Class information for:
Level 1: WEYLS THEOREM//SINGLE VALUED EXTENSION PROPERTY//BROWDERS THEOREM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
7300 1384 15.6 34%


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
7300 1                   WEYLS THEOREM//SINGLE VALUED EXTENSION PROPERTY//BROWDERS THEOREM 1384

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 WEYLS THEOREM authKW 1845348 7% 92% 91
2 SINGLE VALUED EXTENSION PROPERTY authKW 1141753 4% 89% 58
3 BROWDERS THEOREM authKW 532623 2% 93% 26
4 PARANORMAL OPERATOR authKW 522496 2% 79% 30
5 ALUTHGE TRANSFORM authKW 509097 2% 77% 30
6 POLAROID OPERATORS authKW 508294 2% 96% 24
7 GENERALIZED WEYLS THEOREM authKW 463291 2% 100% 21
8 A WEYLS THEOREM authKW 423001 2% 91% 21
9 CLASS A OPERATOR authKW 420216 1% 95% 20
10 SVEP authKW 410676 2% 85% 22

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 69944 95% 0% 1321
2 Mathematics, Applied 13532 39% 0% 546
3 Multidisciplinary Sciences 164 2% 0% 29
4 Statistics & Probability -2 0% 0% 4
5 Mathematics, Interdisciplinary Applications -4 0% 0% 2
6 Automation & Control Systems -4 0% 0% 1
7 Operations Research & Management Science -5 0% 0% 1
8 Physics, Mathematical -8 0% 0% 1
9 Mechanics -14 0% 0% 1
10 Physics, Atomic, Molecular & Chemical -15 0% 0% 3

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 OPERATOR THEORY TEAM 88246 0% 100% 4
2 CNRS UMR P PAINLEVE 8524 44123 0% 100% 2
3 GATO 44123 0% 100% 2
4 NURR 36762 0% 33% 5
5 MULTIDISCIPLINARY NADOR 29414 0% 67% 2
6 SCI OUJDA 23972 0% 22% 5
7 CIENCIAS FIS MATEMT 22061 0% 100% 1
8 EX ENSET ORAN 22061 0% 100% 1
9 FUNDAMENTAL PLICABLE MATH ORAN LMFAO 22061 0% 100% 1
10 PURE MATRH 22061 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 128296 8% 5% 114
2 GLASGOW MATHEMATICAL JOURNAL 65696 5% 5% 66
3 JOURNAL OF OPERATOR THEORY 60025 4% 5% 59
4 STUDIA MATHEMATICA 49430 6% 3% 81
5 PROCEEDINGS OF THE ROYAL IRISH ACADEMY SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES 46509 1% 12% 17
6 OPERATORS AND MATRICES 33951 2% 6% 27
7 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 31575 11% 1% 155
8 MEDITERRANEAN JOURNAL OF MATHEMATICS 20423 2% 3% 29
9 PROCEEDINGS OF THE ROYAL IRISH ACADEMY SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES 15340 0% 17% 4
10 FILOMAT 13782 2% 2% 28

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 WEYLS THEOREM 1845348 7% 92% 91 Search WEYLS+THEOREM Search WEYLS+THEOREM
2 SINGLE VALUED EXTENSION PROPERTY 1141753 4% 89% 58 Search SINGLE+VALUED+EXTENSION+PROPERTY Search SINGLE+VALUED+EXTENSION+PROPERTY
3 BROWDERS THEOREM 532623 2% 93% 26 Search BROWDERS+THEOREM Search BROWDERS+THEOREM
4 PARANORMAL OPERATOR 522496 2% 79% 30 Search PARANORMAL+OPERATOR Search PARANORMAL+OPERATOR
5 ALUTHGE TRANSFORM 509097 2% 77% 30 Search ALUTHGE+TRANSFORM Search ALUTHGE+TRANSFORM
6 POLAROID OPERATORS 508294 2% 96% 24 Search POLAROID+OPERATORS Search POLAROID+OPERATORS
7 GENERALIZED WEYLS THEOREM 463291 2% 100% 21 Search GENERALIZED+WEYLS+THEOREM Search GENERALIZED+WEYLS+THEOREM
8 A WEYLS THEOREM 423001 2% 91% 21 Search A+WEYLS+THEOREM Search A+WEYLS+THEOREM
9 CLASS A OPERATOR 420216 1% 95% 20 Search CLASS+A+OPERATOR Search CLASS+A+OPERATOR
10 SVEP 410676 2% 85% 22 Search SVEP Search SVEP

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 AIENA, P , GUILLEN, JR , PENA, P , (2013) A UNIFYING APPROACH TO WEYL TYPE THEOREMS FOR BANACH SPACE OPERATORS.INTEGRAL EQUATIONS AND OPERATOR THEORY. VOL. 77. ISSUE 3. P. 371-384 26 100% 2
2 RASHID, MHM , (2011) PROPERTY (GW) AND PERTURBATIONS.BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN. VOL. 18. ISSUE 4. P. 635-654 25 100% 1
3 ZENG, QP , JIANG, QF , ZHONG, H , (2013) SPECTRA ORIGINATING FROM SEMI-B-FREDHOLM THEORY AND COMMUTING PERTURBATIONS.STUDIA MATHEMATICA. VOL. 219. ISSUE 1. P. 1-18 23 100% 0
4 ZHANG, SF , ZHONG, HJ , LIN, LQ , (2014) GENERALIZED DRAZIN SPECTRUM OF OPERATOR MATRICES.APPLIED MATHEMATICS-A JOURNAL OF CHINESE UNIVERSITIES SERIES B. VOL. 29. ISSUE 2. P. 162-170 25 86% 1
5 ZHANG, SF , WU, ZQ , (2012) CHARACTERIZATIONS OF PERTURBATIONS OF SPECTRA OF 2 X 2 UPPER TRIANGULAR OPERATOR MATRICES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 392. ISSUE 2. P. 103-110 22 100% 4
6 RASHID, MHM , ZGUITTI, H , (2011) WEYL TYPE THEOREMS AND CLASS A(S, T) OPERATORS.MATHEMATICAL INEQUALITIES & APPLICATIONS. VOL. 14. ISSUE 3. P. 581-594 24 92% 1
7 ZHANG, SF , ZHANG, L , ZHONG, HJ , (2016) PERTURBATION OF BROWDER SPECTRUM OF UPPER TRIANGULAR OPERATOR MATRICES.LINEAR & MULTILINEAR ALGEBRA. VOL. 64. ISSUE 3. P. 502 -511 19 100% 0
8 BOASSO, E , AMOUCH, M , (2015) GENERALIZED BROWDER'S AND WEYL'S THEOREMS FOR GENERALIZED DERIVATIONS.MEDITERRANEAN JOURNAL OF MATHEMATICS. VOL. 12. ISSUE 1. P. 117 -131 20 95% 0
9 RASHID, MHM , (2012) CLASS WA(S, T) OPERATORS AND QUASISIMILARITY.PORTUGALIAE MATHEMATICA. VOL. 69. ISSUE 4. P. 305-320 21 95% 1
10 RASHID, MHM , NOORANI, MSM , (2010) WEYL'S TYPE THEOREMS FOR ALGEBRAICALLY W-HYPONORMAL OPERATORS.ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING. VOL. 35. ISSUE 1D. P. 103-116 21 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 26148 ORTHOGONALITY PRESERVING MAPPINGS//DUNKL WILLIAMS INEQUALITY//APPROXIMATE ORTHOGONALITY
2 25790 WEIGHTED SHIFT ON A DIRECTED TREE//SUBNORMAL OPERATOR//KATEDRA ZASTOSOWAN MATEMAT
3 30061 2 VARIABLE WEIGHTED SHIFTS//HYPONORMAL//SUBNORMAL PAIRS
4 4303 ROW CONTRACTION//INVARIANT SUBSPACE//M ISOMETRY
5 26238 ARGENTINO MATEMAT//BANACH LIE POISSON SPACE//NONCOMMUTATIVE KAHLER GEOMETRY
6 28993 MEAN ERGODIC OPERATOR//POWER BOUNDED OPERATOR//COHOMOLOGY EQUATION
7 21578 COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE
8 18236 BOUNDED CONJUGATION ORBIT//KATZNELSON TZAFRIRI THEOREM//ARENS MICHAEL REPRESENTATION
9 19062 TRIANGULARIZABILITY//INVARIANT SUBSPACE//EXTENDED EIGENVALUE
10 6078 DRAZIN INVERSE//MOORE PENROSE INVERSE//GROUP INVERSE

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