Class information for:
Level 1: NONCOMMUTATIVE L P SPACES//MEASURABLE OPERATOR//NONCOMMUTATIVE MARTINGALES

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
13147 858 21.9 33%



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
13147 1                   NONCOMMUTATIVE L P SPACES//MEASURABLE OPERATOR//NONCOMMUTATIVE MARTINGALES 858

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 NONCOMMUTATIVE L P SPACES authKW 802913 4% 59% 38
2 MEASURABLE OPERATOR authKW 775005 3% 78% 28
3 NONCOMMUTATIVE MARTINGALES authKW 571376 2% 94% 17
4 VON NEUMANN ALGEBRA authKW 479571 9% 17% 79
5 SUBDIAGONAL ALGEBRA authKW 435944 2% 88% 14
6 DIXMIER TRACE authKW 412984 2% 55% 21
7 SINGULAR TRACES authKW 358839 1% 92% 11
8 DOUBLE OPERATOR INTEGRALS authKW 323521 1% 91% 10
9 OPERATOR LIPSCHITZ FUNCTIONS authKW 320288 1% 100% 9
10 NONCOMMUTATIVE HARDY SPACE authKW 273746 1% 77% 10

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 40922 93% 0% 796
2 Mathematics, Applied 1579 18% 0% 154
3 Physics, Mathematical 79 3% 0% 29
4 Statistics & Probability 59 3% 0% 22
5 Multidisciplinary Sciences 31 1% 0% 11
6 Architecture 15 0% 0% 2
7 Geography -0 0% 0% 1
8 Mathematical & Computational Biology -1 0% 0% 1
9 Mathematics, Interdisciplinary Applications -3 0% 0% 1
10 Physics, Particles & Fields -7 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 COMP STAT MATH SCI 42520 1% 17% 7
2 ALGEBRAS ANAL 35588 0% 100% 1
3 DIRECC GEN COMPUTO 35588 0% 100% 1
4 ENG SCI PHYS MATH 35588 0% 100% 1
5 ESCUELA METEMAT 35588 0% 100% 1
6 HBEREICH MATHEMAT INFORMAT 3 35588 0% 100% 1
7 MATH COLUMBIA 35588 0% 100% 1
8 MATH JUSSIEU ANALYSE FONCT 35588 0% 100% 1
9 UC3MCONSEJO SUPER INVEST CIENT 35588 0% 100% 1
10 UCMYC3M 35588 0% 100% 1

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 46767 5% 3% 41
2 JOURNAL OF FUNCTIONAL ANALYSIS 42441 10% 1% 88
3 INTEGRAL EQUATIONS AND OPERATOR THEORY 29410 5% 2% 43
4 STUDIA MATHEMATICA 9503 3% 1% 28
5 TRENDS IN MATHEMATICS 7016 1% 2% 12
6 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 5466 6% 0% 51
7 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 5026 1% 1% 11
8 MATHEMATICAL NOTES 4791 3% 1% 26
9 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 4069 1% 1% 12
10 JOURNAL OF SPECTRAL THEORY 3738 0% 3% 4

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 NONCOMMUTATIVE L P SPACES 802913 4% 59% 38 Search NONCOMMUTATIVE+L+P+SPACES Search NONCOMMUTATIVE+L+P+SPACES
2 MEASURABLE OPERATOR 775005 3% 78% 28 Search MEASURABLE+OPERATOR Search MEASURABLE+OPERATOR
3 NONCOMMUTATIVE MARTINGALES 571376 2% 94% 17 Search NONCOMMUTATIVE+MARTINGALES Search NONCOMMUTATIVE+MARTINGALES
4 VON NEUMANN ALGEBRA 479571 9% 17% 79 Search VON+NEUMANN+ALGEBRA Search VON+NEUMANN+ALGEBRA
5 SUBDIAGONAL ALGEBRA 435944 2% 88% 14 Search SUBDIAGONAL+ALGEBRA Search SUBDIAGONAL+ALGEBRA
6 DIXMIER TRACE 412984 2% 55% 21 Search DIXMIER+TRACE Search DIXMIER+TRACE
7 SINGULAR TRACES 358839 1% 92% 11 Search SINGULAR+TRACES Search SINGULAR+TRACES
8 DOUBLE OPERATOR INTEGRALS 323521 1% 91% 10 Search DOUBLE+OPERATOR+INTEGRALS Search DOUBLE+OPERATOR+INTEGRALS
9 OPERATOR LIPSCHITZ FUNCTIONS 320288 1% 100% 9 Search OPERATOR+LIPSCHITZ+FUNCTIONS Search OPERATOR+LIPSCHITZ+FUNCTIONS
10 NONCOMMUTATIVE HARDY SPACE 273746 1% 77% 10 Search NONCOMMUTATIVE+HARDY+SPACE Search NONCOMMUTATIVE+HARDY+SPACE

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 BEKJAN, TN , CHEN, ZQ , OSEKOWSKI, A , (2017) NONCOMMUTATIVE MAXIMAL INEQUALITIES ASSOCIATED WITH CONVEX FUNCTIONS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 369. ISSUE 1. P. 409 -427 24 75% 1
2 PELLER, VV , (2016) MULTIPLE OPERATOR INTEGRALS IN PERTURBATION THEORY.BULLETIN OF MATHEMATICAL SCIENCES. VOL. 6. ISSUE 1. P. 15 -88 28 100% 0
3 ALEKSANDROV, AB , PELLER, VV , (2016) OPERATOR LIPSCHITZ FUNCTIONS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 71. ISSUE 4. P. 605 -702 25 93% 0
4 SEMENOV, E , SUKOCHEV, F , USACHEV, A , ZANIN, D , (2015) BANACH LIMITS AND TRACES ON L-1,L-INFINITY.ADVANCES IN MATHEMATICS. VOL. 285. ISSUE . P. 568 -628 25 93% 0
5 BEKJAN, TN , CHEN, ZQ , (2012) INTERPOLATION AND I BROKEN VERTICAL BAR-MOMENT INEQUALITIES OF NONCOMMUTATIVE MARTINGALES.PROBABILITY THEORY AND RELATED FIELDS. VOL. 152. ISSUE 1-2. P. 179-206 23 92% 9
6 BEKJAN, TN , (2015) NONCOMMUTATIVE SYMMETRIC HARDY SPACES.INTEGRAL EQUATIONS AND OPERATOR THEORY. VOL. 81. ISSUE 2. P. 191 -212 19 90% 6
7 RANDRIANANTOANINA, N , WU, L , (2015) MARTINGALE INEQUALITIES IN NONCOMMUTATIVE SYMMETRIC SPACES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 269. ISSUE 7. P. 2222 -2253 22 85% 1
8 SUKOCHEV, F , USACHEV, A , (2016) DIXMIER TRACES AND NON-COMMUTATIVE ANALYSIS.JOURNAL OF GEOMETRY AND PHYSICS. VOL. 105. ISSUE . P. 102 -122 23 77% 0
9 RANDRIANANTOANINA, N , WU, L , (2015) NONCOMMUTATIVE FRACTIONAL INTEGRALS.STUDIA MATHEMATICA. VOL. 229. ISSUE 2. P. 113 -139 18 95% 0
10 JIAO, Y , SUKOCHEV, F , ZANIN, D , ZHOU, DJ , (2017) JOHNSON-SCHECHTMAN INEQUALITIES FOR NONCOMMUTATIVE MARTINGALES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 272. ISSUE 3. P. 976 -1016 23 70% 0

Classes with closest relation at Level 1



Rank Class id link
1 14362 OPERATOR SPACE//OPERATOR SYSTEM//BIMEASURES
2 29344 WELL BOUNDED OPERATORS//AC OPERATORS//TRIGONOMETRICALLY WELL BOUNDED OPERATOR
3 5831 UNITARILY INVARIANT NORM//OPERATOR MONOTONE FUNCTION//OPERATOR INEQUALITY
4 14511 SEMICROSSED PRODUCT//SEPARATING VECTOR//NEST ALGEBRA
5 12607 STRICTLY SINGULAR OPERATOR//SZLENK INDEX//KRUGLOV PROPERTY
6 15307 JB TRIPLE//JBW TRIPLE//JB ALGEBRA
7 26153 G MAJORIZATION//GROUP MAJORIZATION//STRONG LINEAR PRESERVER
8 10367 COMPACT QUANTUM GROUP//LOCALLY COMPACT QUANTUM GROUP//QUANTUM GROUPS
9 13917 FREE PROBABILITY//FREE CONVOLUTION//FREE ENTROPY
10 14130 NONCOMMUTATIVE GEOMETRY//NONCOMMUTATIVE RESIDUE//SPECTRAL TRIPLE

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