Class information for:
Level 1: SEPARATING VECTOR//NEST ALGEBRA//KADISON SINGER ALGEBRA

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
16634 1                   SEPARATING VECTOR//NEST ALGEBRA//KADISON SINGER ALGEBRA 669

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SEPARATING VECTOR authKW 471090 1% 100% 10
2 NEST ALGEBRA authKW 400376 5% 25% 34
3 KADISON SINGER ALGEBRA authKW 329763 1% 100% 7
4 KADISON SINGER LATTICE authKW 329763 1% 100% 7
5 REFLEXIVE ALGEBRA authKW 247823 2% 48% 11
6 CONTRACTIVE PERTURBATION authKW 235545 1% 100% 5
7 SUBSPACE LATTICE authKW 200991 1% 53% 8
8 ANALYTIC CROSSED PRODUCTS authKW 196286 1% 83% 5
9 QUASI SPATIALITY authKW 188436 1% 100% 4
10 ALGEBRAIC ISOMORPHISM authKW 168244 1% 71% 5

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 35096 97% 0% 652
2 Mathematics, Applied 2374 24% 0% 163
3 Automation & Control Systems 2 1% 0% 5
4 Logic 1 0% 0% 1
5 Multidisciplinary Sciences 1 0% 0% 3
6 Statistics & Probability -0 0% 0% 3
7 Computer Science, Theory & Methods -1 0% 0% 3
8 Physics, Mathematical -1 0% 0% 3
9 Computer Science, Software Engineering -2 0% 0% 1
10 Computer Science, Information Systems -3 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LK HUA MATH 141327 0% 100% 3
2 KIBORI MAL 47109 0% 100% 1
3 GEOMETRY DYNAM SYST MATH 23554 0% 50% 1
4 PURE MATH 20403 5% 1% 36
5 IMFM 14410 1% 4% 8
6 EDUC SING ORE 11776 0% 25% 1
7 COMP COMMUN TECHNOL MATH 9630 0% 7% 3
8 COMP MATH INFORMAT TECHNOL 6728 0% 14% 1
9 MATH COMP ENGN 5494 1% 3% 4
10 COMPUTAT MATH INFORMAT TECHNOL 4281 0% 9% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF OPERATOR THEORY 60325 6% 3% 41
2 INTEGRAL EQUATIONS AND OPERATOR THEORY 29787 6% 2% 38
3 JOURNAL OF FUNCTIONAL ANALYSIS 24625 9% 1% 59
4 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 22420 13% 1% 90
5 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 14048 5% 1% 33
6 HOUSTON JOURNAL OF MATHEMATICS 13650 4% 1% 24
7 INDIANA UNIVERSITY MATHEMATICS JOURNAL 13340 4% 1% 26
8 PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY 3852 2% 1% 13
9 LINEAR ALGEBRA AND ITS APPLICATIONS 3569 4% 0% 30
10 CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES 3345 2% 1% 13

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 SEPARATING VECTOR 471090 1% 100% 10 Search SEPARATING+VECTOR Search SEPARATING+VECTOR
2 NEST ALGEBRA 400376 5% 25% 34 Search NEST+ALGEBRA Search NEST+ALGEBRA
3 KADISON SINGER ALGEBRA 329763 1% 100% 7 Search KADISON+SINGER+ALGEBRA Search KADISON+SINGER+ALGEBRA
4 KADISON SINGER LATTICE 329763 1% 100% 7 Search KADISON+SINGER+LATTICE Search KADISON+SINGER+LATTICE
5 REFLEXIVE ALGEBRA 247823 2% 48% 11 Search REFLEXIVE+ALGEBRA Search REFLEXIVE+ALGEBRA
6 CONTRACTIVE PERTURBATION 235545 1% 100% 5 Search CONTRACTIVE+PERTURBATION Search CONTRACTIVE+PERTURBATION
7 SUBSPACE LATTICE 200991 1% 53% 8 Search SUBSPACE+LATTICE Search SUBSPACE+LATTICE
8 ANALYTIC CROSSED PRODUCTS 196286 1% 83% 5 Search ANALYTIC+CROSSED+PRODUCTS Search ANALYTIC+CROSSED+PRODUCTS
9 QUASI SPATIALITY 188436 1% 100% 4 Search QUASI+SPATIALITY Search QUASI+SPATIALITY
10 ALGEBRAIC ISOMORPHISM 168244 1% 71% 5 Search ALGEBRAIC+ISOMORPHISM Search ALGEBRAIC+ISOMORPHISM

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 14445 OPERATOR SYSTEM//OPERATOR SPACE//COMPLETELY BOUNDED MAPS
2 4915 INVARIANT SUBSPACE//MULTIVARIABLE OPERATOR THEORY//M ISOMETRY
3 6023 PRIME RING//DERIVATION//GENERALIZED DERIVATION
4 9262 PRESERVERS//LINEAR PRESERVER//ADDITIVE PRESERVER
5 11471 NONCOMMUTATIVE L P SPACES//MEASURABLE OPERATOR//NONCOMMUTATIVE MARTINGALES
6 30035 NONUNITAL RINGS//FIRM MODULES//MORITA LIKE EQUIVALENCE
7 25574 ORTHOGONALITY PRESERVING MAPPINGS//BIRKHOFF JAMES ORTHOGONALITY//DUNKL WILLIAMS INEQUALITY
8 16342 JB TRIPLE//JBW TRIPLE//JB ALGEBRA
9 8299 FOURIER ALGEBRA//LOCALLY COMPACT GROUP//ARENS PRODUCT
10 18546 INVARIANT SUBSPACE//TRIANGULARIZABILITY//EXTENDED EIGENVALUE

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