Class information for:
Level 1: INVARIANT SUBSPACE//MULTIVARIABLE OPERATOR THEORY//M ISOMETRY

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
1123 2             COMPOSITION OPERATOR//TOEPLITZ OPERATOR//BERGMAN SPACE 9999
4915 1                   INVARIANT SUBSPACE//MULTIVARIABLE OPERATOR THEORY//M ISOMETRY 1731

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INVARIANT SUBSPACE authKW 360349 6% 18% 108
2 MULTIVARIABLE OPERATOR THEORY authKW 327700 1% 100% 18
3 M ISOMETRY authKW 312959 1% 90% 19
4 FREE HOLOMORPHIC FUNCTION authKW 309494 1% 100% 17
5 ROW CONTRACTION authKW 303419 1% 83% 20
6 HARDY SPACE OVER THE BIDISK authKW 291289 1% 100% 16
7 SEMICROSSED PRODUCT authKW 274152 1% 94% 16
8 VON NEUMANN INEQUALITY authKW 256014 1% 94% 15
9 JOURNAL OF OPERATOR THEORY journal 234452 8% 10% 130
10 INTEGRAL EQUATIONS AND OPERATOR THEORY journal 230651 10% 7% 170

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 88520 96% 0% 1666
2 Mathematics, Applied 5693 24% 0% 407
3 Multidisciplinary Sciences -0 0% 0% 4
4 Computer Science, Theory & Methods -1 1% 0% 10
5 Automation & Control Systems -1 0% 0% 5
6 Physics, Mathematical -5 0% 0% 5
7 Statistics & Probability -6 0% 0% 2
8 Computer Science, Information Systems -10 0% 0% 1
9 Engineering, Electrical & Electronic -18 1% 0% 22
10 Endocrinology & Metabolism -22 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATEMT CIENCIA COMPUTACIN 36411 0% 100% 2
2 MATH 25976 46% 0% 796
3 PURE MATH 18360 3% 2% 55
4 EDUC GIRLS SARAT EBEIDAH 18206 0% 100% 1
5 ELECT INFORMAT ENGN COMMUN THEORY 18206 0% 100% 1
6 ESCUELA FIS MATH 18206 0% 100% 1
7 MARVDASHT UNIV 18206 0% 100% 1
8 MATH CASPER 18206 0% 100% 1
9 OFF 107 18206 0% 100% 1
10 SFB GEOMETR STRUKTUREN MATH 18206 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF OPERATOR THEORY 234452 8% 10% 130
2 INTEGRAL EQUATIONS AND OPERATOR THEORY 230651 10% 7% 170
3 JOURNAL OF FUNCTIONAL ANALYSIS 85709 10% 3% 177
4 COMPLEX ANALYSIS AND OPERATOR THEORY 54614 3% 7% 45
5 INDIANA UNIVERSITY MATHEMATICS JOURNAL 39548 4% 3% 72
6 ACTA SCIENTIARUM MATHEMATICARUM 38525 1% 8% 25
7 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 25931 9% 1% 156
8 MICHIGAN MATHEMATICAL JOURNAL 18749 2% 3% 39
9 HOUSTON JOURNAL OF MATHEMATICS 14626 2% 2% 40
10 STUDIA MATHEMATICA 12329 3% 2% 45

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 INVARIANT SUBSPACE 360349 6% 18% 108 Search INVARIANT+SUBSPACE Search INVARIANT+SUBSPACE
2 MULTIVARIABLE OPERATOR THEORY 327700 1% 100% 18 Search MULTIVARIABLE+OPERATOR+THEORY Search MULTIVARIABLE+OPERATOR+THEORY
3 M ISOMETRY 312959 1% 90% 19 Search M+ISOMETRY Search M+ISOMETRY
4 FREE HOLOMORPHIC FUNCTION 309494 1% 100% 17 Search FREE+HOLOMORPHIC+FUNCTION Search FREE+HOLOMORPHIC+FUNCTION
5 ROW CONTRACTION 303419 1% 83% 20 Search ROW+CONTRACTION Search ROW+CONTRACTION
6 HARDY SPACE OVER THE BIDISK 291289 1% 100% 16 Search HARDY+SPACE+OVER+THE+BIDISK Search HARDY+SPACE+OVER+THE+BIDISK
7 SEMICROSSED PRODUCT 274152 1% 94% 16 Search SEMICROSSED+PRODUCT Search SEMICROSSED+PRODUCT
8 VON NEUMANN INEQUALITY 256014 1% 94% 15 Search VON+NEUMANN+INEQUALITY Search VON+NEUMANN+INEQUALITY
9 BIDISK 219215 1% 71% 17 Search BIDISK Search BIDISK
10 COMMUTANT LIFTING 219215 1% 71% 17 Search COMMUTANT+LIFTING Search COMMUTANT+LIFTING

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 24902 2 VARIABLE WEIGHTED SHIFTS//SUBNORMAL PAIRS//HYPONORMAL
2 16634 SEPARATING VECTOR//NEST ALGEBRA//KADISON SINGER ALGEBRA
3 16643 TOEPLITZ OPERATOR//BERGMAN SPACE//BEREZIN TRANSFORM
4 13656 GENERALIZED SCHUR FUNCTIONS//INTEGRAL EQUATIONS AND OPERATOR THEORY//WEYL MATRIX BALLS
5 32126 INDICIAL TRIPLE//DIAGONAL INVARIANT IDEAL//GENERALIZED FREDHOLM INDEX
6 21455 LEBESGUE TYPE DECOMPOSITION//KATEDRA ZASTOSOWAN MATEMAT//WEIGHTED SHIFT ON A DIRECTED TREE
7 14445 OPERATOR SYSTEM//OPERATOR SPACE//COMPLETELY BOUNDED MAPS
8 24877 COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE
9 23823 MIKUSINSKI OPERATORS//ARENS MICHAEL REPRESENTATION//WEAK STAR CONTINUITY
10 7483 WEYLS THEOREM//SINGLE VALUED EXTENSION PROPERTY//BROWDERS THEOREM

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