Class information for:
Level 1: COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21578 413 16.4 31%


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
21578 1                   COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE 413

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 COMPLEX SYMMETRIC OPERATOR authKW 3287343 12% 91% 49
2 TRUNCATED TOEPLITZ OPERATOR authKW 1192800 5% 73% 22
3 MODEL SPACE authKW 570332 4% 43% 18
4 STAR INVARIANT SUBSPACES authKW 443608 1% 100% 6
5 UECSM authKW 295738 1% 100% 4
6 SKEW SYMMETRIC OPERATOR authKW 278670 2% 54% 7
7 COMPLEX SYMMETRIC MATRIX authKW 260368 2% 39% 9
8 NEARLY INVARIANT SUBSPACE authKW 221804 1% 100% 3
9 EQUIPE ANAL GEOMETRIE address 197156 1% 67% 4
10 UNITARY EQUIVALENCE authKW 172023 3% 21% 11

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 21067 96% 0% 396
2 Mathematics, Applied 1947 28% 0% 115
3 Physics, Mathematical 3 1% 0% 6
4 Imaging Science & Photographic Technology 0 0% 0% 1
5 Multidisciplinary Sciences -0 0% 0% 1
6 Engineering, Biomedical -1 0% 0% 1
7 Computer Science, Interdisciplinary Applications -1 0% 0% 1
8 Mechanics -3 0% 0% 1
9 Physics, Multidisciplinary -3 1% 0% 3
10 Radiology, Nuclear Medicine & Medical Imaging -4 0% 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 EQUIPE ANAL GEOMETRIE 197156 1% 67% 4
2 ST PETERSBURG BRANCH POMI 147865 1% 50% 4
3 ALIKHANIAN PHYS 73935 0% 100% 1
4 CAMILLE JORDANCNRSUMR5208 73935 0% 100% 1
5 CHEBYSEV 73935 0% 100% 1
6 COMPURAL BRANCH 73935 0% 100% 1
7 ECOLE CENT LYON CAMILLE JORDANUMR5208 73935 0% 100% 1
8 MATH BORDEUX 73935 0% 100% 1
9 MATH PU BORDEAUX MPB 73935 0% 100% 1
10 ST PETERSBURG BRANCH POMT 73935 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 OPERATORS AND MATRICES 56391 5% 4% 19
2 INTEGRAL EQUATIONS AND OPERATOR THEORY 25926 7% 1% 28
3 COMPLEX ANALYSIS AND OPERATOR THEORY 9784 2% 1% 9
4 PUBLICACIONS MATEMATIQUES 8779 2% 2% 7
5 JOURNAL OF OPERATOR THEORY 8313 3% 1% 12
6 ST PETERSBURG MATHEMATICAL JOURNAL 6341 1% 1% 6
7 JOURNAL OF FUNCTIONAL ANALYSIS 5490 5% 0% 22
8 HOUSTON JOURNAL OF MATHEMATICS 5461 3% 1% 12
9 INDIANA UNIVERSITY MATHEMATICS JOURNAL 5233 3% 1% 13
10 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 4528 9% 0% 36

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 COMPLEX SYMMETRIC OPERATOR 3287343 12% 91% 49 Search COMPLEX+SYMMETRIC+OPERATOR Search COMPLEX+SYMMETRIC+OPERATOR
2 TRUNCATED TOEPLITZ OPERATOR 1192800 5% 73% 22 Search TRUNCATED+TOEPLITZ+OPERATOR Search TRUNCATED+TOEPLITZ+OPERATOR
3 MODEL SPACE 570332 4% 43% 18 Search MODEL+SPACE Search MODEL+SPACE
4 STAR INVARIANT SUBSPACES 443608 1% 100% 6 Search STAR+INVARIANT+SUBSPACES Search STAR+INVARIANT+SUBSPACES
5 UECSM 295738 1% 100% 4 Search UECSM Search UECSM
6 SKEW SYMMETRIC OPERATOR 278670 2% 54% 7 Search SKEW+SYMMETRIC+OPERATOR Search SKEW+SYMMETRIC+OPERATOR
7 COMPLEX SYMMETRIC MATRIX 260368 2% 39% 9 Search COMPLEX+SYMMETRIC+MATRIX Search COMPLEX+SYMMETRIC+MATRIX
8 NEARLY INVARIANT SUBSPACE 221804 1% 100% 3 Search NEARLY+INVARIANT+SUBSPACE Search NEARLY+INVARIANT+SUBSPACE
9 UNITARY EQUIVALENCE 172023 3% 21% 11 Search UNITARY+EQUIVALENCE Search UNITARY+EQUIVALENCE
10 DE BRANGES SPACES 168018 2% 23% 10 Search DE+BRANGES+SPACES Search DE+BRANGES+SPACES

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 ZHU, S , (2016) APPROXIMATION OF COMPLEX SYMMETRIC OPERATORS.MATHEMATISCHE ANNALEN. VOL. 364. ISSUE 1-2. P. 373 -399 22 81% 0
2 ZHU, S , (2016) ON THE STRUCTURE OF SKEW SYMMETRIC OPERATORS.OPERATORS AND MATRICES. VOL. 10. ISSUE 3. P. 631 -641 17 100% 0
3 GARCIA, SR , POORE, DE , ROSS, WT , (2012) UNITARY EQUIVALENCE TO A TRUNCATED TOEPLITZ OPERATOR: ANALYTIC SYMBOLS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 140. ISSUE 4. P. 1281-1295 17 100% 3
4 GARCIA, SR , POORE, DE , (2013) ON THE CLOSURE OF THE COMPLEX SYMMETRIC OPERATORS: COMPACT OPERATORS AND WEIGHTED SHIFTS.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 264. ISSUE 3. P. 691-712 20 77% 9
5 GARCIA, SR , POORE, DE , TENER, JE , (2012) UNITARY EQUIVALENCE TO A COMPLEX SYMMETRIC MATRIX: LOW DIMENSIONS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 437. ISSUE 1. P. 271-284 16 100% 2
6 GUO, KY , JI, YQ , ZHU, S , (2015) A C*-ALGEBRA APPROACH TO COMPLEX SYMMETRIC OPERATORS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 367. ISSUE 10. P. 6903 -6942 21 70% 0
7 ZHU, S , (2015) ON SKEW SYMMETRIC OPERATORS WITH EIGENVALUES.JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY. VOL. 52. ISSUE 6. P. 1271 -1286 15 94% 0
8 LI, CG , ZHOU, TT , (2014) SKEW SYMMETRY OF A CLASS OF OPERATORS.BANACH JOURNAL OF MATHEMATICAL ANALYSIS. VOL. 8. ISSUE 1. P. 279 -294 16 84% 7
9 GARCIA, SR , PRODAN, E , PUTINAR, M , (2014) MATHEMATICAL AND PHYSICAL ASPECTS OF COMPLEX SYMMETRIC OPERATORS.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 47. ISSUE 35. P. - 35 39% 5
10 GARCIA, SR , POORE, DE , WYSE, MK , (2011) UNITARY EQUIVALENCE TO A COMPLEX SYMMETRIC MATRIX: A MODULUS CRITERION.OPERATORS AND MATRICES. VOL. 5. ISSUE 2. P. 273 -287 15 100% 5

Classes with closest relation at Level 1


Rank Class id link
1 35452 PARTIAL AUTOCORRELATION FUNCTIONS//RIGID FUNCTIONS//BAXTERS CONDITION
2 37021 SKEW CIRCULANT//HANKEL CIRCULANT//BACKWARD IDENTITY
3 17665 CORONA THEOREM//BOUNDED ANALYTIC FUNCTIONS//FAK ALLGEMEINWISSEN
4 1527 COMPOSITION OPERATOR//WEIGHTED COMPOSITION OPERATOR//BLOCH SPACE
5 33103 COMPLEX MUNTZ THEOREM//NONUNIQUENESS SEQUENCE//JENSEN MEASURE
6 4303 ROW CONTRACTION//INVARIANT SUBSPACE//M ISOMETRY
7 36121 BOUNDARY BEHAVIOR OF HOLOMORPHIC FUNCTIONS//RADON INVERSION PROBLEM//WEAK RESOLVENT
8 21484 SELF AFFINE MEASURE//SPECTRAL PAIRS//ORTHOGONAL EXPONENTIALS
9 15889 GENERALIZED SCHUR FUNCTIONS//INTEGRAL EQUATIONS AND OPERATOR THEORY//WEYL MATRIX BALLS
10 30061 2 VARIABLE WEIGHTED SHIFTS//HYPONORMAL//SUBNORMAL PAIRS

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