Some notes on Markuševič bases in weakly compactly generated Banach spaces

K. John; V. Zizler

Compositio Mathematica (1977)

  • Volume: 35, Issue: 2, page 113-123
  • ISSN: 0010-437X

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John, K., and Zizler, V.. "Some notes on Markuševič bases in weakly compactly generated Banach spaces." Compositio Mathematica 35.2 (1977): 113-123. <http://eudml.org/doc/89340>.

@article{John1977,
author = {John, K., Zizler, V.},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {113-123},
publisher = {Noordhoff International Publishing},
title = {Some notes on Markuševič bases in weakly compactly generated Banach spaces},
url = {http://eudml.org/doc/89340},
volume = {35},
year = {1977},
}

TY - JOUR
AU - John, K.
AU - Zizler, V.
TI - Some notes on Markuševič bases in weakly compactly generated Banach spaces
JO - Compositio Mathematica
PY - 1977
PB - Noordhoff International Publishing
VL - 35
IS - 2
SP - 113
EP - 123
LA - eng
UR - http://eudml.org/doc/89340
ER -

References

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  3. [3] E. Asplund: Topics in the theory of convex functions, Theory applications of monotone operators. Proceedings of a NATO Advanced Study Institute held in Venice, Italy, June 17-30, 1968. Zbl0188.35601MR271281
  4. [4] M.M. Day: Normed linear spaces. Springer, Berlin, 1958. Zbl0082.10603MR94675
  5. [5] J.A. Dyer: Generalized Markuševič bases. Israel J. Math.7 (1969) 51-59. Zbl0175.13301MR259564
  6. [6] V.I. Gurarij and M.I. Kadec: On minimal systems and quasicomplements in Banach spaces. Dokl. Acad. Nauk145 (1962) 256-258. Zbl0135.34601MR149238
  7. [7] K. John and V. Zizler: Projections in dual weakly compactly generated Banach spaces. Studia Math.49 (1973) 41-50. Zbl0247.46029MR336295
  8. [8] K. John and V. Zizler: Smoothness and its equivalents in the class of weakly compactly generated Banach spaces. J. Functional Analysis15 (1974) 1-11. Zbl0272.46012MR417759
  9. [9] K. John and V. Zizler: Some remarks on non-separable Banach spaces with Markuševič basis. Comment. Math. Univ. Carolinae15 (1974) 679-691. Zbl0291.46010MR372589
  10. [10] K. John and V. Zizler: Weak compact generating in duality. Studia Math., 55 (1976) 1-20. Zbl0325.46026MR405071
  11. [11] W.B. Johnson: Markuševič bases and duality theory. Trans. Amer. Math. Soc.149 (1970) 171-177. Zbl0194.43403MR261312
  12. [12] M.I. Kadec: O slaboj i silnoj schodimosti. Dokl. Akad. Nauk SSSR122 (1958) 13-16. Zbl0086.09204
  13. [13] V.L. Klee: Mappings into normed linear spaces. Fundamenta Math.49 (1960) 25-34. Zbl0117.08303MR126690
  14. [14] J. Lindenstrauss: Weakly compact sets—their topological properties and the Banach spaces they generate. Symposium on Infinite Dim. Topology (Edited by R. D. Anderson) Annals of Math. Studies69. Zbl0232.46019
  15. [15] V.D. Milman: The geometric theory of Banach spacesI, II. Uspechi Matem. Nauk25 (1970) 113-174;26 (1971) 74-149. Zbl0229.46017MR280985
  16. [16] J.J. Moreau: Fonctionnelles convexes. Seminaire sur les equations aux dérivées partielles. Collége de France1966-1967. MR390443
  17. [17] H.P. Rosenthal: The heridity problem for weakly compactly generated Banach spaces. Compositio Math.28 (1974) 83-111. Zbl0298.46013MR417762
  18. [18] H. Torunczyk: Smooth partitions of unity of some nonseparable Banach spaces. Studia Math.46 (1973) 43-51. Zbl0251.46022MR339255
  19. [19] S. Trojanski: On locally uniformly convex and differentiable norms in certain nonseparable Banach spaces. Studia Math.37 (1971) 173-180. Zbl0214.12701
  20. [20] S. Trojanski: On equivalent norms and minimal systems in nonseparable Banach spaces. Studia Math.43 (1972) 125-138. Zbl0255.46012MR324382

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