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Bulletin of the American Mathematical Society

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Approximation and weak-star approximation in Banach spaces


Author: David W. Dean
Journal: Bull. Amer. Math. Soc. 79 (1973), 725-728
MSC (1970): Primary 46B15, 46A20; Secondary 47A65
DOI: https://doi.org/10.1090/S0002-9904-1973-13283-5
MathSciNet review: 0326355
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  • 1. M. M. Day, Normed linear spaces, Springer-Verlag, Berlin; Academic Press, New York, 1962. MR 26 #2847.
  • 2. N. Dunford and J. T. Schwartz, Linear operators. I: General theory, Pure and Appl. Math., vol. 7, Interscience, New York, 1958. MR 22 #8302. MR 117523
  • 3. J. A. Dyer, The mean Stieltjes integral representation of a bounded linear transformation, J. Math. Anal. Appl. 8 (1964), 452-460. MR 28 #4079. MR 160870
  • 4. William B. Johnson, On the existence of strongly series summable Markuschvich bases in Banach spaces, Trans. Amer. Math. Soc. 157 (1971), 481-486. MR 43 #7914. MR 282201
  • 5. W. B. Johnson, H. P. Rosenthal and M. Zippin, On bases, finite dimensional decompositions and weaker structures in Banach spaces, Israel J. Math. 9 (1971), 488-506. MR 43 #6702. MR 280983
  • 6. J. Lindenstrauss and H. P. Rosenthal, The ℒ, Israel J. Math. 7 (1969), 325-349. MR 42 #5012. MR 270119
  • 7. H. P. Rosenthal, On injective Banach spaces and the spaces L(μ) for finite measures μ, Acta Math. 124 (1970), 205-248. MR 41 #2370. MR 257721
  • 8. I. Singer, Bases in Banach spaces. Vol. 1, Die Grundlehren der math. Wissenschaften, Band 154, Springer-Verlag, Berlin and New York, 1970. MR 298399

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DOI: https://doi.org/10.1090/S0002-9904-1973-13283-5

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