Class information for:
Level 1: PRESERVERS//LINEAR PRESERVER//ADDITIVE PRESERVER

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
8827 1213 14.6 45%


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
2881 2             PRIME RING//DERIVATION//GENERALIZED DERIVATION 2849
8827 1                   PRESERVERS//LINEAR PRESERVER//ADDITIVE PRESERVER 1213

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 PRESERVERS authKW 1160845 5% 82% 56
2 LINEAR PRESERVER authKW 932955 6% 52% 71
3 ADDITIVE PRESERVER authKW 705648 2% 97% 29
4 GEOMETRY OF MATRICES authKW 604123 2% 100% 24
5 PRESERVER PROBLEMS authKW 363727 1% 85% 17
6 LINEAR PRESERVER PROBLEM authKW 359586 2% 71% 20
7 STANDARD OPERATOR ALGEBRA authKW 334457 2% 47% 28
8 NONLINEAR PRESERVERS authKW 333153 1% 88% 15
9 ALGEBRAIC REFLEXIVITY authKW 328910 1% 93% 14
10 PERIPHERAL SPECTRUM authKW 313668 1% 69% 18

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 58342 93% 0% 1130
2 Mathematics, Applied 16730 47% 0% 565
3 Physics, Mathematical 119 3% 0% 42
4 Physics, Multidisciplinary 1 2% 0% 27
5 Statistics & Probability -0 0% 0% 6
6 Multidisciplinary Sciences -1 0% 0% 2
7 Construction & Building Technology -2 0% 0% 1
8 Automation & Control Systems -3 0% 0% 1
9 Computer Science, Theory & Methods -4 0% 0% 3
10 Water Resources -7 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 MTA DE LENDULET FUNCT ANAL GRP 277499 2% 53% 21
2 ALGEBRA ANAL MATEMAT 58168 1% 14% 17
3 MATH VERSAILLES 45722 1% 11% 17
4 WERPUNKT GD 33561 0% 67% 2
5 EPF 27353 0% 22% 5
6 LINEAR ALGEBRA COMBINATOR 25172 0% 100% 1
7 MATH SCI MMAI01 25172 0% 100% 1
8 MATH SOFTWARE DEV 25172 0% 100% 1
9 MTA DE LENDILLET FUNCT ANAL GRP 25172 0% 100% 1
10 PL MATH STAT RO 25172 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 LINEAR ALGEBRA AND ITS APPLICATIONS 201527 25% 3% 303
2 LINEAR & MULTILINEAR ALGEBRA 125344 7% 6% 81
3 OPERATORS AND MATRICES 35926 2% 5% 26
4 STUDIA MATHEMATICA 18957 4% 2% 47
5 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 9773 7% 0% 81
6 ELECTRONIC JOURNAL OF LINEAR ALGEBRA 9404 1% 2% 16
7 TWO-YEAR COLLEGE MATHEMATICS JOURNAL 8389 0% 33% 1
8 BANACH JOURNAL OF MATHEMATICAL ANALYSIS 5584 1% 2% 9
9 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 5291 6% 0% 67
10 ACTA MATHEMATICA SINICA-ENGLISH SERIES 5031 2% 1% 23

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 PRESERVERS 1160845 5% 82% 56 Search PRESERVERS Search PRESERVERS
2 LINEAR PRESERVER 932955 6% 52% 71 Search LINEAR+PRESERVER Search LINEAR+PRESERVER
3 ADDITIVE PRESERVER 705648 2% 97% 29 Search ADDITIVE+PRESERVER Search ADDITIVE+PRESERVER
4 GEOMETRY OF MATRICES 604123 2% 100% 24 Search GEOMETRY+OF+MATRICES Search GEOMETRY+OF+MATRICES
5 PRESERVER PROBLEMS 363727 1% 85% 17 Search PRESERVER+PROBLEMS Search PRESERVER+PROBLEMS
6 LINEAR PRESERVER PROBLEM 359586 2% 71% 20 Search LINEAR+PRESERVER+PROBLEM Search LINEAR+PRESERVER+PROBLEM
7 STANDARD OPERATOR ALGEBRA 334457 2% 47% 28 Search STANDARD+OPERATOR+ALGEBRA Search STANDARD+OPERATOR+ALGEBRA
8 NONLINEAR PRESERVERS 333153 1% 88% 15 Search NONLINEAR+PRESERVERS Search NONLINEAR+PRESERVERS
9 ALGEBRAIC REFLEXIVITY 328910 1% 93% 14 Search ALGEBRAIC+REFLEXIVITY Search ALGEBRAIC+REFLEXIVITY
10 PERIPHERAL SPECTRUM 313668 1% 69% 18 Search PERIPHERAL+SPECTRUM Search PERIPHERAL+SPECTRUM

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 MOLNAR, L , (2007) SELECTED PRESERVER PROBLEMS ON ALGEBRAIC STRUCTURES OF LINEAR OPERATORS AND ON FUNCTION SPACES - INTRODUCTION.SELECTED PRESERVER PROBLEMS ON ALGEBRAIC STRUCTURES OF LINEAR OPERATORS AND ON FUNCTION SPACES. VOL. 1895. ISSUE . P. 1 -+ 133 70% 0
2 BOURHIM, A , MABROUK, M , (2015) MAPS PRESERVING THE LOCAL SPECTRUM OF JORDAN PRODUCT OF MATRICES.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 484. ISSUE . P. 379 -395 42 95% 0
3 BOURHIM, A , MABROUK, M , (2016) JORDAN PRODUCT AND LOCAL SPECTRUM PRESERVERS.STUDIA MATHEMATICA. VOL. 234. ISSUE 2. P. 97 -120 33 97% 0
4 MASHREGHI, J , STEPANYAN, A , (2016) NONLINEAR MAPS PRESERVING THE REDUCED MINIMUM MODULUS OF OPERATORS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 493. ISSUE . P. 426 -432 28 100% 1
5 BOURHIM, A , MASHREGHI, J , STEPANYAN, A , (2014) NONLINEAR MAPS PRESERVING THE MINIMUM AND SURJECTIVITY MODULI.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 463. ISSUE . P. 171 -189 29 97% 2
6 JAFARIAN, AA , (2009) A SURVEY OF INVERTIBILITY AND SPECTRUM PRESERVING LINEAR MAPS.BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY. VOL. 35. ISSUE 2. P. 1-10 31 97% 2
7 CUKA, J , ILISEVIC, D , (2016) GENERALIZED TRICIRCULAR PROJECTIONS ON MINIMAL NORM IDEALS IN B(H).JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 434. ISSUE 2. P. 1813 -1825 23 96% 0
8 BOURHIM, A , JARI, T , MASHREGHI, J , (2016) PERIPHERAL LOCAL SPECTRUM PRESERVERS AND MAPS INCREASING THE LOCAL SPECTRAL RADIUS.OPERATORS AND MATRICES. VOL. 10. ISSUE 1. P. 189 -208 22 100% 0
9 ALAMINOS, J , EXTREMERA, J , VILLENA, AR , (2016) SPECTRAL PRESERVERS AND APPROXIMATE SPECTRAL PRESERVERS ON OPERATOR ALGEBRAS.LINEAR ALGEBRA AND ITS APPLICATIONS. VOL. 496. ISSUE . P. 36 -70 23 92% 0
10 ZHANG, W , HOU, JC , QI, XF , (2015) MAPS PRESERVING PERIPHERAL SPECTRUM OF GENERALIZED JORDAN PRODUCTS OF OPERATORS.ACTA MATHEMATICA SINICA-ENGLISH SERIES. VOL. 31. ISSUE 6. P. 953 -972 20 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 6348 PRIME RING//DERIVATION//GENERALIZED DERIVATION
2 18116 BANACH STONE THEOREM//DISJOINTNESS PRESERVING OPERATOR//F ALGEBRA
3 25949 ISOMETRIC EXTENSION//MAZUR ULAM THEOREM//EPSILON ISOMETRY
4 26148 ORTHOGONALITY PRESERVING MAPPINGS//DUNKL WILLIAMS INEQUALITY//APPROXIMATE ORTHOGONALITY
5 14511 SEMICROSSED PRODUCT//SEPARATING VECTOR//NEST ALGEBRA
6 26153 G MAJORIZATION//GROUP MAJORIZATION//STRONG LINEAR PRESERVER
7 15307 JB TRIPLE//JBW TRIPLE//JB ALGEBRA
8 37397 VECTOR LATTICE OF CONTINUOUS FUNCTIONS//ADAPTED SPACE//APPROXIMATION BY POSITIVE OPERATOR
9 32373 DECOMPOSABLE TENSORS//SYMMETRY CLASSES OF TENSORS//RANK PARTITION
10 17842 NUMERICAL RANGE//HIGHER RANK NUMERICAL RANGE//POLYNOMIAL NUMERICAL HULL

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