A Banach space with a symmetric basis which contains no p or c 0 , and all its symmetric basic sequences are equivalent

Z. Altshuler

Compositio Mathematica (1977)

  • Volume: 35, Issue: 2, page 189-195
  • ISSN: 0010-437X

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Altshuler, Z.. "A Banach space with a symmetric basis which contains no $\ell _ p$ or $c_0$, and all its symmetric basic sequences are equivalent." Compositio Mathematica 35.2 (1977): 189-195. <http://eudml.org/doc/89346>.

@article{Altshuler1977,
author = {Altshuler, Z.},
journal = {Compositio Mathematica},
language = {eng},
number = {2},
pages = {189-195},
publisher = {Noordhoff International Publishing},
title = {A Banach space with a symmetric basis which contains no $\ell _ p$ or $c_0$, and all its symmetric basic sequences are equivalent},
url = {http://eudml.org/doc/89346},
volume = {35},
year = {1977},
}

TY - JOUR
AU - Altshuler, Z.
TI - A Banach space with a symmetric basis which contains no $\ell _ p$ or $c_0$, and all its symmetric basic sequences are equivalent
JO - Compositio Mathematica
PY - 1977
PB - Noordhoff International Publishing
VL - 35
IS - 2
SP - 189
EP - 195
LA - eng
UR - http://eudml.org/doc/89346
ER -

References

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  1. [1] Z. Altshuler: Characterization of c0 and lp among Banach spaces with symmetric basis. Israel J. of Math.24(1) (1976) 39-44. Zbl0333.46009MR420228
  2. [2] T. Figiel and W.B. Johnson: A uniformly convex Banach space which contains no lp. Compositio Math.29(2) (1974) 179-190. Zbl0301.46013MR355537
  3. [3] W.J. Leveque: Topics in number theory I. Addison-Wesley Publishing Company. Zbl0070.03803
  4. [4] B.S. Tsirelson: Not every Banach space contains an imbedding of c0 or lp. Functional analysis and its application8 (1974) 138-141. Zbl0296.46018

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