Class information for:
Level 1: INVARIANT SUBSPACE//TRIANGULARIZABILITY//EXTENDED EIGENVALUE

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
2912 2             FOURIER ALGEBRA//LOCALLY COMPACT GROUP//BANACH ALGEBRA 3006
18546 1                   INVARIANT SUBSPACE//TRIANGULARIZABILITY//EXTENDED EIGENVALUE 570

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INVARIANT SUBSPACE authKW 995734 18% 17% 103
2 TRIANGULARIZABILITY authKW 907277 3% 86% 19
3 EXTENDED EIGENVALUE authKW 884663 3% 100% 16
4 SKEW LATTICE authKW 612457 2% 92% 12
5 DUHAMEL PRODUCT authKW 557520 2% 92% 11
6 SKEW BOOLEAN ALGEBRA authKW 552915 2% 100% 10
7 QUASINILPOTENT OPERATORS authKW 478471 3% 58% 15
8 EXTENDED EIGENVECTOR authKW 442332 1% 100% 8
9 EXTREMAL VECTORS authKW 387040 1% 100% 7
10 SPECTRAL RADIUS ALGEBRAS authKW 331749 1% 100% 6

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 29846 97% 0% 555
2 Mathematics, Applied 2659 28% 0% 158
3 Logic 11 0% 0% 2
4 Multidisciplinary Sciences 3 1% 0% 4
5 Computer Science, Artificial Intelligence 0 1% 0% 4
6 Computer Science, Theory & Methods -1 0% 0% 2
7 Computer Science, Interdisciplinary Applications -2 0% 0% 1
8 Physics, Mathematical -3 0% 0% 1
9 Physics, Multidisciplinary -9 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 GUZELYURT KKTC 99522 1% 60% 3
2 ISPARTA VOCAT 63185 1% 29% 4
3 COMP TECHNOL MATH SCI 55291 0% 100% 1
4 JESUS MARY 45234 1% 27% 3
5 PURE MATH 34199 8% 1% 43
6 CASEM CIENCIAS MAR AMBIENTALES 27645 0% 50% 1
7 GRANT MACEWAN 27645 0% 50% 1
8 MATH CS 23963 1% 6% 7
9 MATH INFORMAT BEHAV SEMANT 12111 1% 5% 4
10 COMP COMMUN TECHNOL MATH 11304 1% 7% 3

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 STUDIA MATHEMATICA 42813 8% 2% 48
2 JOURNAL OF OPERATOR THEORY 28459 5% 2% 26
3 TRENDS IN MATHEMATICS 15377 2% 2% 12
4 POSITIVITY 13838 2% 3% 10
5 INTEGRAL EQUATIONS AND OPERATOR THEORY 12794 4% 1% 23
6 LINEAR & MULTILINEAR ALGEBRA 8719 3% 1% 15
7 JOURNAL OF FUNCTIONAL ANALYSIS 8479 6% 0% 32
8 SEMIGROUP FORUM 8445 3% 1% 19
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 8416 9% 0% 51
10 LINEAR ALGEBRA AND ITS APPLICATIONS 8265 7% 0% 42

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 INVARIANT SUBSPACE 995734 18% 17% 103 Search INVARIANT+SUBSPACE Search INVARIANT+SUBSPACE
2 TRIANGULARIZABILITY 907277 3% 86% 19 Search TRIANGULARIZABILITY Search TRIANGULARIZABILITY
3 EXTENDED EIGENVALUE 884663 3% 100% 16 Search EXTENDED+EIGENVALUE Search EXTENDED+EIGENVALUE
4 SKEW LATTICE 612457 2% 92% 12 Search SKEW+LATTICE Search SKEW+LATTICE
5 DUHAMEL PRODUCT 557520 2% 92% 11 Search DUHAMEL+PRODUCT Search DUHAMEL+PRODUCT
6 SKEW BOOLEAN ALGEBRA 552915 2% 100% 10 Search SKEW+BOOLEAN+ALGEBRA Search SKEW+BOOLEAN+ALGEBRA
7 QUASINILPOTENT OPERATORS 478471 3% 58% 15 Search QUASINILPOTENT+OPERATORS Search QUASINILPOTENT+OPERATORS
8 EXTENDED EIGENVECTOR 442332 1% 100% 8 Search EXTENDED+EIGENVECTOR Search EXTENDED+EIGENVECTOR
9 EXTREMAL VECTORS 387040 1% 100% 7 Search EXTREMAL+VECTORS Search EXTREMAL+VECTORS
10 SPECTRAL RADIUS ALGEBRAS 331749 1% 100% 6 Search SPECTRAL+RADIUS+ALGEBRAS Search SPECTRAL+RADIUS+ALGEBRAS

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 23823 MIKUSINSKI OPERATORS//ARENS MICHAEL REPRESENTATION//WEAK STAR CONTINUITY
2 12554 HYPERCYCLIC OPERATORS//HYPERCYCLICITY//HYPERCYCLIC VECTORS
3 22453 JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM
4 28180 SUBNORMS//C SEGAL ALGEBRA//SUBMODULI
5 14709 SZLENK INDEX//STRICTLY SINGULAR OPERATOR//EFFROS BOREL STRUCTURE
6 7483 WEYLS THEOREM//SINGLE VALUED EXTENSION PROPERTY//BROWDERS THEOREM
7 16634 SEPARATING VECTOR//NEST ALGEBRA//KADISON SINGER ALGEBRA
8 27402 LOGARITHMIC RESIDUE//BELITSKIIS ALGORITHM//SUM OF IDEMPOTENTS
9 34661 METHODS MATH MODELS PL SCI//GEOMETRY OF PARTIAL DIFFERENTIAL EQUATIONS//BORDISMS GROUPS IN PDES
10 25664 EVENTUALLY NONNEGATIVE MATRICES//EVENTUALLY NONNEGATIVE MATRIX//NONMAXIMAL EIGENVALUES

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