Class information for:
Level 1: NUMERICAL INDEX//DAUGAVET PROPERTY//BISHOP PHELPS BOLLOBAS THEOREM

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23273 352 15.5 39%


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
1493 2             MATHEMATICS//ANAL MATEMAT//VECTOR MEASURE 7619
23273 1                   NUMERICAL INDEX//DAUGAVET PROPERTY//BISHOP PHELPS BOLLOBAS THEOREM 352

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 NUMERICAL INDEX authKW 2039959 8% 87% 27
2 DAUGAVET PROPERTY authKW 1954704 7% 87% 26
3 BISHOP PHELPS BOLLOBAS THEOREM authKW 1561455 5% 100% 18
4 NARROW OPERATOR authKW 1277548 5% 82% 18
5 DAUGAVET EQUATION authKW 1222001 5% 78% 18
6 NORM ATTAINING authKW 1133499 4% 93% 14
7 NORM ATTAINING OPERATORS authKW 1110362 5% 80% 16
8 BISHOP PHELPS THEOREM authKW 552435 3% 58% 11
9 BISHOP PHELPS BOLLOBAS PROPERTY authKW 520485 2% 100% 6
10 ANAL MATEMAT address 454927 33% 4% 117

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 18776 98% 0% 345
2 Mathematics, Applied 2811 36% 0% 126
3 Multidisciplinary Sciences 1 1% 0% 2
4 Physics, Mathematical -0 1% 0% 2
5 Operations Research & Management Science -0 0% 0% 1
6 Statistics & Probability -1 0% 0% 1
7 Energy & Fuels -2 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 ANAL MATEMAT 454927 33% 4% 117
2 DPTO ALGEBRA MATEMAT 173495 1% 100% 2
3 AANL MATEMAT 86748 0% 100% 1
4 ANALISIS 86748 0% 100% 1
5 CIENCIAS EXPT ALMERIA 86748 0% 100% 1
6 DPTO ALGEBRA ANAL MAT 86748 0% 100% 1
7 FEDERAT CNRS NORD PASDE CALAIS FR 2956 86748 0% 100% 1
8 EU ARQUITECTURA TECN 48184 1% 11% 5
9 MATH COMP SCI PHYS ASTRON WINS 43373 0% 50% 1
10 NSF WORKSHOP LINEAR ANAL PROBABIL 43373 0% 50% 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 STUDIA MATHEMATICA 18524 7% 1% 25
2 BANACH JOURNAL OF MATHEMATICAL ANALYSIS 11664 2% 2% 7
3 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 9498 14% 0% 48
4 TRENDS IN MATHEMATICS 7610 2% 1% 8
5 ISRAEL JOURNAL OF MATHEMATICS 7477 5% 0% 18
6 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 7459 11% 0% 38
7 CENTRAL EUROPEAN JOURNAL OF MATHEMATICS 4929 2% 1% 7
8 JOURNAL OF FUNCTIONAL ANALYSIS 3843 5% 0% 17
9 BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 3029 3% 0% 10
10 ARKIV FOR MATEMATIK 2863 1% 1% 5

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 NUMERICAL INDEX 2039959 8% 87% 27 Search NUMERICAL+INDEX Search NUMERICAL+INDEX
2 DAUGAVET PROPERTY 1954704 7% 87% 26 Search DAUGAVET+PROPERTY Search DAUGAVET+PROPERTY
3 BISHOP PHELPS BOLLOBAS THEOREM 1561455 5% 100% 18 Search BISHOP+PHELPS+BOLLOBAS+THEOREM Search BISHOP+PHELPS+BOLLOBAS+THEOREM
4 NARROW OPERATOR 1277548 5% 82% 18 Search NARROW+OPERATOR Search NARROW+OPERATOR
5 DAUGAVET EQUATION 1222001 5% 78% 18 Search DAUGAVET+EQUATION Search DAUGAVET+EQUATION
6 NORM ATTAINING 1133499 4% 93% 14 Search NORM+ATTAINING Search NORM+ATTAINING
7 NORM ATTAINING OPERATORS 1110362 5% 80% 16 Search NORM+ATTAINING+OPERATORS Search NORM+ATTAINING+OPERATORS
8 BISHOP PHELPS THEOREM 552435 3% 58% 11 Search BISHOP+PHELPS+THEOREM Search BISHOP+PHELPS+THEOREM
9 BISHOP PHELPS BOLLOBAS PROPERTY 520485 2% 100% 6 Search BISHOP+PHELPS+BOLLOBAS+PROPERTY Search BISHOP+PHELPS+BOLLOBAS+PROPERTY
10 POLYNOMIAL NUMERICAL INDEX 433738 1% 100% 5 Search POLYNOMIAL+NUMERICAL+INDEX Search POLYNOMIAL+NUMERICAL+INDEX

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 ACOSTA, MD , BECERRA-GUERRERO, J , CHOI, YS , GARCIA, D , KIM, SK , LEE, HJ , MAESTRE, M , (2014) THE BISHOP-PHELPS-BOLLOBAS PROPERTY FOR BILINEAR FORMS AND POLYNOMIALS.JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. VOL. 66. ISSUE 3. P. 957 -979 24 100% 1
2 KIM, SK , LEE, HJ , MARTIN, M , (2016) ON THE BISHOP-PHELPS-BOLLOBAS THEOREM FOR OPERATORS AND NUMERICAL RADIUS.STUDIA MATHEMATICA. VOL. 233. ISSUE 2. P. 141 -151 21 100% 0
3 CHOI, YS , KIM, SK , LEE, HJ , MARTIN, M , (2014) THE BISHOP-PHELPS-BOLLOBAS THEOREM FOR OPERATORS ON L-1(MU).JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 267. ISSUE 1. P. 214-242 20 100% 0
4 KIM, SK , LEE, HJ , (2014) UNIFORM CONVEXITY AND THE BISHOP-PHELPS-BOLLOBAS PROPERTY.CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES. VOL. 66. ISSUE 2. P. 373-386 17 100% 5
5 CHOI, YS , GARCIA, D , KIM, SK , MAESTRE, M , (2014) SOME GEOMETRIC PROPERTIES OF DISK ALGEBRAS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 409. ISSUE 1. P. 147-157 16 100% 1
6 KIM, SK , LEE, HJ , MARTIN, M , (2016) BISHOP-PHELPS-BOLLOBAS PROPERTY FOR BILINEAR FORMS ON SPACES OF CONTINUOUS FUNCTIONS.MATHEMATISCHE ZEITSCHRIFT. VOL. 283. ISSUE 1-2. P. 157 -167 18 82% 0
7 ARON, R , CHOI, YS , KIM, SK , LEE, HJ , MARTIN, M , (2015) THE BISHOP-PHELPS-BOLLOBAS VERSION OF LINDENSTRAUSS PROPERTIES A AND B.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 367. ISSUE 9. P. 6085 -6101 15 100% 0
8 KIM, SK , (2016) SOME OBSERVATIONS ON THE NUMERICAL INDEX AND THE POLYNOMIAL NUMERICAL INDEX.BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 53. ISSUE 1. P. 119 -126 14 100% 0
9 KIM, SK , LEE, HJ , (2015) THE BISHOP-PHELPS-BOLLOBAS PROPERTY FOR OPERATORS FROM C(K) TO UNIFORMLY CONVEX SPACES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 421. ISSUE 1. P. 51 -58 14 100% 0
10 CAPEL, A , MARTIN, M , MERI, J , (2017) NUMERICAL RADIUS ATTAINING COMPACT LINEAR OPERATORS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 445. ISSUE 2. P. 1258 -1266 14 93% 0

Classes with closest relation at Level 1


Rank Class id link
1 14870 APPROXIMATION PROPERTY//BOUNDED APPROXIMATION PROPERTY//P COMPACT OPERATOR
2 9177 JAMES CONSTANT//NORMAL STRUCTURE//FIXED POINT PROPERTY
3 10686 ABSOLUTELY SUMMING OPERATORS//BOHNENBLUST HILLE INEQUALITY//MULTILINEAR MAPPINGS
4 15307 JB TRIPLE//JBW TRIPLE//JB ALGEBRA
5 12387 FRAGMENTABILITY//RENORMING//PROJECTIONAL SKELETON
6 25949 ISOMETRIC EXTENSION//MAZUR ULAM THEOREM//EPSILON ISOMETRY
7 23177 ORDER CONTINUOUS NORM//SCI ECON JURID SOCIALES//BANACH LATTICE
8 15367 STRICT TOPOLOGIES//WEAKLY COMPACT OPERATORS//MACKEY TOPOLOGIES
9 24581 MINIMAL DISPLACEMENT//MORSE SARD THEOREM//C 1 SMOOTH FUNCTION
10 23990 MINIMAL PROJECTION//PROJECTION CONSTANTS//COMONOTONE APPROXIMATION

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