Class information for:
Level 1: BOUNDED CONJUGATION ORBIT//KATZNELSON TZAFRIRI THEOREM//ARENS MICHAEL REPRESENTATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18236 560 14.9 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
18236 1                   BOUNDED CONJUGATION ORBIT//KATZNELSON TZAFRIRI THEOREM//ARENS MICHAEL REPRESENTATION 560

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 BOUNDED CONJUGATION ORBIT authKW 218105 1% 100% 4
2 KATZNELSON TZAFRIRI THEOREM authKW 174482 1% 80% 4
3 ARENS MICHAEL REPRESENTATION authKW 163579 1% 100% 3
4 WEAK STAR CONTINUITY authKW 163579 1% 100% 3
5 DOMINANT CONTRACTION authKW 109053 0% 100% 2
6 FRECHET ALGEBRA OF POWER SERIES authKW 109053 0% 100% 2
7 HILLE YOSIDA SPACE authKW 109053 0% 100% 2
8 LOYS CONDITION E authKW 109053 0% 100% 2
9 PERFECT SYMMETRIC SET authKW 109053 0% 100% 2
10 REPRESENTATION SEMIGROUP authKW 109053 0% 100% 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 25822 91% 0% 511
2 Mathematics, Applied 751 16% 0% 87
3 Statistics & Probability 161 5% 0% 26
4 Physics, Mathematical 2 1% 0% 7
5 Multidisciplinary Sciences 0 0% 0% 2
6 Geosciences, Multidisciplinary -0 1% 0% 6
7 Automation & Control Systems -1 0% 0% 1
8 Operations Research & Management Science -1 0% 0% 1
9 Mechanics -2 1% 0% 3

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 UP A 5467 109049 1% 50% 4
2 MECH PROBLEM 72700 0% 67% 2
3 MATH PU 62223 2% 10% 11
4 ANALYSE PLICAT URAC 03 54526 0% 100% 1
5 BORDELAIS ANAL GENOM 54526 0% 100% 1
6 BORDELAIS ANAL GEOMETRIE AG 54526 0% 100% 1
7 CMI LATP UMR CNRS 6632 54526 0% 100% 1
8 CNRSUM 6628 54526 0% 100% 1
9 ERS017 54526 0% 100% 1
10 IMB UMR CNRS 5352 54526 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 STUDIA MATHEMATICA 46601 9% 2% 50
2 JOURNAL OF OPERATOR THEORY 10899 3% 1% 16
3 THEORY OF PROBABILITY AND ITS APPLICATIONS 10041 3% 1% 19
4 LECTURE NOTES IN MATHEMATICS 8783 6% 0% 34
5 JOURNAL OF FUNCTIONAL ANALYSIS 7033 5% 0% 29
6 MATHEMATICA SCANDINAVICA 5662 2% 1% 12
7 ARKIV FOR MATEMATIK 4606 1% 1% 8
8 JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES 4358 3% 0% 17
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 3948 6% 0% 35
10 PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY 3516 2% 1% 10

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 BOUNDED CONJUGATION ORBIT 218105 1% 100% 4 Search BOUNDED+CONJUGATION+ORBIT Search BOUNDED+CONJUGATION+ORBIT
2 KATZNELSON TZAFRIRI THEOREM 174482 1% 80% 4 Search KATZNELSON+TZAFRIRI+THEOREM Search KATZNELSON+TZAFRIRI+THEOREM
3 ARENS MICHAEL REPRESENTATION 163579 1% 100% 3 Search ARENS+MICHAEL+REPRESENTATION Search ARENS+MICHAEL+REPRESENTATION
4 WEAK STAR CONTINUITY 163579 1% 100% 3 Search WEAK+STAR+CONTINUITY Search WEAK+STAR+CONTINUITY
5 DOMINANT CONTRACTION 109053 0% 100% 2 Search DOMINANT+CONTRACTION Search DOMINANT+CONTRACTION
6 FRECHET ALGEBRA OF POWER SERIES 109053 0% 100% 2 Search FRECHET+ALGEBRA+OF+POWER+SERIES Search FRECHET+ALGEBRA+OF+POWER+SERIES
7 HILLE YOSIDA SPACE 109053 0% 100% 2 Search HILLE+YOSIDA+SPACE Search HILLE+YOSIDA+SPACE
8 LOYS CONDITION E 109053 0% 100% 2 Search LOYS+CONDITION+E Search LOYS+CONDITION+E
9 PERFECT SYMMETRIC SET 109053 0% 100% 2 Search PERFECT+SYMMETRIC+SET Search PERFECT+SYMMETRIC+SET
10 REPRESENTATION SEMIGROUP 109053 0% 100% 2 Search REPRESENTATION+SEMIGROUP Search REPRESENTATION+SEMIGROUP

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 SEIFERT, D , (2015) SOME IMPROVEMENTS OF THE KATZNELSON-TZAFRIRI THEOREM ON HILBERT SPACE.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 143. ISSUE 9. P. 3827 -3838 15 94% 0
2 MUKHAMEDOV, F , (2015) ON A MULTI-PARAMETRIC GENERALIZATION OF THE UNIFORM ZERO-TWO LAW IN L-1-SPACES.BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 52. ISSUE 6. P. 1819 -1826 12 100% 0
3 GRABINER, S , (2010) WEAK* PROPERTIES OF WEIGHTED CONVOLUTION ALGEBRAS II.STUDIA MATHEMATICA. VOL. 198. ISSUE 1. P. 53-67 12 100% 1
4 GHAHRAMANI, F , READ, CJ , WILLIS, GA , (2010) CLOSED IDEAL STRUCTURE AND COHOMOLOGICAL PROPERTIES OF CERTAIN RADICAL BANACH ALGEBRAS.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 100. ISSUE . P. 533 -559 12 92% 0
5 GRABINER, S , (2009) EQUIVALENT WEIGHTS AND STANDARD HOMOMORPHISMS FOR CONVOLUTION ALGEBRAS ON R+.PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. VOL. 52. ISSUE . P. 409-418 11 100% 0
6 MUSTAFAYEV, H , (2015) GROWTH CONDITIONS FOR CONJUGATION ORBITS OF OPERATORS ON BANACH SPACES.JOURNAL OF OPERATOR THEORY. VOL. 74. ISSUE 2. P. 281 -306 9 100% 0
7 ESTERLE, J , VOLBERG, A , (2002) ASYMPTOTICALLY HOLOMORPHIC FUNCTIONS AND TRANSLATION INVARIANT SUBSPACES OF WEIGHTED HILBERT SPACES OF SEQUENCES.ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE. VOL. 35. ISSUE 2. P. 185 -230 17 74% 2
8 GRABINER, S , (2004) WEAK* PROPERTIES OF WEIGHTED CONVOLUTION ALGEBRAS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 132. ISSUE 6. P. 1675 -1684 11 100% 3
9 GRABINER, S , (2006) HOMOMORPHISMS OF THE ALGEBRA OF LOCALLY INTEGRABLE FUNCTIONS ON THE HALF LINE.JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY. VOL. 81. ISSUE . P. 253-278 10 100% 1
10 BATTY, CJK , VAN NEERVEN, J , RABIGER, F , (1998) LOCAL SPECTRA AND INDIVIDUAL STABILITY OF UNIFORMLY BOUNDED C-0-SEMIGROUPS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 350. ISSUE 5. P. 2071-2085 12 100% 19

Classes with closest relation at Level 1


Rank Class id link
1 28993 MEAN ERGODIC OPERATOR//POWER BOUNDED OPERATOR//COHOMOLOGY EQUATION
2 37400 BEURLING GENERALIZED PRIMES//BEURLING GENERALIZED NUMBERS//CHEBYSHEV PRIME BOUNDS
3 22112 RESOLVENT CONDITION//KREISS MATRIX THEOREM//MAXIMUM NORM
4 8786 FOURIER ALGEBRA//LOCALLY COMPACT GROUP//ARENS PRODUCT
5 14970 INTEGRATED SEMIGROUP//C SEMIGROUPS//ABSTRACT CAUCHY PROBLEM
6 19062 TRIANGULARIZABILITY//INVARIANT SUBSPACE//EXTENDED EIGENVALUE
7 28282 LIPSCHITZ ALGEBRAS//RECTIFIABLY CONNECTED//QUASICOMPACT
8 30091 ANALYTIC NUMERICAL SOLUTION//COUPLED DIFFUSION PROBLEM//A PRIORI ERROR BOUND
9 10427 PIECEWISE CONSTANT ARGUMENT//ALMOST AUTOMORPHIC//ALMOST PERIODIC
10 7300 WEYLS THEOREM//SINGLE VALUED EXTENSION PROPERTY//BROWDERS THEOREM

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