6
7 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 4077 10% 0% 29
8 LINEAR & MULTILINEAR ALGEBRA 3594 2% 0% 7
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 3235 8% 0% 23
10 PROCEEDINGS OF THE ROYAL IRISH ACADEMY SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES 3193 1% 2% 2

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 ORTHOGONALITY PRESERVING MAPPINGS 1472434 5% 94% 15 Search ORTHOGONALITY+PRESERVING+MAPPINGS Search ORTHOGONALITY+PRESERVING+MAPPINGS
2 BIRKHOFF JAMES ORTHOGONALITY 1375456 6% 77% 17 Search BIRKHOFF+JAMES+ORTHOGONALITY Search BIRKHOFF+JAMES+ORTHOGONALITY
3 DUNKL WILLIAMS INEQUALITY 1361185 4% 100% 13 Search DUNKL+WILLIAMS+INEQUALITY Search DUNKL+WILLIAMS+INEQUALITY
4 APPROXIMATE ORTHOGONALITY 1263956 4% 93% 13 Search APPROXIMATE+ORTHOGONALITY Search APPROXIMATE+ORTHOGONALITY
5 TRIANGLE INEQUALITY 889436 10% 29% 29 Search TRIANGLE+INEQUALITY Search TRIANGLE+INEQUALITY
6 PRE HILBERT C MODULE 732946 2% 100% 7 Search PRE+HILBERT+C+MODULE Search PRE+HILBERT+C+MODULE
7 BOHR INEQUALITY 628239 2% 100% 6 Search BOHR+INEQUALITY Search BOHR+INEQUALITY
8 ORTHOGONALITY EQUATION 466415 2% 64% 7 Search ORTHOGONALITY+EQUATION Search ORTHOGONALITY+EQUATION
9 COMPOSITE FUNCTIONAL EQUATION 418822 2% 67% 6 Search COMPOSITE+FUNCTIONAL+EQUATION Search COMPOSITE+FUNCTIONAL+EQUATION
10 ELEMENTARY OPERATOR 397855 6% 20% 19 Search ELEMENTARY+OPERATOR Search ELEMENTARY+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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 25244 REDUCED BODY//NORMED PLANE//BIRKHOFF ORTHOGONALITY
2 7483 WEYLS THEOREM//SINGLE VALUED EXTENSION PROPERTY//BROWDERS THEOREM
3 14445 OPERATOR SYSTEM//OPERATOR SPACE//COMPLETELY BOUNDED MAPS
4 29612 LOCAL MULTIPLIER ALGEBRA//RINGS OF QUOTIENTS//AW ASTERISK MODULES
5 6843 UNITARILY INVARIANT NORM//OPERATOR INEQUALITY//OPERATOR MONOTONE FUNCTION
6 9262 PRESERVERS//LINEAR PRESERVER//ADDITIVE PRESERVER
7 11663 DAUGAVET PROPERTY//NUMERICAL INDEX//BISHOP PHELPS BOLLOBAS THEOREM
8 17060 NUMERICAL RANGE//NUMERICAL RADIUS//HIGHER RANK NUMERICAL RANGE
9 17830 BANACH STONE THEOREM//DISJOINTNESS PRESERVING OPERATOR//F ALGEBRA
10 22944 STRONG LINEAR PRESERVER//G MAJORIZATION//GENERALIZED MATRIX FUNCTION

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