Class information for:
Level 1: ISOMETRIC EXTENSION//MAZUR ULAM THEOREM//EPSILON ISOMETRY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
25949 267 14.4 37%


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
1493 2             MATHEMATICS//ANAL MATEMAT//VECTOR MEASURE 7619
25949 1                   ISOMETRIC EXTENSION//MAZUR ULAM THEOREM//EPSILON ISOMETRY 267

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 ISOMETRIC EXTENSION authKW 3953360 15% 89% 39
2 MAZUR ULAM THEOREM authKW 1759443 7% 77% 20
3 EPSILON ISOMETRY authKW 1318549 5% 82% 14
4 ISOMETRIC MAPPING authKW 1172949 7% 51% 20
5 ALEKSANDROV PROBLEM authKW 1143644 4% 100% 10
6 TINGLEYS PROBLEM authKW 1143644 4% 100% 10
7 N ISOMETRY authKW 842135 3% 82% 9
8 2 ISOMETRY authKW 731929 3% 80% 8
9 ISOMETRY authKW 536623 16% 11% 43
10 ISOMETRIC EXTENSION PROBLEM authKW 457458 1% 100% 4

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 14165 98% 0% 261
2 Mathematics, Applied 3246 44% 0% 117
3 Biodiversity Conservation 0 0% 0% 1
4 Multidisciplinary Sciences 0 0% 0% 1
5 Engineering, Industrial 0 0% 0% 1
6 Engineering, Manufacturing 0 0% 0% 1
7 Operations Research & Management Science -0 0% 0% 1
8 Mathematics, Interdisciplinary Applications -0 0% 0% 1
9 Engineering, General -0 0% 0% 1
10 Statistics & Probability -0 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 MATEMAT LAITOS 128656 1% 38% 3
2 PL 4 114364 0% 100% 1
3 SHREN MATH 114364 0% 100% 1
4 MATEMATIIKAN LAITOS 57181 0% 50% 1
5 LPMC 30098 9% 1% 23
6 PL MATH SOFTWARE 27813 1% 8% 3
7 MTA DE LENDULET FUNCT ANAL GRP 25726 1% 8% 3
8 TOHO UNIV 22871 0% 20% 1
9 MATH SECT 19820 3% 2% 8
10 FUNDAMENTAL STUDIES 16457 2% 2% 6

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 ACTA MATHEMATICA SINICA-ENGLISH SERIES 11130 6% 1% 16
2 ACTA MATHEMATICA SCIENTIA 8860 5% 1% 14
3 STUDIA MATHEMATICA 7651 5% 0% 14
4 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 6655 13% 0% 35
5 QUAESTIONES MATHEMATICAE 6655 2% 1% 5
6 ISRAEL JOURNAL OF MATHEMATICS 5141 5% 0% 13
7 MATHEMATICAL COMMUNICATIONS 3201 1% 1% 3
8 BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 2778 3% 0% 9
9 SCIENCE IN CHINA SERIES A-MATHEMATICS 1684 2% 0% 6
10 ANNALS OF FUNCTIONAL ANALYSIS 1660 1% 1% 2

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 ISOMETRIC EXTENSION 3953360 15% 89% 39 Search ISOMETRIC+EXTENSION Search ISOMETRIC+EXTENSION
2 MAZUR ULAM THEOREM 1759443 7% 77% 20 Search MAZUR+ULAM+THEOREM Search MAZUR+ULAM+THEOREM
3 EPSILON ISOMETRY 1318549 5% 82% 14 Search EPSILON+ISOMETRY Search EPSILON+ISOMETRY
4 ISOMETRIC MAPPING 1172949 7% 51% 20 Search ISOMETRIC+MAPPING Search ISOMETRIC+MAPPING
5 ALEKSANDROV PROBLEM 1143644 4% 100% 10 Search ALEKSANDROV+PROBLEM Search ALEKSANDROV+PROBLEM
6 TINGLEYS PROBLEM 1143644 4% 100% 10 Search TINGLEYS+PROBLEM Search TINGLEYS+PROBLEM
7 N ISOMETRY 842135 3% 82% 9 Search N+ISOMETRY Search N+ISOMETRY
8 2 ISOMETRY 731929 3% 80% 8 Search 2+ISOMETRY Search 2+ISOMETRY
9 ISOMETRY 536623 16% 11% 43 Search ISOMETRY Search ISOMETRY
10 ISOMETRIC EXTENSION PROBLEM 457458 1% 100% 4 Search ISOMETRIC+EXTENSION+PROBLEM Search ISOMETRIC+EXTENSION+PROBLEM

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 DING, GG , LI, JZ , (2013) SHARP CORNER POINTS AND ISOMETRIC EXTENSION PROBLEM IN BANACH SPACES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 405. ISSUE 1. P. 297-309 30 100% 5
2 DING, GG , (2015) THE ISOMETRIC EXTENSION PROBLEM BETWEEN UNIT SPHERES OF TWO SEPARABLE BANACH SPACES.ACTA MATHEMATICA SINICA-ENGLISH SERIES. VOL. 31. ISSUE 12. P. 1872 -1878 20 100% 1
3 TAN, DN , (2012) EXTENSION OF ISOMETRIES ON THE UNIT SPHERE OF SPACES.ACTA MATHEMATICA SINICA-ENGLISH SERIES. VOL. 28. ISSUE 6. P. 1197 -1208 18 100% 3
4 TAN, DN , (2011) ON EXTENSION OF ISOMETRIES ON THE UNIT SPHERES OF L-P-SPACES FOR 0 < P <= 1.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 74. ISSUE 18. P. 6981-6987 17 100% 5
5 CHENG, LX , SHEN, QR , ZHANG, W , ZHOU, Y , (2017) MORE ON STABILITY OF ALMOST SURJECTIVE EPSILON-ISOMETRIES OF BANACH SPACES.SCIENCE CHINA-MATHEMATICS. VOL. 60. ISSUE 2. P. 277 -284 15 100% 0
6 YI, JJ , WANG, RD , WANG, XX , (2014) EXTENSION OF ISOMETRIES BETWEEN THE UNIT SPHERES OF COMPLEX L(P)(GAMMA)(P > 1) SPACES.ACTA MATHEMATICA SCIENTIA. VOL. 34. ISSUE 5. P. 1540 -1550 16 100% 0
7 LIU, R , ZHANG, L , (2009) ON EXTENSION OF ISOMETRIES AND APPROXIMATE ISOMETRIES BETWEEN UNIT SPHERES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 352. ISSUE 2. P. 749-761 16 100% 11
8 TAN, DN , (2012) ISOMETRIES OF THE UNIT SPHERES OF THE TSIRELSON SPACE T AND THE MODIFIED TSIRELSON SPACE T-M.HOUSTON JOURNAL OF MATHEMATICS. VOL. 38. ISSUE 2. P. 571 -581 15 100% 2
9 DING, GG , (2011) THE ISOMETRICAL EXTENSIONS OF 1-LIPSCHITZ MAPPINGS ON GATEAUX DIFFERENTIABILITY SPACES.SCIENCE CHINA-MATHEMATICS. VOL. 54. ISSUE 4. P. 711 -722 15 100% 1
10 TAN, DN , (2012) SOME NEW PROPERTIES AND ISOMETRIES ON THE UNIT SPHERES OF GENERALIZED JAMES SPACES J(P).JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 393. ISSUE 2. P. 457 -469 16 89% 3

Classes with closest relation at Level 1


Rank Class id link
1 3707 HYERS ULAM STABILITY//HYERS ULAM RASSIAS STABILITY//GENERALIZED HYERS ULAM STABILITY
2 14870 APPROXIMATION PROPERTY//BOUNDED APPROXIMATION PROPERTY//P COMPACT OPERATOR
3 23273 NUMERICAL INDEX//DAUGAVET PROPERTY//BISHOP PHELPS BOLLOBAS THEOREM
4 26148 ORTHOGONALITY PRESERVING MAPPINGS//DUNKL WILLIAMS INEQUALITY//APPROXIMATE ORTHOGONALITY
5 8827 PRESERVERS//LINEAR PRESERVER//ADDITIVE PRESERVER
6 37397 VECTOR LATTICE OF CONTINUOUS FUNCTIONS//ADAPTED SPACE//APPROXIMATION BY POSITIVE OPERATOR
7 13976 SPARSEST CUT//LIPSCHITZ FREE SPACE//METRIC EMBEDDING
8 26728 INTEGRAT STUDIES//CONSTRUCTIVE AXIOMATIZATION//QUASIPARALLEL LINES
9 32449 DIVERGENT PERMUTATIONS//UNIVERSAL FUZZY MEASURE//ASYMPTOTIC FUZZY MEASURE
10 26153 G MAJORIZATION//GROUP MAJORIZATION//STRONG LINEAR PRESERVER

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