On bounded and total biorthogonal systems spanning given subspaces

Paolo Terenzi

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1979)

  • Volume: 67, Issue: 3-4, page 168-178
  • ISSN: 0392-7881

How to cite

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Terenzi, Paolo. "On bounded and total biorthogonal systems spanning given subspaces." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 67.3-4 (1979): 168-178. <http://eudml.org/doc/288608>.

@article{Terenzi1979,
author = {Terenzi, Paolo},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {9},
number = {3-4},
pages = {168-178},
publisher = {Accademia Nazionale dei Lincei},
title = {On bounded and total biorthogonal systems spanning given subspaces},
url = {http://eudml.org/doc/288608},
volume = {67},
year = {1979},
}

TY - JOUR
AU - Terenzi, Paolo
TI - On bounded and total biorthogonal systems spanning given subspaces
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1979/9//
PB - Accademia Nazionale dei Lincei
VL - 67
IS - 3-4
SP - 168
EP - 178
LA - eng
UR - http://eudml.org/doc/288608
ER -

References

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  1. Foias, C. and Singer, I. (1961) - Some remarks on strongly linearly independent sequences and bases in Banach spaces, «Rev. Math, pures et appl.», 61, 589-594. 
  2. Grinblium, M.M. (1945) - Biorthogonal systems in Banach spaces, «Doklady Akad. Nauk SSSR», 47, 75-78. 
  3. Markuschevich, A. (1943) - Sur les bases (au sens large) dans les espaces linéaires, «Doklady Akad. Nauk SSSR», 41, 227-229. Zbl0061.24701
  4. Milman, V.D. (1970) - Geometric Theory of Banach Spaces. Part I. «Russian Mathematical Surveys», 25, 111-170. 
  5. Ovsepian, R.I. and Pelczynski, A. (1975) - On the existence of a fundamental total and bounded biorthogonal sequence in every separable Banach space, and related constructions of uniformly bounded orthonormal systems in L 2 , «St. Math.», 54, 149-159. Zbl0317.46019
  6. Pelczynski, A. (1976) - All separable Banach spaces admitfor every ϵ > 0 fundamental total and bounded by 1 + ϵ biorthogonal sequences, «St. Math.», 55, 295-304. Zbl0336.46023
  7. Singer, I. (1964) - Baze in spatii Banach II, «Studii si Cercetari Matematice», 15, 157-208. 
  8. Singer, I. (1970) - Bases in Banach Spaces I. Springer-Verlag. 
  9. Singer, I. (1971) - On Biorthogonal Systems and Total Sequences of Functionals, «Math. Ann.», 193, 183-188. Zbl0207.43004
  10. Terenzi, P. (1977) - Properties of structure and completeness, in a Banach Space, of the sequences without an infinite minimal subsequence, «Istituto Lombardo (Rend. Sc.)», 112, 47-66. 
  11. Terenzi, P. (1978) - Biorthogonal systems in Banach spaces, «Riv. Mat. Univ. Parma» (4) 4, 165-204. Zbl0419.46016
  12. Vinokurov, V.S. (1952) - On biorthogonal systems spanning given subspaces, «Dokl. Akad. Nauk SSSR », 685-689. 

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