Class information for:
Level 1: CORONA THEOREM//BOUNDED ANALYTIC FUNCTIONS//TOPOLOGICAL STABLE RANK

Basic class information
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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
318 3       MATHEMATICS//STUDIA MATHEMATICA//MATH 39244
1123 2             COMPOSITION OPERATOR//TOEPLITZ OPERATOR//BERGMAN SPACE 9999
17265 1                   CORONA THEOREM//BOUNDED ANALYTIC FUNCTIONS//TOPOLOGICAL STABLE RANK 636

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 CORONA THEOREM authKW 774254 4% 63% 25
2 BOUNDED ANALYTIC FUNCTIONS authKW 645052 4% 48% 27
3 TOPOLOGICAL STABLE RANK authKW 634278 3% 80% 16
4 FAK ALLGEMEINWISSEN address 523404 2% 81% 13
5 MAXIMAL IDEAL SPACE authKW 508190 3% 49% 21
6 BASS STABLE RANK authKW 462490 2% 67% 14
7 INTERPOLATING BLASCHKE PRODUCT authKW 352378 1% 89% 8
8 CARLESON NEWMAN BLASCHKE PRODUCT authKW 346874 1% 100% 7
9 GLEASON PART authKW 315568 2% 58% 11
10 BOURGAIN ALGEBRAS authKW 297321 1% 100% 6

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 31332 94% 0% 601
2 Mathematics, Applied 1653 21% 0% 134
3 Logic 2 0% 0% 1
4 Automation & Control Systems 0 0% 0% 3
5 Multidisciplinary Sciences 0 0% 0% 2
6 Imaging Science & Photographic Technology -0 0% 0% 1
7 Physics, Mathematical -0 1% 0% 4
8 Statistics & Probability -1 0% 0% 2
9 Computer Science, Interdisciplinary Applications -1 0% 0% 2
10 Mathematics, Interdisciplinary Applications -2 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FAK ALLGEMEINWISSEN 523404 2% 81% 13
2 UMR 7122 216991 4% 16% 28
3 FAK ANGEW MATH PHYS ALLGEMEINWISSEN 89194 0% 60% 3
4 ANGEW MATH PHYS ALLGEMEINWISSEN 49553 0% 100% 1
5 ECOLE CENT LYONUMR 5208 CAMILLE JORDAN 49553 0% 100% 1
6 UMR ILE SAULCY 7502 49553 0% 100% 1
7 UNIT BMI 36428 1% 15% 5
8 LMAM 28332 5% 2% 29
9 KAFER EL SHEIKH BRANCH 24776 0% 50% 1
10 URA GEOMETRIE ANAL TOPOL 24776 0% 50% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MICHIGAN MATHEMATICAL JOURNAL 16261 3% 1% 22
2 JOURNAL OF FUNCTIONAL ANALYSIS 13105 7% 1% 42
3 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 11523 10% 0% 63
4 INTEGRAL EQUATIONS AND OPERATOR THEORY 9552 3% 1% 21
5 ARKIV FOR MATEMATIK 9415 2% 2% 12
6 COMPLEX ANALYSIS AND OPERATOR THEORY 8874 2% 2% 11
7 STUDIA MATHEMATICA 8784 4% 1% 23
8 PACIFIC JOURNAL OF MATHEMATICS 5612 4% 0% 23
9 ARCHIV DER MATHEMATIK 5108 4% 0% 23
10 MATEMATISK-FYSISKE MEDDELELSER KONGELIGE DANSKE VIDENSKABERNES SELSKAB 4831 0% 5% 2

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 CORONA THEOREM 774254 4% 63% 25 Search CORONA+THEOREM Search CORONA+THEOREM
2 BOUNDED ANALYTIC FUNCTIONS 645052 4% 48% 27 Search BOUNDED+ANALYTIC+FUNCTIONS Search BOUNDED+ANALYTIC+FUNCTIONS
3 TOPOLOGICAL STABLE RANK 634278 3% 80% 16 Search TOPOLOGICAL+STABLE+RANK Search TOPOLOGICAL+STABLE+RANK
4 MAXIMAL IDEAL SPACE 508190 3% 49% 21 Search MAXIMAL+IDEAL+SPACE Search MAXIMAL+IDEAL+SPACE
5 BASS STABLE RANK 462490 2% 67% 14 Search BASS+STABLE+RANK Search BASS+STABLE+RANK
6 INTERPOLATING BLASCHKE PRODUCT 352378 1% 89% 8 Search INTERPOLATING+BLASCHKE+PRODUCT Search INTERPOLATING+BLASCHKE+PRODUCT
7 CARLESON NEWMAN BLASCHKE PRODUCT 346874 1% 100% 7 Search CARLESON+NEWMAN+BLASCHKE+PRODUCT Search CARLESON+NEWMAN+BLASCHKE+PRODUCT
8 GLEASON PART 315568 2% 58% 11 Search GLEASON+PART Search GLEASON+PART
9 BOURGAIN ALGEBRAS 297321 1% 100% 6 Search BOURGAIN+ALGEBRAS Search BOURGAIN+ALGEBRAS
10 DOUGLAS ALGEBRAS 288307 1% 73% 8 Search DOUGLAS+ALGEBRAS Search DOUGLAS+ALGEBRAS

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.

Classes with closest relation at Level 1


rank cluster_id2 link
1 24877 COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE
2 16643 TOEPLITZ OPERATOR//BERGMAN SPACE//BEREZIN TRANSFORM
3 26220 NONLINEAR RIEMANN HILBERT PROBLEMS//ANALYTIC MULTIFUNCTIONS//EXTREMAL PROBLEMS IN HARDY SPACES
4 37375 SWISS CHEESES//LIPSCHITZ ALGEBRAS//RECTIFIABLY CONNECTED
5 1249 COMPOSITION OPERATOR//BLOCH SPACE//WEIGHTED COMPOSITION OPERATOR
6 4915 INVARIANT SUBSPACE//MULTIVARIABLE OPERATOR THEORY//M ISOMETRY
7 23823 MIKUSINSKI OPERATORS//ARENS MICHAEL REPRESENTATION//WEAK STAR CONTINUITY
8 32238 BOUNDARY BEHAVIOR OF HOLOMORPHIC FUNCTIONS//MAXIMUM MODULUS SET//RADON INVERSION PROBLEM
9 19884 INTERPOLATING VARIETY//KORENBLUMS MAXIMUM PRINCIPLE//WEAKLY SUFFICIENT SET
10 5969 C ALGEBRA//SIMPLE C ALGEBRAS//CUNTZ SEMIGROUP

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