Class information for:
Level 1: INDICIAL TRIPLE//TOEPLITZ C ALGEBRA//DIAGONAL INVARIANT IDEAL

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
30501 167 15.2 24%


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
1108 2             COMPOSITION OPERATOR//TOEPLITZ OPERATOR//INTEGRAL EQUATIONS AND OPERATOR THEORY 9756
30501 1                   INDICIAL TRIPLE//TOEPLITZ C ALGEBRA//DIAGONAL INVARIANT IDEAL 167

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 INDICIAL TRIPLE authKW 548542 2% 100% 3
2 TOEPLITZ C ALGEBRA authKW 548542 2% 100% 3
3 DIAGONAL INVARIANT IDEAL authKW 365695 1% 100% 2
4 GENERALIZED FREDHOLM INDEX authKW 365695 1% 100% 2
5 HEREDITARY AND DIRECTED SET authKW 365695 1% 100% 2
6 INDUCED IDEAL authKW 365695 1% 100% 2
7 SINGLE GENERATORS authKW 365695 1% 100% 2
8 FUNCTIONAL HILBERT SPACES authKW 243795 1% 67% 2
9 ALMOST PERIODIC SCHRODINGER OPERATOR authKW 182847 1% 100% 1
10 ALPHA INVARIANT IDEAL authKW 182847 1% 100% 1

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 8505 96% 0% 160
2 Mathematics, Applied 265 17% 0% 28
3 Multidisciplinary Sciences 14 2% 0% 3
4 Education & Educational Research 1 1% 0% 2
5 Physics, Mathematical 0 1% 0% 2
6 Statistics & Probability 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 NONLINEAR SCI 1921 1% 1% 2
2 MATH 586 23% 0% 38
3 MATH INTERDISCIPLINARY SCI 537 1% 0% 1
4 SCI LETTERS 265 1% 0% 2
5 GUANGDONG HIGHER EDUC 194 1% 0% 1
6 PROBLEMS MECH 158 1% 0% 1
7 HBEREICH MATH 55 1% 0% 1
8 MATH INFORMAT SCI 21 1% 0% 1
9 MATH SCI 15 2% 0% 3
10 MATH PHYS 4 1% 0% 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 INTEGRAL EQUATIONS AND OPERATOR THEORY 32743 12% 1% 20
2 JOURNAL OF OPERATOR THEORY 20595 7% 1% 12
3 EDUCATIONAL RESEARCH QUARTERLY 12393 1% 3% 2
4 JOURNAL OF FUNCTIONAL ANALYSIS 6332 9% 0% 15
5 BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY 4561 3% 1% 5
6 CHINESE ANNALS OF MATHEMATICS SERIES B 3920 4% 0% 6
7 MATHEMATICS OF THE USSR-IZVESTIYA 3346 2% 1% 3
8 ANNALES ACADEMIAE SCIENTIARUM FENNICAE SERIES A1-MATHEMATICA 2573 1% 1% 1
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 2445 9% 0% 15
10 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 2411 7% 0% 11

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 INDICIAL TRIPLE 548542 2% 100% 3 Search INDICIAL+TRIPLE Search INDICIAL+TRIPLE
2 TOEPLITZ C ALGEBRA 548542 2% 100% 3 Search TOEPLITZ+C+ALGEBRA Search TOEPLITZ+C+ALGEBRA
3 DIAGONAL INVARIANT IDEAL 365695 1% 100% 2 Search DIAGONAL+INVARIANT+IDEAL Search DIAGONAL+INVARIANT+IDEAL
4 GENERALIZED FREDHOLM INDEX 365695 1% 100% 2 Search GENERALIZED+FREDHOLM+INDEX Search GENERALIZED+FREDHOLM+INDEX
5 HEREDITARY AND DIRECTED SET 365695 1% 100% 2 Search HEREDITARY+AND+DIRECTED+SET Search HEREDITARY+AND+DIRECTED+SET
6 INDUCED IDEAL 365695 1% 100% 2 Search INDUCED+IDEAL Search INDUCED+IDEAL
7 SINGLE GENERATORS 365695 1% 100% 2 Search SINGLE+GENERATORS Search SINGLE+GENERATORS
8 FUNCTIONAL HILBERT SPACES 243795 1% 67% 2 Search FUNCTIONAL+HILBERT+SPACES Search FUNCTIONAL+HILBERT+SPACES
9 ALMOST PERIODIC SCHRODINGER OPERATOR 182847 1% 100% 1 Search ALMOST+PERIODIC+SCHRODINGER+OPERATOR Search ALMOST+PERIODIC+SCHRODINGER+OPERATOR
10 ALPHA INVARIANT IDEAL 182847 1% 100% 1 Search ALPHA+INVARIANT+IDEAL Search ALPHA+INVARIANT+IDEAL

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 LORCH, J , XU, QX , (2003) QUASI-LATTICE ORDERED GROUPS AND TOEPLITZ ALGEBRAS.JOURNAL OF OPERATOR THEORY. VOL. 50. ISSUE 2. P. 221-247 9 90% 3
2 CURTO, RE , YAN, K , (1995) THE SPECTRAL PICTURE OF REINHARDT MEASURES.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 131. ISSUE 2. P. 279-301 11 79% 15
3 SUNDAR, S , (2017) ON THE WIENER-HOPF COMPACTIFICATION OF A SYMMETRIC CONE.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 145. ISSUE 3. P. 1141 -1151 6 75% 0
4 MIROTIN, AR , (2015) ON THE ESSENTIAL SPECTRUM OF LAMBDA-TOEPLITZ OPERATORS OVER COMPACT ABELIAN GROUPS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 424. ISSUE 2. P. 1286 -1295 5 83% 0
5 ALLDRIDGE, A , JOHANSEN, TR , (2007) SPECTRUM AND ANALYTICAL INDICES OF THE C*-ALGEBRA OF WIENER-HOPF OPERATORS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 249. ISSUE 2. P. 425-453 7 70% 3
6 MURPHY, GJ , (2010) REPRESENTATION AND INDEX THEORY FOR TOEPLITZ OPERATORS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 362. ISSUE 8. P. 3911-3946 5 83% 0
7 XIE, PZ , CAO, GF , (2011) TOEPLITZ OPERATORS ON H (2)(IA"E).SCIENCE CHINA-MATHEMATICS. VOL. 54. ISSUE 9. P. 1995 -2004 4 100% 0
8 SOHRAB, HH , (1997) CORDES ALGEBRAS BASED ON SCHRODINGER OPERATORS WITH RAPIDLY INCREASING POTENTIALS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 207. ISSUE 2. P. 549-561 6 100% 0
9 XU, QX , (2002) DIAGONAL INVARIANT IDEALS OF TOEPLITZ ALGEBRAS ON DISCRETE GROUPS.SCIENCE IN CHINA SERIES A-MATHEMATICS. VOL. 45. ISSUE 4. P. 462 -469 5 100% 0
10 BADI, AB , (2010) NON-VANISHING FUNCTIONS AND TOEPLITZ OPERATORS ON TUBE-TYPE DOMAINS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 258. ISSUE 11. P. 3841-3854 4 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 30061 2 VARIABLE WEIGHTED SHIFTS//HYPONORMAL//SUBNORMAL PAIRS
2 8105 LEAVITT PATH ALGEBRA//GRAPH ALGEBRA//PARTIAL ACTION
3 10155 ASYMPTOTIC DIMENSION//COARSE GEOMETRY//BAUM CONNES CONJECTURE
4 6045 C ALGEBRA//SIMPLE C ALGEBRAS//CUNTZ SEMIGROUP
5 18521 BRANCHING LAW//VISIBLE ACTION//MULTIPLICITY FREE REPRESENTATION
6 14828 TOEPLITZ OPERATOR//BEREZIN TRANSFORM//BERGMAN SPACE
7 4303 ROW CONTRACTION//INVARIANT SUBSPACE//M ISOMETRY
8 10367 COMPACT QUANTUM GROUP//LOCALLY COMPACT QUANTUM GROUP//QUANTUM GROUPS
9 26148 ORTHOGONALITY PRESERVING MAPPINGS//DUNKL WILLIAMS INEQUALITY//APPROXIMATE ORTHOGONALITY
10 18495 WIENER HOPF TECHNIQUE//WIENER HOPF OPERATOR//FACTORIZATION OF MATRIX FUNCTIONS

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