Class information for:
Level 1: MEAN ERGODIC OPERATOR//POWER BOUNDED OPERATOR//COHOMOLOGY EQUATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
28993 195 14.3 25%


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
2872 2             HYPERCYCLIC OPERATORS//HYPERCYCLIC VECTORS//HYPERCYCLIC 2870
28993 1                   MEAN ERGODIC OPERATOR//POWER BOUNDED OPERATOR//COHOMOLOGY EQUATION 195

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 MEAN ERGODIC OPERATOR authKW 978692 5% 63% 10
2 POWER BOUNDED OPERATOR authKW 541346 6% 31% 11
3 COHOMOLOGY EQUATION authKW 469776 2% 100% 3
4 NORMALIZED MEAN SQUARE COVARIANCE NMSV authKW 469776 2% 100% 3
5 UNIFORMLY MEAN ERGODIC OPERATOR authKW 469776 2% 100% 3
6 ASYMPTOTIC DOMINATION authKW 313184 1% 100% 2
7 NORMALIZED FREQUENCY MEAN SQUARE COVARIANCE NFMSV authKW 313184 1% 100% 2
8 POSITIVE CONTRACTIONS OF LP authKW 313184 1% 100% 2
9 RATIO TAUBERIAN THEOREM authKW 313184 1% 100% 2
10 AFFINE OPERATOR authKW 208788 1% 67% 2

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 8591 89% 0% 174
2 Mathematics, Applied 945 28% 0% 55
3 Telecommunications 57 5% 0% 10
4 Statistics & Probability 21 3% 0% 6
5 Engineering, Electrical & Electronic 9 7% 0% 13
6 Transportation Science & Technology 2 1% 0% 1
7 Computer Science, Hardware & Architecture 0 1% 0% 1
8 Computer Science, Software Engineering -0 1% 0% 1
9 Computer Science, Information Systems -0 1% 0% 1
10 Computer Science, Interdisciplinary Applications -0 1% 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 MATH GEOGR FAK 174375 4% 16% 7
2 ARBEITSBEREICH FUNKT ANAL MATH 156592 1% 100% 1
3 FB MATH C 156592 1% 100% 1
4 MOBILE COMM BROADCASTING CONVERGENCE SOC TE 156592 1% 100% 1
5 SOBOLEV MATH SB RAS 78295 1% 50% 1
6 FB C MATH 52196 1% 33% 1
7 MATH GEOGR H FAK 52196 1% 33% 1
8 IUMPA 47762 3% 5% 6
9 POLITECN SUPER ALCOY E 39146 1% 25% 1
10 DIPARTIMENTO MATEMAT FIS E DE GIORGI 26705 3% 3% 6

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 33479 13% 1% 25
2 TRENDS IN MATHEMATICS 7732 3% 1% 6
3 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 5426 14% 0% 27
4 SEMIGROUP FORUM 3308 4% 0% 7
5 CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 2447 3% 0% 6
6 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2379 8% 0% 16
7 ANNALES DE L INSTITUT HENRI POINCARE SECTION B-CALCUL DES PROBABILITES ET STATISTIQUE 2235 1% 1% 1
8 SIBERIAN MATHEMATICAL JOURNAL 1860 3% 0% 6
9 REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS 1717 1% 1% 2
10 COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE 1173 4% 0% 8

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 MEAN ERGODIC OPERATOR 978692 5% 63% 10 Search MEAN+ERGODIC+OPERATOR Search MEAN+ERGODIC+OPERATOR
2 POWER BOUNDED OPERATOR 541346 6% 31% 11 Search POWER+BOUNDED+OPERATOR Search POWER+BOUNDED+OPERATOR
3 COHOMOLOGY EQUATION 469776 2% 100% 3 Search COHOMOLOGY+EQUATION Search COHOMOLOGY+EQUATION
4 NORMALIZED MEAN SQUARE COVARIANCE NMSV 469776 2% 100% 3 Search NORMALIZED+MEAN+SQUARE+COVARIANCE+NMSV Search NORMALIZED+MEAN+SQUARE+COVARIANCE+NMSV
5 UNIFORMLY MEAN ERGODIC OPERATOR 469776 2% 100% 3 Search UNIFORMLY+MEAN+ERGODIC+OPERATOR Search UNIFORMLY+MEAN+ERGODIC+OPERATOR
6 ASYMPTOTIC DOMINATION 313184 1% 100% 2 Search ASYMPTOTIC+DOMINATION Search ASYMPTOTIC+DOMINATION
7 NORMALIZED FREQUENCY MEAN SQUARE COVARIANCE NFMSV 313184 1% 100% 2 Search NORMALIZED+FREQUENCY+MEAN+SQUARE+COVARIANCE+NFMSV Search NORMALIZED+FREQUENCY+MEAN+SQUARE+COVARIANCE+NFMSV
8 POSITIVE CONTRACTIONS OF LP 313184 1% 100% 2 Search POSITIVE+CONTRACTIONS+OF+LP Search POSITIVE+CONTRACTIONS+OF+LP
9 RATIO TAUBERIAN THEOREM 313184 1% 100% 2 Search RATIO+TAUBERIAN+THEOREM Search RATIO+TAUBERIAN+THEOREM
10 AFFINE OPERATOR 208788 1% 67% 2 Search AFFINE+OPERATOR Search AFFINE+OPERATOR

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 STOROZHUK, KV , (2011) A CONDITION FOR ASYMPTOTIC FINITE-DIMENSIONALITY OF AN OPERATOR SEMIGROUP.SIBERIAN MATHEMATICAL JOURNAL. VOL. 52. ISSUE 6. P. 1104-1107 10 91% 0
2 SATO, R , (2006) ON ERGODIC AVERAGES AND THE RANGE OF A CLOSED OPERATOR.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 10. ISSUE 5. P. 1193 -1223 10 91% 0
3 PISZCZEK, K , (2013) ANOTHER MEAN ERGODIC CHARACTERIZATION OF QUASI-REFLEXIVE SPACES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 406. ISSUE 1. P. 299-306 7 100% 0
4 ERNEL'YANOV, EY , WOLFF, MPH , (2006) ASYMPTOTIC BEHAVIOR OF MARKOV SEMIGROUPS ON PREDUALS OF VON NEUMANN ALGEBRAS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 314. ISSUE 2. P. 749-763 10 83% 0
5 STOROZHUK, KV , (2012) ISOMETRIES WITH DENSE WINDINGS OF THE TORUS IN C(M).FUNCTIONAL ANALYSIS AND ITS APPLICATIONS. VOL. 46. ISSUE 3. P. 232-233 7 100% 0
6 FONF, VP , LIN, M , WOJTASZCZYK, P , (2011) POISSON'S EQUATION AND CHARACTERIZATIONS OF REFLEXIVITY OF BANACH SPACES.COLLOQUIUM MATHEMATICUM. VOL. 124. ISSUE 2. P. 225-235 7 100% 1
7 ALBANESE, AA , JORNET, D , (2016) DISSIPATIVE OPERATORS AND ADDITIVE PERTURBATIONS IN LOCALLY CONVEX SPACES.MATHEMATISCHE NACHRICHTEN. VOL. 289. ISSUE 8-9. P. 920 -949 9 69% 0
8 ALBANESE, AA , BONET, J , RICKER, WJ , (2012) MEAN ERGODIC SEMIGROUPS OF OPERATORS.REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS. VOL. 106. ISSUE 2. P. 299 -319 9 69% 5
9 ABDELALI, ZE , (2010) NON METRIZABILITY OF SOME TOPOLOGIZABLE ALGEBRAS.OPERATORS AND MATRICES. VOL. 4. ISSUE 4. P. 541-558 6 100% 0
10 EMEL'YANOV, EY , WOLFF, MPH , (2003) POSITIVE OPERATORS ON BANACH SPACES ORDERED BY STRONGLY NORMAL CONES.POSITIVITY. VOL. 7. ISSUE 1-2. P. 3-22 9 75% 9

Classes with closest relation at Level 1


Rank Class id link
1 23177 ORDER CONTINUOUS NORM//SCI ECON JURID SOCIALES//BANACH LATTICE
2 17473 BUNDLE CONVERGENCE//GELFAND NAIMARK SEGAL REPRESENTATION THEOREM//BANACH PRINCIPLE
3 18236 BOUNDED CONJUGATION ORBIT//KATZNELSON TZAFRIRI THEOREM//ARENS MICHAEL REPRESENTATION
4 14970 INTEGRATED SEMIGROUP//C SEMIGROUPS//ABSTRACT CAUCHY PROBLEM
5 22037 VECTOR MEASURE//BANACH FUNCTION SPACE//MATH GEOGR FAK
6 22112 RESOLVENT CONDITION//KREISS MATRIX THEOREM//MAXIMUM NORM
7 37197 DIVERGENCE SETS//LACUNARY SEQUENCE OF PARTIAL SUMS//MATH ANAL GEOMETRY
8 10246 SPACES OF REAL ANALYTIC FUNCTIONS//ULTRADIFFERENTIABLE FUNCTIONS//LINEAR TOPOLOGICAL INVARIANTS
9 21535 QUADRATIC STOCHASTIC OPERATOR//EVOLUTION ALGEBRA//BARIC ALGEBRA
10 7300 WEYLS THEOREM//SINGLE VALUED EXTENSION PROPERTY//BROWDERS THEOREM

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