Ukrainian Mathematical Journal

, Volume 29, Issue 5, pp 521–524 | Cite as

M-bases in separable and reflexive Banach spaces

  • A. N. Plichko
Brief Communications


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Literature cited

  1. 1.
    S. Banach, A Course in Functional Analysis [Ukrainian translation], Radyans'ka Shkola, Kiev (1948).Google Scholar
  2. 2.
    A. N. Plichko, “Existence of a complete ɛ-orthonormal system in a separable normed space,” Dokl. Akad. Nauk SSSR, Ser. A, No. 1, 22–23 (1976).Google Scholar
  3. 3.
    W. Davis and W. B. Jonson, “On the existence of fundamental and total bounded biorthogonal systems in Banach spaces,” Stud. Math.,45, No. 2, 173–179 (1973).Google Scholar
  4. 4.
    I. Singer, “On biorthogonal systems and total sequences of functionals,” Math. Ann.,193, No. 3, 183–186 (1971).Google Scholar
  5. 5.
    D. Amir and J. Lindenstrauss, “The structure of weakly compact sets in Banach spaces,” Ann. Math.,88, No. 1, 35–46 (1968).Google Scholar

Copyright information

© Plenum Publishing Corporation 1978

Authors and Affiliations

  • A. N. Plichko
    • 1
  1. 1.Kiev State UniversityUSSR

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