Class information for:
Level 1: SUBNORMS//CONVENIENT SETTING//SUBMODULI

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
23844 333 13.5 24%



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
4023 2             SUBNORMS//HYPERGROUPS//CONVENIENT SETTING 663
23844 1                   SUBNORMS//CONVENIENT SETTING//SUBMODULI 333

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 SUBNORMS authKW 733577 2% 100% 8
2 CONVENIENT SETTING authKW 471584 2% 86% 6
3 SUBMODULI authKW 458486 2% 100% 5
4 UNIQUE UNIFORM NORM PROPERTY authKW 458486 2% 100% 5
5 C SEGAL ALGEBRA authKW 366789 1% 100% 4
6 LOCALLY A CONVEX ALGEBRAS authKW 366789 1% 100% 4
7 RADIUS OF AN ELEMENT IN A FINITE DIMENSIONAL POWER ASSOCIATIVE ALGEBRA authKW 366789 1% 100% 4
8 LOCALLY M CONVEX ALGEBRAS authKW 293429 1% 80% 4
9 FINITE DIMENSIONAL POWER ASSOCIATIVE ALGEBRAS authKW 275092 1% 100% 3
10 STABLE SUBNORMS authKW 275092 1% 100% 3

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 16417 94% 0% 314
2 Mathematics, Applied 1999 31% 0% 104
3 Multidisciplinary Sciences 18 2% 0% 5
4 Statistics & Probability 1 1% 0% 3
5 Physics, Mathematical 0 1% 0% 3
6 Engineering, General 0 1% 0% 2
7 Mechanics -0 1% 0% 3
8 Mathematics, Interdisciplinary Applications -0 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 CNRS LJAD 91697 0% 100% 1
2 RECH LATAO 91697 0% 100% 1
3 ALGEBRA TOPOL ARITHMET ORDER 63478 1% 23% 3
4 MATH PHYS NAT SCI TUNIS 39294 1% 14% 3
5 ECOLE NORMALE SUPER RABAT 13098 0% 14% 1
6 PREPARATOIRE ETUD INGN NABEUL 13098 0% 14% 1
7 FAK MATH 9195 6% 1% 20
8 SCI TECHNIQUES 7640 0% 8% 1
9 UMR 7351 4292 1% 2% 3
10 LJAD 4117 1% 2% 2

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 42933 11% 1% 37
2 BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN 17849 5% 1% 15
3 BANACH JOURNAL OF MATHEMATICAL ANALYSIS 4023 1% 1% 4
4 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 3677 8% 0% 26
5 LINEAR ALGEBRA AND ITS APPLICATIONS 3495 6% 0% 21
6 BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA 3447 1% 1% 3
7 ANNALS OF FUNCTIONAL ANALYSIS 2995 1% 1% 3
8 REVISTA MATEMATICA COMPLUTENSE 2995 1% 1% 3
9 MONATSHEFTE FUR MATHEMATIK 2582 2% 0% 8
10 QUAESTIONES MATHEMATICAE 1918 1% 1% 3

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 SUBNORMS 733577 2% 100% 8 Search SUBNORMS Search SUBNORMS
2 CONVENIENT SETTING 471584 2% 86% 6 Search CONVENIENT+SETTING Search CONVENIENT+SETTING
3 SUBMODULI 458486 2% 100% 5 Search SUBMODULI Search SUBMODULI
4 UNIQUE UNIFORM NORM PROPERTY 458486 2% 100% 5 Search UNIQUE+UNIFORM+NORM+PROPERTY Search UNIQUE+UNIFORM+NORM+PROPERTY
5 C SEGAL ALGEBRA 366789 1% 100% 4 Search C+SEGAL+ALGEBRA Search C+SEGAL+ALGEBRA
6 LOCALLY A CONVEX ALGEBRAS 366789 1% 100% 4 Search LOCALLY+A+CONVEX+ALGEBRAS Search LOCALLY+A+CONVEX+ALGEBRAS
7 RADIUS OF AN ELEMENT IN A FINITE DIMENSIONAL POWER ASSOCIATIVE ALGEBRA 366789 1% 100% 4 Search RADIUS+OF+AN+ELEMENT+IN+A+FINITE+DIMENSIONAL+POWER+ASSOCIATIVE+ALGEBRA Search RADIUS+OF+AN+ELEMENT+IN+A+FINITE+DIMENSIONAL+POWER+ASSOCIATIVE+ALGEBRA
8 LOCALLY M CONVEX ALGEBRAS 293429 1% 80% 4 Search LOCALLY+M+CONVEX+ALGEBRAS Search LOCALLY+M+CONVEX+ALGEBRAS
9 FINITE DIMENSIONAL POWER ASSOCIATIVE ALGEBRAS 275092 1% 100% 3 Search FINITE+DIMENSIONAL+POWER+ASSOCIATIVE+ALGEBRAS Search FINITE+DIMENSIONAL+POWER+ASSOCIATIVE+ALGEBRAS
10 STABLE SUBNORMS 275092 1% 100% 3 Search STABLE+SUBNORMS Search STABLE+SUBNORMS

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 GOLDBERG, M , (2005) STABLE NORMS - FROM THEORY TO APPLICATIONS AND BACK.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 404. ISSUE . P. 223-250 19 95% 3
2 KRIEGL, A , MICHOR, PW , RAINER, A , (2015) THE CONVENIENT SETTING FOR DENJOY-CARLEMAN DIFFERENTIABLE MAPPINGS OF BEURLING AND ROUMIEU TYPE.REVISTA MATEMATICA COMPLUTENSE. VOL. 28. ISSUE 3. P. 549 -597 13 76% 1
3 RAINER, A , SCHINDL, G , (2016) EQUIVALENCE OF STABILITY PROPERTIES FOR ULTRADIFFERENTIABLE FUNCTION CLASSES.REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS. VOL. 110. ISSUE 1. P. 17 -32 8 100% 0
4 GOLDBERG, M , (2008) STABLE SUBNORMS ON FINITE-DIMENSIONAL POWER-ASSOCIATIVE ALGEBRAS.ELECTRONIC JOURNAL OF LINEAR ALGEBRA. VOL. 17. ISSUE . P. 359-375 10 91% 1
5 PARUSINSKI, A , RAINER, A , (2015) A NEW PROOF OF BRONSHTEIN'S THEOREM.JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS. VOL. 12. ISSUE 4. P. 671 -688 9 82% 0
6 PARUSINSKI, A , RAINER, A , (2016) LIFTING DIFFERENTIABLE CURVES FROM ORBIT SPACES.TRANSFORMATION GROUPS. VOL. 21. ISSUE 1. P. 153 -179 10 71% 0
7 MATTAS, J , (2013) SEGAL ALGEBRAS, APPROXIMATE IDENTITIES AND NORM IRREGULARITY IN C-0(X, A).STUDIA MATHEMATICA. VOL. 215. ISSUE 2. P. 99-112 9 82% 0
8 GOLDBERG, M , LAFFEY, TJ , (2015) ON THE RADIUS IN CAYLEY-DICKSON ALGEBRAS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 143. ISSUE 11. P. 4733 -4744 7 100% 0
9 RAINER, A , (2014) DIFFERENTIABLE ROOTS, EIGENVALUES, AND EIGENVECTORS.ISRAEL JOURNAL OF MATHEMATICS. VOL. 201. ISSUE 1. P. 99 -122 8 89% 0
10 MICHOR, PW , RAINER, A , KRIEGL, A , (2016) THE EXPONENTIAL LAW FOR SPACES OF TEST FUNCTIONS AND DIFFEOMORPHISM GROUPS.INDAGATIONES MATHEMATICAE-NEW SERIES. VOL. 27. ISSUE 1. P. 225 -265 8 80% 0

Classes with closest relation at Level 1



Rank Class id link
1 37397 VECTOR LATTICE OF CONTINUOUS FUNCTIONS//ADAPTED SPACE//APPROXIMATION BY POSITIVE OPERATOR
2 20957 LEBESGUE TYPE DECOMPOSITION//NONNEGATIVE SESQUILINEAR FORMS//ALMOST DOMINATED PART
3 28933 SUBHOMOGENEOUS//SWISS CHEESES//BANACH BUNDLE
4 10246 SPACES OF REAL ANALYTIC FUNCTIONS//ULTRADIFFERENTIABLE FUNCTIONS//LINEAR TOPOLOGICAL INVARIANTS
5 21486 INFINITE DIMENSIONAL LIE GROUP//FRECHET MANIFOLD//REGULAR LIE GROUP
6 32093 SYNTHETIC DIFFERENTIAL GEOMETRY//C INFINITY RING//GLOBAL EQUIVALENCE
7 33160 COMPACT CONVERGENCE TOPOLOGY//PHI ALGEBRA//LOCALLY M CONVEX ALGEBRA
8 19062 TRIANGULARIZABILITY//INVARIANT SUBSPACE//EXTENDED EIGENVALUE
9 18116 BANACH STONE THEOREM//DISJOINTNESS PRESERVING OPERATOR//F ALGEBRA
10 26778 NATURAL OPERATOR//WEIL BUNDLE//BUNDLE FUNCTOR

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