Class information for:
Level 1: LEBESGUE TYPE DECOMPOSITION//NONNEGATIVE SESQUILINEAR FORMS//ALMOST DOMINATED PART

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
20957 439 18.6 27%


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
631 2             C ALGEBRA//MATHEMATICS//JOURNAL OF OPERATOR THEORY 13793
20957 1                   LEBESGUE TYPE DECOMPOSITION//NONNEGATIVE SESQUILINEAR FORMS//ALMOST DOMINATED PART 439

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 LEBESGUE TYPE DECOMPOSITION authKW 632323 2% 91% 10
2 NONNEGATIVE SESQUILINEAR FORMS authKW 486890 2% 100% 7
3 ALMOST DOMINATED PART authKW 417334 1% 100% 6
4 COMMUTING EXPONENTIALS authKW 417334 1% 100% 6
5 PARTIAL ALGEBRAS authKW 409143 2% 59% 10
6 QUASI ALGEBRA authKW 357713 1% 86% 6
7 PARTIAL O ALGEBRAS authKW 278223 1% 100% 4
8 PARALLEL SUM authKW 244946 2% 39% 9
9 GB ALGEBRA authKW 222577 1% 80% 4
10 BOUNDED ELEMENTS authKW 208667 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 15637 80% 0% 353
2 Mathematics, Applied 2133 28% 0% 124
3 Physics, Mathematical 720 12% 0% 52
4 Physics, Multidisciplinary 55 7% 0% 30
5 Statistics & Probability 2 1% 0% 5
6 Physics, Particles & Fields -3 0% 0% 1
7 Mechanics -3 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 PL ANAL 95222 5% 7% 21
2 CIENCIAS EDUC MATEMAT 69556 0% 100% 1
3 DIP DEIM 69556 0% 100% 1
4 DIP ENERGIA ING INFORMAZ MODELLI MATEMAT 69556 0% 100% 1
5 DIPARTIMENTO DEIM 69556 0% 100% 1
6 DIPARTIMENTO METOD MODELL MATEMAT 69556 0% 100% 1
7 FUNCT MATH 69556 0% 100% 1
8 HOCH ULE TECH 69556 0% 100% 1
9 MATEMAT SECT 69556 0% 100% 1
10 PHYS SCI ASTR 69556 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 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 31953 5% 2% 24
2 MATHEMATISCHE NACHRICHTEN 17756 7% 1% 32
3 JOURNAL OF OPERATOR THEORY 15708 4% 1% 17
4 ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE 14292 3% 2% 11
5 MEDITERRANEAN JOURNAL OF MATHEMATICS 9268 3% 1% 11
6 STUDIA MATHEMATICA 8564 4% 1% 19
7 PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES 7367 3% 1% 11
8 ACTA SCIENTIARUM MATHEMATICARUM 5905 1% 2% 5
9 JOURNAL OF MATHEMATICAL PHYSICS 5016 8% 0% 34
10 BANACH JOURNAL OF MATHEMATICAL ANALYSIS 4767 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 LEBESGUE TYPE DECOMPOSITION 632323 2% 91% 10 Search LEBESGUE+TYPE+DECOMPOSITION Search LEBESGUE+TYPE+DECOMPOSITION
2 NONNEGATIVE SESQUILINEAR FORMS 486890 2% 100% 7 Search NONNEGATIVE+SESQUILINEAR+FORMS Search NONNEGATIVE+SESQUILINEAR+FORMS
3 ALMOST DOMINATED PART 417334 1% 100% 6 Search ALMOST+DOMINATED+PART Search ALMOST+DOMINATED+PART
4 COMMUTING EXPONENTIALS 417334 1% 100% 6 Search COMMUTING+EXPONENTIALS Search COMMUTING+EXPONENTIALS
5 PARTIAL ALGEBRAS 409143 2% 59% 10 Search PARTIAL+ALGEBRAS Search PARTIAL+ALGEBRAS
6 QUASI ALGEBRA 357713 1% 86% 6 Search QUASI+ALGEBRA Search QUASI+ALGEBRA
7 PARTIAL O ALGEBRAS 278223 1% 100% 4 Search PARTIAL+O+ALGEBRAS Search PARTIAL+O+ALGEBRAS
8 PARALLEL SUM 244946 2% 39% 9 Search PARALLEL+SUM Search PARALLEL+SUM
9 GB ALGEBRA 222577 1% 80% 4 Search GB+ALGEBRA Search GB+ALGEBRA
10 BOUNDED ELEMENTS 208667 1% 100% 3 Search BOUNDED+ELEMENTS Search BOUNDED+ELEMENTS

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 ANTOINE, JP , INOUE, A , TRAPANI, C , (1996) PARTIAL *-ALGEBRAS OF CLOSABLE OPERATORS: A REVIEW.REVIEWS IN MATHEMATICAL PHYSICS. VOL. 8. ISSUE 1. P. 1-42 31 100% 8
2 TRAPANI, C , TRIOLO, S , (2015) LOCALLY CONVEX QUASI C*-ALGEBRAS AND NONCOMMUTATIVE INTEGRATION.STUDIA MATHEMATICA. VOL. 228. ISSUE 1. P. 33 -45 14 100% 0
3 ANTOINE, JP , BAGARELLO, F , TRAPANI, C , (1999) TOPOLOGICAL PARTIAL *-ALGEBRAS: BASIC PROPERTIES AND EXAMPLES.REVIEWS IN MATHEMATICAL PHYSICS. VOL. 11. ISSUE 3. P. 267 -302 22 96% 4
4 INOUE, A , KARWOWSKI, W , TAKAKURA, M , (2004) TRACE REPRESENTATION OF WEIGHTS ON PARTIAL O*-ALGEBRAS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 292. ISSUE 1. P. 96-114 16 100% 0
5 TRAPANI, C , (2008) *-REPRESENTATIONS, SEMINORMS AND STRUCTURE PROPERTIES OF NORMED QUASI *-ALGEBRAS.STUDIA MATHEMATICA. VOL. 186. ISSUE 1. P. 47 -75 14 100% 7
6 SEBESTYEN, Z , TARCSAY, Z , TITKOS, T , (2015) A SHORT-TYPE DECOMPOSITION OF FORMS.OPERATORS AND MATRICES. VOL. 9. ISSUE 4. P. 815 -830 12 100% 0
7 TARCSAY, Z , (2016) LEBESGUE DECOMPOSITION FOR REPRESENTABLE FUNCTIONALS ON *-ALGEBRAS.GLASGOW MATHEMATICAL JOURNAL. VOL. 58. ISSUE 2. P. 491 -501 10 100% 1
8 ANTOINE, JP , INOUE, A , TRAPANI, C , (2000) BIWEIGHTS ON PARTIAL *-ALGEBRAS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 242. ISSUE 2. P. 164 -190 16 100% 5
9 BELLOMONTE, G , DI BELLA, S , TRAPANI, C , (2014) OPERATORS IN RIGGED HILBERT SPACES: SOME SPECTRAL PROPERTIES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 411. ISSUE 2. P. 931-946 15 71% 0
10 TRAPANI, C , (1995) QUASI*-ALGEBRAS OF OPERATORS AND THEIR APPLICATIONS.REVIEWS IN MATHEMATICAL PHYSICS. VOL. 7. ISSUE 8. P. 1303-1332 19 95% 21

Classes with closest relation at Level 1


Rank Class id link
1 25790 WEIGHTED SHIFT ON A DIRECTED TREE//SUBNORMAL OPERATOR//KATEDRA ZASTOSOWAN MATEMAT
2 23652 ALPHA COMPLETELY POSITIVE MAP//J REPRESENTATION//WICK POWERS
3 23844 SUBNORMS//CONVENIENT SETTING//SUBMODULI
4 28933 SUBHOMOGENEOUS//SWISS CHEESES//BANACH BUNDLE
5 12972 KREIN SPACE//DEFINITIZABLE OPERATOR//ANAL TECH MATH
6 13959 E 0 SEMIGROUPS//QUANTUM MARKOV SEMIGROUP//PRODUCT SYSTEMS
7 21486 INFINITE DIMENSIONAL LIE GROUP//FRECHET MANIFOLD//REGULAR LIE GROUP
8 18463 APPROXIMATING HAMILTONIAN METHOD//GENERALIZED BOSE EINSTEIN CONDENSATION//BOGOLIUBOV WEAKLY IMPERFECT GAS
9 13147 NONCOMMUTATIVE L P SPACES//MEASURABLE OPERATOR//NONCOMMUTATIVE MARTINGALES
10 20256 CAUSAL SETS//ABSTRACT DIFFERENTIAL GEOMETRY//BOOLEAN LOCALIZATION SYSTEMS

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