Class information for:
Level 2: COMPOSITION OPERATOR//INTEGRAL EQUATIONS AND OPERATOR THEORY//BERGMAN SPACE

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
819 11284 16.9 36%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)


ID, lev.
above		 Publications Label for level above
308 35956 LINEAR ALGEBRA AND ITS APPLICATIONS//INTEGRAL EQUATIONS AND OPERATOR THEORY//SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS

Classes in level below (level 1)


ID, lev. below Publications Label for level below
1382 2594 COMPOSITION OPERATOR//BLOCH TYPE SPACE//BLOCH SPACE
7431 1288 WEYLS THEOREM//SINGLE VALUED EXTENSION PROPERTY//BROWDERS THEOREM
7621 1267 MULTIVARIABLE OPERATOR THEORY//ROW CONTRACTION//M ISOMETRY
10928 955 HYPERCYCLIC OPERATORS//LINEABILITY//SPACEABILITY
11446 914 BRANCH HYDROACOUST//GENERALIZED SCHUR FUNCTIONS//CANONICAL SYSTEMS
13945 739 POSITIVSTELLENSATZ//POSITIVE POLYNOMIALS//MOMENT MATRIX EXTENSION
16499 585 FAK ALLGEMEINWISSEN//TOPOLOGICAL STABLE RANK//BOUNDED ANALYTIC FUNCTIONS
16865 567 TOEPLITZ OPERATOR//BERGMAN SPACE//BEREZIN SYMBOL
17397 538 TRIANGULARIZABILITY//SKEW LATTICE//EXTENDED EIGENVALUE
18126 502 POLYNOMIALLY BOUNDED OPERATORS//DUAL OPERATOR ALGEBRAS//SPHERICAL ISOMETRY
20531 395 LEBESGUE TYPE DECOMPOSITION//WEIGHTED SHIFT ON A DIRECTED TREE//ALMOST DOMINATED PART
20770 386 COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATORS//COMPLEX SYMMETRIC OPERATORS
26438 209 DISCRETE BILINEAR SYSTEMS//ENTIRE MATRIX FUNCTION//INERTIA THEOREMS
28002 177 K HYPONORMAL//SUBNORMAL PAIRS//HYPONORMAL
28480 168 KORENBLUMS MAXIMUM PRINCIPLE//SEQUENCE OF ZEROS//COMPLEX MUNTZ THEOREM

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 COMPOSITION OPERATOR Author keyword 513 80% 3% 315
2 INTEGRAL EQUATIONS AND OPERATOR THEORY Journal 447 40% 8% 863
3 BERGMAN SPACE Author keyword 351 80% 2% 220
4 BLOCH TYPE SPACE Author keyword 329 100% 1% 76
5 BLOCH SPACE Author keyword 294 89% 1% 132
6 HYPERCYCLIC OPERATORS Author keyword 288 98% 1% 78
7 WEIGHTED COMPOSITION OPERATOR Author keyword 265 88% 1% 127
8 ESSENTIAL NORM Author keyword 247 91% 1% 105
9 TOEPLITZ OPERATOR Author keyword 233 68% 2% 206
10 WEYLS THEOREM Author keyword 215 94% 1% 77

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 COMPOSITION OPERATOR 513 80% 3% 315 Search COMPOSITION+OPERATOR Search COMPOSITION+OPERATOR
2 BERGMAN SPACE 351 80% 2% 220 Search BERGMAN+SPACE Search BERGMAN+SPACE
3 BLOCH TYPE SPACE 329 100% 1% 76 Search BLOCH+TYPE+SPACE Search BLOCH+TYPE+SPACE
4 BLOCH SPACE 294 89% 1% 132 Search BLOCH+SPACE Search BLOCH+SPACE
5 HYPERCYCLIC OPERATORS 288 98% 1% 78 Search HYPERCYCLIC+OPERATORS Search HYPERCYCLIC+OPERATORS
6 WEIGHTED COMPOSITION OPERATOR 265 88% 1% 127 Search WEIGHTED+COMPOSITION+OPERATOR Search WEIGHTED+COMPOSITION+OPERATOR
7 ESSENTIAL NORM 247 91% 1% 105 Search ESSENTIAL+NORM Search ESSENTIAL+NORM
8 TOEPLITZ OPERATOR 233 68% 2% 206 Search TOEPLITZ+OPERATOR Search TOEPLITZ+OPERATOR
9 WEYLS THEOREM 215 94% 1% 77 Search WEYLS+THEOREM Search WEYLS+THEOREM
10 WEIGHTED BERGMAN SPACE 203 91% 1% 86 Search WEIGHTED+BERGMAN+SPACE Search WEIGHTED+BERGMAN+SPACE

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 BERGMAN SPACES 726 89% 3% 325
2 BLOCH TYPE SPACES 552 99% 1% 116
3 WEIGHTED COMPOSITION OPERATORS 313 97% 1% 91
4 EXTENDED CESARO OPERATORS 313 100% 1% 73
5 POLYDISK 311 87% 1% 151
6 MIXED NORM SPACES 288 98% 1% 78
7 UNIT BALL 282 66% 2% 263
8 COMPACT COMPOSITION OPERATORS 280 88% 1% 132
9 HYPERCYCLIC OPERATORS 276 96% 1% 88
10 BERGMAN SPACE 265 95% 1% 90

Journals


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 INTEGRAL EQUATIONS AND OPERATOR THEORY 447 40% 8% 863
2 JOURNAL OF OPERATOR THEORY 141 31% 3% 377
3 COMPLEX ANALYSIS AND OPERATOR THEORY 68 33% 1% 167
4 STUDIA MATHEMATICA 37 11% 3% 316
5 OPERATORS AND MATRICES 21 23% 1% 82
6 MICHIGAN MATHEMATICAL JOURNAL 16 10% 1% 144
7 ACTA SCIENTIARUM MATHEMATICARUM 11 18% 0% 56
8 JOURNAL OF FUNCTION SPACES AND APPLICATIONS 6 12% 0% 45
9 PROCEEDINGS OF THE ROYAL IRISH ACADEMY SECTION A-MATHEMATICAL AND PHYSICAL SCIENCES 4 16% 0% 24
10 ANNALS OF FUNCTIONAL ANALYSIS 4 14% 0% 27

Reviews


Title Publ. year Cit. Active
references		 % act. ref.
to same field
Universal families and hypercyclic operators 1999 304 67 87%
Chaos for backward shift operators 2002 29 24 92%
Polynomial sum of squares in fluid dynamics: a review with a look ahead 2014 2 17 35%
On matrix-valued Herglotz functions 2000 59 56 30%
A review of some recent work on hypercyclicity 2014 0 74 80%
The Schur-Potapov Algorithm for Sequences of Complex p x q Matrices. II 2007 0 63 86%
Positive definite functions on infinite-dimensional convex cones 2003 0 32 69%
Exploiting special structure in semidefinite programming: A survey of theory and applications 2010 10 26 12%
TRIANGULAR OPERATORS 1991 8 40 75%
On several aspects of J-inner functions in Schur analysis 1998 0 25 84%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 ANAL MATEMAT 30 11% 2.3% 259
2 FAK ALLGEMEINWISSEN 26 87% 0.1% 13
3 BRANCH HYDROACOUST 23 86% 0.1% 12
4 ISPARTA VOCAT 23 86% 0.1% 12
5 FAK NARAVOSLOVJE MATEMAT 19 76% 0.1% 13
6 IUMPA 18 39% 0.3% 37
7 KATEDRA ZASTOSOWAN MATEMAT 17 100% 0.1% 8
8 ST PETERSBURG BRANCH POMI 17 100% 0.1% 8
9 UMR 5467 13 43% 0.2% 23
10 UMR 8524 11 15% 0.6% 66

Related classes at same level (level 2)


Rank Relatedness score Related classes
1 0.0000010721 NUMERICAL RANGE//POLYNOMIAL NUMERICAL HULL//HIGHER RANK NUMERICAL RANGE
2 0.0000009745 STARLIKE FUNCTIONS//STARLIKE//HADAMARD PRODUCT OR CONVOLUTION
3 0.0000009296 JOURNAL OF OPERATOR THEORY//C ALGEBRAS//C ALGEBRA
4 0.0000007390 ANAL MATEMAT//JAMES CONSTANT//STUDIA MATHEMATICA
5 0.0000006380 PRIME RING//PRIME RINGS//DIFFERENTIAL IDENTITY
6 0.0000006291 COMPLEX MONGE AMPERE OPERATOR//JACOBIAN CONJECTURE//PLURISUBHARMONIC FUNCTION
7 0.0000006060 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//CARNOT GROUPS//DOUBLING MEASURE
8 0.0000005737 INVERSE NODAL PROBLEM//STURM LIOUVILLE PROBLEMS//EIGENPARAMETER DEPENDENT BOUNDARY CONDITIONS
9 0.0000005400 EXPONENTIAL DICHOTOMY//ALMOST AUTOMORPHIC//PIECEWISE CONSTANT ARGUMENT
10 0.0000005368 CARLEMAN SHIFT//DINI SMOOTH CURVE//FREDHOLMNESS