An example of infinite dimensional reflexive space non-isomorphic to its cartesian square

Tadeusz Figiel

Mémoires de la Société Mathématique de France (1972)

  • Volume: 31-32, page 165-167
  • ISSN: 0249-633X

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Figiel, Tadeusz. "An example of infinite dimensional reflexive space non-isomorphic to its cartesian square." Mémoires de la Société Mathématique de France 31-32 (1972): 165-167. <http://eudml.org/doc/94607>.

@article{Figiel1972,
author = {Figiel, Tadeusz},
journal = {Mémoires de la Société Mathématique de France},
language = {eng},
pages = {165-167},
publisher = {Société mathématique de France},
title = {An example of infinite dimensional reflexive space non-isomorphic to its cartesian square},
url = {http://eudml.org/doc/94607},
volume = {31-32},
year = {1972},
}

TY - JOUR
AU - Figiel, Tadeusz
TI - An example of infinite dimensional reflexive space non-isomorphic to its cartesian square
JO - Mémoires de la Société Mathématique de France
PY - 1972
PB - Société mathématique de France
VL - 31-32
SP - 165
EP - 167
LA - eng
UR - http://eudml.org/doc/94607
ER -

References

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  1. [1] ANDERSON (R.D.), CHAPMAN (T.), and SCHORI (R.M.). — Problems in the topology of infinite-dimensional spaces and manifolds, Amsterdam 1971. Zbl0207.54203
  2. [2] BANACH (S.). — Théorie des opérations linéaires. Monografje Matematyczne, Warsaw, 1932. Zbl0005.20901JFM58.0420.01
  3. [3] BESSAGA (C.) and PELCZYNSKI (A.). — On bases and unconditional convergence of series in Banach spaces, Studia Math. 17, (1958), p. 151-169. Zbl0084.09805MR22 #5872
  4. [4] BESSAGA (C.) and PELCZYNSKI (A.). — Banach spaces non-isomorphic to their Cartesian squares I, Bull. Acad. Polon. Sci., sér. sci. math., astr. et phys. 8 (1960), p. 77-80. Zbl0091.27801MR22 #5876
  5. [5] DAY (M.M.). — Some more uniformly convex spaces, Bull. Amer. Math. Soc. 47 (1941), p. 504-507. Zbl0027.11003MR2,314aJFM67.0402.03
  6. [6] FIGIEL (T.). — An example of infinite dimensional reflexive Banach space non-isomorphic to its Cartesian square, Studia Math., to appear. Zbl0213.12801
  7. [7] KADEC (M.I.) and PELCZYNSKI (A.). — Bases, lacunary sequences and complemented subspaces in the spaces Lp' Studia Math. 21 (1962), p. 161-176. Zbl0102.32202MR27 #2851
  8. [8] SEMADENI (Z.). — Banach spaces non-isomorphic to their Cartesian squares II, Bull. Acad. Polon. Sci., sér. sci. math., astr. et phys. 8 (1960), p. 81-86. Zbl0091.27802MR22 #5877

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