Some open problems on best approximation in normed linear spaces

Ivan Singer

Séminaire Choquet. Initiation à l'analyse (1966-1967)

  • Volume: 6, Issue: 2, page 1-8

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Singer, Ivan. "Some open problems on best approximation in normed linear spaces." Séminaire Choquet. Initiation à l'analyse 6.2 (1966-1967): 1-8. <http://eudml.org/doc/110401>.

@article{Singer1966-1967,
author = {Singer, Ivan},
journal = {Séminaire Choquet. Initiation à l'analyse},
keywords = {functional analysis},
language = {eng},
number = {2},
pages = {1-8},
publisher = {Secrétariat mathématique},
title = {Some open problems on best approximation in normed linear spaces},
url = {http://eudml.org/doc/110401},
volume = {6},
year = {1966-1967},
}

TY - JOUR
AU - Singer, Ivan
TI - Some open problems on best approximation in normed linear spaces
JO - Séminaire Choquet. Initiation à l'analyse
PY - 1966-1967
PB - Secrétariat mathématique
VL - 6
IS - 2
SP - 1
EP - 8
LA - eng
KW - functional analysis
UR - http://eudml.org/doc/110401
ER -

References

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  2. [2] Brøndsted ( Arne). - Convex sets and Chebyshev sets, I, Math. Scand., København, t. 17, 1965, p. 5-16. Zbl0151.17503MR196457
  3. [3] Brøndsted ( Arne). - Convex sets and Chebyshev sets, II, Math. Scand., København, t. 18, 1966, p. 5-15. Zbl0151.17504MR200694
  4. [4] Curtis ( Philip C., Jr). - n-parameter families and best approximation, Pacific J. of Math., t. 9, 1959, p. 1013-1027. Zbl0093.06601MR108670
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  6. [6] Efimov ( N.V.) and Stečkin ( S.B.). - Approximate compactness and Čebyšev sets [in Russian], Doklady Akad. Nauk SSSR, t. 140, 1961, p. 522-524. Zbl0103.08101MR136964
  7. [7] Ewald ( Günter). - Über die Schattengrengen konvexer Körper, Abh. math. Semin. Hamburg, t. 27, 1964, p. 167-170. Zbl0123.39002MR167894
  8. [8] Garkavi ( A.L.). - On best approximation by the elements of infinite-dimensional subspaces of a certain class [in Russian], Mat. Sbornik, N. S., t. 62, 1963, p. 104-120. Zbl0123.09104MR156144
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  10. [10] Garkavi ( A.L.). - On Čebyšev and almost Čebyšev subspaces [in Russian], Izv. Akad. Nauk SSSR, t. 28, 1964, p. 799-818. Zbl0139.07002MR165351
  11. [11] James ( R.C.). - Reflexivity and supremum of linear functionals, Annals of Math., Series 2, t. 66, 1957, p. 159-169. Zbl0079.12704MR90019
  12. [12] James ( R.C. ) . - Characterizations of reflexivity, Studia Math., Warszawa, t. 23, 1963, p. 205-216. Zbl0113.09303MR170192
  13. [13] Klee ( Victor L.). - Convex sets, Bull. Amer. math. Soc., t. 63, 1957, p. 419. 
  14. [14] Klee ( Victor L.). - Convexity of Chebyshev sets, Math. Annalen, t. 142, 1961, p. 292-304. Zbl0091.27701MR121633
  15. [15] McMinn ( Trevor J.). - On the line segments of a convex surface in E3 , Pacific J. of Math., t. 10, 1960, p. 943-946. Zbl0095.37003MR114160
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