Class information for:
Level 1: SEMICROSSED PRODUCT//SEPARATING VECTOR//NEST ALGEBRA

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
14511 765 14.8 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
14511 1                   SEMICROSSED PRODUCT//SEPARATING VECTOR//NEST ALGEBRA 765

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 SEMICROSSED PRODUCT authKW 488944 2% 88% 14
2 SEPARATING VECTOR authKW 399141 1% 100% 10
3 NEST ALGEBRA authKW 329242 4% 25% 33
4 KADISON SINGER ALGEBRA authKW 279399 1% 100% 7
5 KADISON SINGER LATTICE authKW 279399 1% 100% 7
6 ANALYTIC CROSSED PRODUCTS authKW 239485 1% 100% 6
7 REFLEXIVE ALGEBRA authKW 209971 1% 48% 11
8 CONTRACTIVE PERTURBATION authKW 199571 1% 100% 5
9 REFLEXIVE SUBSPACE authKW 179611 1% 75% 6
10 SUBSPACE LATTICE authKW 170293 1% 53% 8

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 40829 98% 0% 750
2 Mathematics, Applied 2799 25% 0% 189
3 Logic 1 0% 0% 1
4 Automation & Control Systems 1 1% 0% 5
5 Multidisciplinary Sciences 0 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


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 LK HUA MATH 119742 0% 100% 3
2 KIBORI MAL 39914 0% 100% 1
3 PURE MATH 32310 6% 2% 48
4 IMFM 12207 1% 4% 8
5 EDUC SING ORE 9977 0% 25% 1
6 COMP COMMUN TECHNOL MATH 8159 0% 7% 3
7 MATH 4959 30% 0% 233
8 MATH COMP ENGN 4688 1% 3% 4
9 MATH COMP STUDIES 2659 0% 7% 1
10 GEN SCI 2578 1% 2% 4

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 JOURNAL OF OPERATOR THEORY 63207 6% 4% 45
2 JOURNAL OF FUNCTIONAL ANALYSIS 31853 9% 1% 72
3 INTEGRAL EQUATIONS AND OPERATOR THEORY 28547 5% 2% 40
4 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 24291 13% 1% 101
5 INDIANA UNIVERSITY MATHEMATICS JOURNAL 15060 4% 1% 30
6 HOUSTON JOURNAL OF MATHEMATICS 12803 3% 1% 25
7 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 12049 4% 1% 33
8 LINEAR ALGEBRA AND ITS APPLICATIONS 5232 5% 0% 39
9 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 3890 4% 0% 30
10 PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY 3876 2% 1% 14

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 SEMICROSSED PRODUCT 488944 2% 88% 14 Search SEMICROSSED+PRODUCT Search SEMICROSSED+PRODUCT
2 SEPARATING VECTOR 399141 1% 100% 10 Search SEPARATING+VECTOR Search SEPARATING+VECTOR
3 NEST ALGEBRA 329242 4% 25% 33 Search NEST+ALGEBRA Search NEST+ALGEBRA
4 KADISON SINGER ALGEBRA 279399 1% 100% 7 Search KADISON+SINGER+ALGEBRA Search KADISON+SINGER+ALGEBRA
5 KADISON SINGER LATTICE 279399 1% 100% 7 Search KADISON+SINGER+LATTICE Search KADISON+SINGER+LATTICE
6 ANALYTIC CROSSED PRODUCTS 239485 1% 100% 6 Search ANALYTIC+CROSSED+PRODUCTS Search ANALYTIC+CROSSED+PRODUCTS
7 REFLEXIVE ALGEBRA 209971 1% 48% 11 Search REFLEXIVE+ALGEBRA Search REFLEXIVE+ALGEBRA
8 CONTRACTIVE PERTURBATION 199571 1% 100% 5 Search CONTRACTIVE+PERTURBATION Search CONTRACTIVE+PERTURBATION
9 REFLEXIVE SUBSPACE 179611 1% 75% 6 Search REFLEXIVE+SUBSPACE Search REFLEXIVE+SUBSPACE
10 SUBSPACE LATTICE 170293 1% 53% 8 Search SUBSPACE+LATTICE Search SUBSPACE+LATTICE

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 KATSOULIS, EG , RAMSEY, C , (2016) LIMIT ALGEBRAS AND INTEGER-VALUED COCYCLES, REVISITED.JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. VOL. 94. ISSUE . P. 839 -858 25 83% 0
2 DONSIG, AP , PITTS, DR , (2008) COORDINATE SYSTEMS AND BOUNDED ISOMORPHISMS.JOURNAL OF OPERATOR THEORY. VOL. 59. ISSUE 2. P. 359 -416 20 83% 0
3 DONSIG, AP , HUDSON, TD , (1996) THE LATTICE OF IDEALS OF A TRIANGULAR AF ALGEBRA.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 138. ISSUE 1. P. 1-39 23 100% 3
4 POWER, SC , (2002) APPROXIMATELY FINITELY ACTING OPERATOR ALGEBRAS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 189. ISSUE 2. P. 409-468 21 88% 1
5 DAVIDSON, KR , KATSOULIS, EG , (2008) ISOMORPHISMS BETWEEN TOPOLOGICAL CONJUGACY ALGEBRAS.JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK. VOL. 621. ISSUE . P. 29-51 17 85% 10
6 LU, FG , YU, XP , (2007) LIE AND JORDAN IDEALS IN REFLEXIVE ALGEBRAS.INTEGRAL EQUATIONS AND OPERATOR THEORY. VOL. 59. ISSUE 2. P. 189 -206 15 94% 2
7 HUDSON, TD , KATSOULIS, EG , (1998) PRIMITIVE TRIANGULAR UHF ALGEBRAS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 160. ISSUE 1. P. 1-27 18 100% 1
8 ELEFTHERAKIS, GK , TODOROV, IG , (2016) OPERATOR SYNTHESIS AND TENSOR PRODUCTS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 368. ISSUE 8. P. 5271 -5300 15 71% 0
9 KATSOULIS, E , PETERS, JR , (2007) COMPACT OPERATORS AND NEST REPRESENTATIONS OF LIMIT ALGEBRAS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 359. ISSUE 6. P. 2721 -2739 14 93% 2
10 POWER, SC , (2000) GROTHENDIECK GROUP INVARIANTS FOR PARTLY SELF-ADJOINT OPERATOR ALGEBRAS.INTERNATIONAL JOURNAL OF MATHEMATICS. VOL. 11. ISSUE 1. P. 41 -64 16 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 14362 OPERATOR SPACE//OPERATOR SYSTEM//BIMEASURES
2 6348 PRIME RING//DERIVATION//GENERALIZED DERIVATION
3 4303 ROW CONTRACTION//INVARIANT SUBSPACE//M ISOMETRY
4 13147 NONCOMMUTATIVE L P SPACES//MEASURABLE OPERATOR//NONCOMMUTATIVE MARTINGALES
5 8827 PRESERVERS//LINEAR PRESERVER//ADDITIVE PRESERVER
6 28933 SUBHOMOGENEOUS//SWISS CHEESES//BANACH BUNDLE
7 8105 LEAVITT PATH ALGEBRA//GRAPH ALGEBRA//PARTIAL ACTION
8 15307 JB TRIPLE//JBW TRIPLE//JB ALGEBRA
9 19062 TRIANGULARIZABILITY//INVARIANT SUBSPACE//EXTENDED EIGENVALUE
10 26148 ORTHOGONALITY PRESERVING MAPPINGS//DUNKL WILLIAMS INEQUALITY//APPROXIMATE ORTHOGONALITY

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