On bibasic systems and a Retherford’s problem

Anatoli Pličko; Paolo Terenzi

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni (1984)

  • Volume: 77, Issue: 1-2, page 28-34
  • ISSN: 1120-6330

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Pličko, Anatoli, and Terenzi, Paolo. "On bibasic systems and a Retherford’s problem." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 77.1-2 (1984): 28-34. <http://eudml.org/doc/287281>.

@article{Pličko1984,
author = {Pličko, Anatoli, Terenzi, Paolo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {Retherford's problem; bibasic system; uniformly minimal sequence; biorthogonal bounded system},
language = {eng},
month = {7},
number = {1-2},
pages = {28-34},
publisher = {Accademia Nazionale dei Lincei},
title = {On bibasic systems and a Retherford’s problem},
url = {http://eudml.org/doc/287281},
volume = {77},
year = {1984},
}

TY - JOUR
AU - Pličko, Anatoli
AU - Terenzi, Paolo
TI - On bibasic systems and a Retherford’s problem
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1984/7//
PB - Accademia Nazionale dei Lincei
VL - 77
IS - 1-2
SP - 28
EP - 34
LA - eng
KW - Retherford's problem; bibasic system; uniformly minimal sequence; biorthogonal bounded system
UR - http://eudml.org/doc/287281
ER -

References

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  1. BANACH, S. (1932) - Théorie des operations linéaires. Chelsea Publishing Company, New York. Zbl0067.08902
  2. DAVIS, W.J., DEAN, O. and BOR-LUH, L. (1973) - Bibasic systems and norming basic sequences. «Trans. Amer. Math. Soc.», 176, 89-102. Zbl0249.46010MR313763
  3. KRANSOSELSKII, M.A., KREIN, M.G. and MILMAN, D.P. (1948) - On defect numbers of linear operators in a Banach space and on some geometric problems. «Sbornik Trud. Inst. Matem. Akad. Nauk Ukr. SSR», 11, 97-112. 
  4. MILMAN, V.D. (1970) - Geometric theory of Banach spaces. Part I. «Russian Math. Surveys», 25, 111-170. Zbl0221.46015MR280985
  5. PELCZYNSKI, A. (1966) - Some open questions in functional analysis (A lecture given to Lousiana State University). Dittoed Notes. 
  6. SINGER, I. (1970) —Best approximation in normed linear spaces by elements of linear subspaces. Berlin-Heidelberg-New York: Springer. Zbl0197.38601MR270044
  7. SINGER, I. (1970) - Bases in Banach spaces I. Berlin-Heidelberg-New York: Springer. Zbl0198.16601MR298399
  8. SINGER, I. (1981) - Bases in Banach spaces II. Berlin-Heidelberg-New York: Springer. Zbl0467.46020MR610799
  9. TERENZI, P. (1979) — A complement to Krein-Milman-Rutman theorem, with applications. «Ist. Lombardo (Rend. Sc.)», A 113, 341-353. Zbl0465.46005MR622113
  10. TERENZI, P. (1983) - Extension of uniformly minimal M-basic sequences in Banach spaces. «J. London Math. Society (2)», 27, 500-506. Zbl0488.46011MR697142DOI10.1112/jlms/s2-27.3.500

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