Class information for:
Level 1: ROW CONTRACTION//INVARIANT SUBSPACE//M ISOMETRY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
4303 1809 17.6 37%


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
1108 2             COMPOSITION OPERATOR//TOEPLITZ OPERATOR//INTEGRAL EQUATIONS AND OPERATOR THEORY 9756
4303 1                   ROW CONTRACTION//INVARIANT SUBSPACE//M ISOMETRY 1809

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 ROW CONTRACTION authKW 310127 1% 88% 21
2 INVARIANT SUBSPACE authKW 304690 6% 18% 102
3 M ISOMETRY authKW 304645 1% 95% 19
4 MULTIVARIABLE OPERATOR THEORY authKW 303803 1% 100% 18
5 INTEGRAL EQUATIONS AND OPERATOR THEORY journal 284370 11% 9% 194
6 FREE HOLOMORPHIC FUNCTION authKW 270047 1% 100% 16
7 JOURNAL OF OPERATOR THEORY journal 255116 8% 11% 139
8 BIDISK authKW 237751 1% 78% 18
9 VON NEUMANN INEQUALITY authKW 237344 1% 94% 15
10 REDUCING SUBSPACE authKW 186930 1% 46% 24

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 92217 96% 0% 1734
2 Mathematics, Applied 6187 24% 0% 433
3 Multidisciplinary Sciences 0 0% 0% 6
4 Automation & Control Systems -1 0% 0% 5
5 Computer Science, Theory & Methods -2 0% 0% 8
6 Physics, Mathematical -2 0% 0% 8
7 Statistics & Probability -3 0% 0% 5
8 Mathematics, Interdisciplinary Applications -7 0% 0% 1
9 Computer Science, Information Systems -10 0% 0% 1
10 Endocrinology & Metabolism -23 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 HEBEI PROV COMPUTAT MATH PLICAT 33756 0% 100% 2
2 MATEMT CIENCIA COMPUTACIN 33756 0% 100% 2
3 MATH 27899 46% 0% 837
4 CHEN JIANGONG ADV STUDY 16878 0% 100% 1
5 EDUC GIRLS SARAT EBEIDAH 16878 0% 100% 1
6 ELECT INFORMAT ENGN COMMUN THEORY 16878 0% 100% 1
7 ESCUELA FIS MATH 16878 0% 100% 1
8 MARVDASHT UNIV 16878 0% 100% 1
9 MATH CASPER 16878 0% 100% 1
10 OFF 107 16878 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 INTEGRAL EQUATIONS AND OPERATOR THEORY 284370 11% 9% 194
2 JOURNAL OF OPERATOR THEORY 255116 8% 11% 139
3 JOURNAL OF FUNCTIONAL ANALYSIS 82345 10% 3% 178
4 ACTA SCIENTIARUM MATHEMATICARUM 41801 1% 9% 27
5 INDIANA UNIVERSITY MATHEMATICS JOURNAL 38756 4% 3% 74
6 COMPLEX ANALYSIS AND OPERATOR THEORY 33773 2% 6% 35
7 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 28322 9% 1% 168
8 MICHIGAN MATHEMATICAL JOURNAL 17653 2% 3% 39
9 HOUSTON JOURNAL OF MATHEMATICS 12482 2% 2% 38
10 STUDIA MATHEMATICA 11620 2% 2% 45

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 ROW CONTRACTION 310127 1% 88% 21 Search ROW+CONTRACTION Search ROW+CONTRACTION
2 INVARIANT SUBSPACE 304690 6% 18% 102 Search INVARIANT+SUBSPACE Search INVARIANT+SUBSPACE
3 M ISOMETRY 304645 1% 95% 19 Search M+ISOMETRY Search M+ISOMETRY
4 MULTIVARIABLE OPERATOR THEORY 303803 1% 100% 18 Search MULTIVARIABLE+OPERATOR+THEORY Search MULTIVARIABLE+OPERATOR+THEORY
5 FREE HOLOMORPHIC FUNCTION 270047 1% 100% 16 Search FREE+HOLOMORPHIC+FUNCTION Search FREE+HOLOMORPHIC+FUNCTION
6 BIDISK 237751 1% 78% 18 Search BIDISK Search BIDISK
7 VON NEUMANN INEQUALITY 237344 1% 94% 15 Search VON+NEUMANN+INEQUALITY Search VON+NEUMANN+INEQUALITY
8 REDUCING SUBSPACE 186930 1% 46% 24 Search REDUCING+SUBSPACE Search REDUCING+SUBSPACE
9 DRURY ARVESON SPACE 185657 1% 100% 11 Search DRURY+ARVESON+SPACE Search DRURY+ARVESON+SPACE
10 HARDY SPACE OVER THE BIDISK 185657 1% 100% 11 Search HARDY+SPACE+OVER+THE+BIDISK Search HARDY+SPACE+OVER+THE+BIDISK

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 POPESCU, G , (2010) OPERATOR THEORY ON NONCOMMUTATIVE DOMAINS.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 205. ISSUE 964. P. 1-+ 55 89% 0
2 POPESCU, G , (2016) BEREZIN TRANSFORMS ON NONCOMMUTATIVE POLYDOMAINS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 368. ISSUE 6. P. 4357 -4416 37 100% 0
3 POPESCU, G , (2013) FREE BIHOLOMORPHIC FUNCTIONS AND OPERATOR MODEL THEORY, II.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 265. ISSUE 5. P. 786-836 31 100% 1
4 PESCU, G , (2008) NONCOMMUTATIVE BEREZIN TRANSFORMS AND MULTIVARIABLE OPERATOR MODEL THEORY.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 254. ISSUE 4. P. 1003-1057 31 100% 0
5 POPESCU, G , (2012) FREE BIHOLOMORPHIC FUNCTIONS AND OPERATOR MODEL THEORY.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 262. ISSUE 7. P. 3240-3308 27 100% 2
6 CHO, M , GU, CX , LEE, WY , (2016) ELEMENTARY PROPERTIES OF INFINITY-ISOMETRIES ON A HILBERT SPACE.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 511. ISSUE . P. 378 -402 24 100% 0
7 BALL, JA , HUAMAN, MDG , (2013) TEST FUNCTIONS, SCHUR-AGLER CLASSES AND TRANSFER-FUNCTION REALIZATIONS: THE MATRIX-VALUED SETTING.COMPLEX ANALYSIS AND OPERATOR THEORY. VOL. 7. ISSUE 3. P. 529 -575 26 96% 1
8 (2009) UNITARY INVARIANTS IN MULTIVARIABLE OPERATOR THEORY.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 200. ISSUE 941. P. 1 -+ 31 89% 0
9 POPESCU, G , (2006) ENTROPY AND MULTIVARIABLE INTERPOLATION.MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 184. ISSUE 868. P. 1-+ 33 89% 0
10 POPESCU, G , (2008) FREE PLURIHARMONIC MAJORANTS AND COMMUTANT LIFTING.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 255. ISSUE 4. P. 891-939 31 86% 2

Classes with closest relation at Level 1


Rank Class id link
1 30061 2 VARIABLE WEIGHTED SHIFTS//HYPONORMAL//SUBNORMAL PAIRS
2 25790 WEIGHTED SHIFT ON A DIRECTED TREE//SUBNORMAL OPERATOR//KATEDRA ZASTOSOWAN MATEMAT
3 21578 COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE
4 15889 GENERALIZED SCHUR FUNCTIONS//INTEGRAL EQUATIONS AND OPERATOR THEORY//WEYL MATRIX BALLS
5 14511 SEMICROSSED PRODUCT//SEPARATING VECTOR//NEST ALGEBRA
6 30501 INDICIAL TRIPLE//TOEPLITZ C ALGEBRA//DIAGONAL INVARIANT IDEAL
7 14828 TOEPLITZ OPERATOR//BEREZIN TRANSFORM//BERGMAN SPACE
8 17665 CORONA THEOREM//BOUNDED ANALYTIC FUNCTIONS//FAK ALLGEMEINWISSEN
9 7300 WEYLS THEOREM//SINGLE VALUED EXTENSION PROPERTY//BROWDERS THEOREM
10 36121 BOUNDARY BEHAVIOR OF HOLOMORPHIC FUNCTIONS//RADON INVERSION PROBLEM//WEAK RESOLVENT

Go to start page