The existence in every separable Banach space of a fundamental total and bounded biorthogonal sequence and related constructions of uniformly bounded orthonormal systems in L 2

R. I. Ovsepian; A. Pełczyński

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1973-1974)

  • page 1-15

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Ovsepian, R. I., and Pełczyński, A.. "The existence in every separable Banach space of a fundamental total and bounded biorthogonal sequence and related constructions of uniformly bounded orthonormal systems in $L^2$." Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1973-1974): 1-15. <http://eudml.org/doc/109104>.

@article{Ovsepian1973-1974,
author = {Ovsepian, R. I., Pełczyński, A.},
journal = {Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")},
language = {eng},
pages = {1-15},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {The existence in every separable Banach space of a fundamental total and bounded biorthogonal sequence and related constructions of uniformly bounded orthonormal systems in $L^2$},
url = {http://eudml.org/doc/109104},
year = {1973-1974},
}

TY - JOUR
AU - Ovsepian, R. I.
AU - Pełczyński, A.
TI - The existence in every separable Banach space of a fundamental total and bounded biorthogonal sequence and related constructions of uniformly bounded orthonormal systems in $L^2$
JO - Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
PY - 1973-1974
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 15
LA - eng
UR - http://eudml.org/doc/109104
ER -

References

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  10. [10] A. Pełczyński: A note on the paper of I. Singer "Basic sequences and reflexivity of Banach spaces", Studia Math.21 (1962), 371 -374. Zbl0114.30904MR146636
  11. [11] A. Persson und A. Pietsch: p-nukleare und p-integrale Abbildungen in Banachräumen, Studia Math.33 (1969), 19-62. Zbl0189.43602MR243323
  12. [12] A. Pietsch: Absolutely p-summierende Abbildungen in normirten Räumen, Studia Math, 28 (1967), 333 - 353. Zbl0156.37903MR216328
  13. [13] H.P. Rosenthal: A characterization of Banach spaces containing l1, Proc. Nat. Acad. Sci. USA to appear. Zbl0297.46013
  14. [14] H.S. Shapiro: Incomplete orthogonal families and related question on orthogonal matrices, Michigan J. Math.11 (1964), 15 - 18. Zbl0122.06301MR159180
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  16. [16] L. Weiss: On strictly singular and strictly cosingular operators in preparation. 

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