Class information for:
Level 1: ABSOLUTELY SUMMING OPERATORS//BOHNENBLUST HILLE INEQUALITY//MULTILINEAR MAPPINGS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10686 1042 18.3 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
1493 2             MATHEMATICS//ANAL MATEMAT//VECTOR MEASURE 7619
10686 1                   ABSOLUTELY SUMMING OPERATORS//BOHNENBLUST HILLE INEQUALITY//MULTILINEAR MAPPINGS 1042

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 ABSOLUTELY SUMMING OPERATORS authKW 759771 3% 79% 33
2 BOHNENBLUST HILLE INEQUALITY authKW 615363 2% 100% 21
3 MULTILINEAR MAPPINGS authKW 450806 2% 77% 20
4 PIETSCH DOMINATION THEOREM authKW 324585 1% 92% 12
5 HOMOGENEOUS POLYNOMIALS authKW 308530 4% 28% 37
6 MATEMAT PAB 1 address 286649 1% 65% 15
7 ANAL MATEMAT address 262631 15% 6% 153
8 P SUMMING authKW 253257 1% 79% 11
9 SYMMETRIC TENSOR PRODUCTS authKW 236372 1% 73% 11
10 ANAL FONCT GEOMETRIE ESPACES address 208375 1% 89% 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 54667 97% 0% 1013
2 Mathematics, Applied 5161 29% 0% 297
3 Multidisciplinary Sciences 23 1% 0% 11
4 Statistics & Probability -2 0% 0% 3
5 Physics, Mathematical -2 0% 0% 4
6 Computer Science, Theory & Methods -6 0% 0% 1
7 Mechanics -10 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 MATEMAT PAB 1 286649 1% 65% 15
2 ANAL MATEMAT 262631 15% 6% 153
3 ANAL FONCT GEOMETRIE ESPACES 208375 1% 89% 8
4 ECON MATEMAT 143581 1% 70% 7
5 CS EXACTAS NAT 102672 2% 18% 19
6 POZNAN BRANCH 72806 1% 19% 13
7 ETSMRE 66592 0% 45% 5
8 PAB 1 58606 0% 100% 2
9 MATEMAT 49729 21% 1% 223
10 UNIV MATEMAT PURA LICADA 48792 2% 7% 25

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 47660 7% 2% 69
2 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 24617 13% 1% 133
3 MATHEMATISCHE NACHRICHTEN 14106 4% 1% 44
4 PROCEEDINGS OF THE ROYAL IRISH ACADEMY SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES 13674 1% 6% 8
5 ARCHIV DER MATHEMATIK 11748 4% 1% 45
6 JOURNAL OF FUNCTIONAL ANALYSIS 7171 4% 1% 40
7 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 7093 6% 0% 64
8 QUAESTIONES MATHEMATICAE 6811 1% 2% 10
9 INDAGATIONES MATHEMATICAE-NEW SERIES 6225 2% 1% 16
10 PROCEEDINGS OF THE ROYAL IRISH ACADEMY SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES 5093 0% 9% 2

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 ABSOLUTELY SUMMING OPERATORS 759771 3% 79% 33 Search ABSOLUTELY+SUMMING+OPERATORS Search ABSOLUTELY+SUMMING+OPERATORS
2 BOHNENBLUST HILLE INEQUALITY 615363 2% 100% 21 Search BOHNENBLUST+HILLE+INEQUALITY Search BOHNENBLUST+HILLE+INEQUALITY
3 MULTILINEAR MAPPINGS 450806 2% 77% 20 Search MULTILINEAR+MAPPINGS Search MULTILINEAR+MAPPINGS
4 PIETSCH DOMINATION THEOREM 324585 1% 92% 12 Search PIETSCH+DOMINATION+THEOREM Search PIETSCH+DOMINATION+THEOREM
5 HOMOGENEOUS POLYNOMIALS 308530 4% 28% 37 Search HOMOGENEOUS+POLYNOMIALS Search HOMOGENEOUS+POLYNOMIALS
6 P SUMMING 253257 1% 79% 11 Search P+SUMMING Search P+SUMMING
7 SYMMETRIC TENSOR PRODUCTS 236372 1% 73% 11 Search SYMMETRIC+TENSOR+PRODUCTS Search SYMMETRIC+TENSOR+PRODUCTS
8 MULTIPLE SUMMING OPERATORS 205121 1% 100% 7 Search MULTIPLE+SUMMING+OPERATORS Search MULTIPLE+SUMMING+OPERATORS
9 MULTILINEAR OPERATORS 181797 2% 28% 22 Search MULTILINEAR+OPERATORS Search MULTILINEAR+OPERATORS
10 MULTI IDEALS 175818 1% 100% 6 Search MULTI+IDEALS Search MULTI+IDEALS

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 PELLEGRINO, D , SANTOS, J , (2011) ABSOLUTELY SUMMING MULTILINEAR OPERATORS: A PANORAMA.QUAESTIONES MATHEMATICAE. VOL. 34. ISSUE 4. P. 447-478 41 93% 9
2 PELLEGRINO, D , RIBEIRO, J , (2014) ON MULTI-IDEALS AND POLYNOMIAL IDEALS OF BANACH SPACES: A NEW APPROACH TO COHERENCE AND COMPATIBILITY.MONATSHEFTE FUR MATHEMATIK. VOL. 173. ISSUE 3. P. 379-415 34 92% 4
3 ARAUJO, G , JIMENEZ-RODRIGUEZ, P , MUNOZ-FERNANDEZ, GA , SEOANE-SEPULVEDA, JB , (2017) EQUIVALENT NORMS IN POLYNOMIAL SPACES AND APPLICATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 445. ISSUE 2. P. 1200 -1220 17 100% 1
4 BERNARDINO, AT , PELLEGRINO, D , SEOANE-SEPULVEDA, JB , SOUZA, MLV , (2015) NONLINEAR ABSOLUTELY SUMMING OPERATORS REVISITED.BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY. VOL. 46. ISSUE 2. P. 205 -249 36 80% 0
5 PELLEGRINO, D , SANTOS, J , SEOANE-SEPULVEDA, JB , (2012) SOME TECHNIQUES ON NONLINEAR ANALYSIS AND APPLICATIONS.ADVANCES IN MATHEMATICS. VOL. 229. ISSUE 2. P. 1235 -1265 28 93% 17
6 BOTELHO, G , PELLEGRINO, D , RUEDA, P , (2010) DOMINATED POLYNOMIALS ON INFINITE DIMENSIONAL SPACES.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 138. ISSUE 1. P. 209-216 29 100% 3
7 PELLEGRINO, D , RUEDA, P , SANCHEZ-PEREZ, E , (2016) SURVEYING THE SPIRIT OF ABSOLUTE SUMMABILITY ON MULTILINEAR OPERATORS AND HOMOGENEOUS POLYNOMIALS.REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS. VOL. 110. ISSUE 1. P. 285 -302 24 92% 1
8 GAMEZ-MERINO, JL , MUNOZ-FERNANDEZ, GA , SANCHEZ, VM , SEOANE-SEPULVEDA, JB , (2013) INEQUALITIES FOR POLYNOMIALS ON THE UNIT SQUARE VIA THE KREIN-MILMAN THEOREM.JOURNAL OF CONVEX ANALYSIS. VOL. 20. ISSUE 1. P. 125-142 25 100% 3
9 ACHOUR, D , DAHIA, E , RUEDA, P , PEREZ, EAS , (2013) FACTORIZATION OF ABSOLUTELY CONTINUOUS POLYNOMIALS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 405. ISSUE 1. P. 259-270 26 93% 3
10 DIMANT, V , GALICER, D , GARCIA, R , (2012) GEOMETRY OF INTEGRAL POLYNOMIALS, M-IDEALS AND UNIQUE NORM PRESERVING EXTENSIONS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 262. ISSUE 5. P. 1987-2012 26 90% 1

Classes with closest relation at Level 1


Rank Class id link
1 32718 LINEAR POLARIZATION CONSTANTS//POLARIZATION CONSTANT//PRODUCT OF LINEAR FUNCTIONALS
2 23273 NUMERICAL INDEX//DAUGAVET PROPERTY//BISHOP PHELPS BOLLOBAS THEOREM
3 15367 STRICT TOPOLOGIES//WEAKLY COMPACT OPERATORS//MACKEY TOPOLOGIES
4 14870 APPROXIMATION PROPERTY//BOUNDED APPROXIMATION PROPERTY//P COMPACT OPERATOR
5 10246 SPACES OF REAL ANALYTIC FUNCTIONS//ULTRADIFFERENTIABLE FUNCTIONS//LINEAR TOPOLOGICAL INVARIANTS
6 22037 VECTOR MEASURE//BANACH FUNCTION SPACE//MATH GEOGR FAK
7 14362 OPERATOR SPACE//OPERATOR SYSTEM//BIMEASURES
8 12607 STRICTLY SINGULAR OPERATOR//SZLENK INDEX//KRUGLOV PROPERTY
9 18116 BANACH STONE THEOREM//DISJOINTNESS PRESERVING OPERATOR//F ALGEBRA
10 19898 ENTROPY NUMBERS//APPROXIMATION NUMBERS//COMPACT EMBEDDINGS

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