Open problems in theory of metric linear spaces

Stefan Rolewicz

Mémoires de la Société Mathématique de France (1972)

  • Volume: 31-32, page 327-334
  • ISSN: 0249-633X

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Rolewicz, Stefan. "Open problems in theory of metric linear spaces." Mémoires de la Société Mathématique de France 31-32 (1972): 327-334. <http://eudml.org/doc/94627>.

@article{Rolewicz1972,
author = {Rolewicz, Stefan},
journal = {Mémoires de la Société Mathématique de France},
language = {eng},
pages = {327-334},
publisher = {Société mathématique de France},
title = {Open problems in theory of metric linear spaces},
url = {http://eudml.org/doc/94627},
volume = {31-32},
year = {1972},
}

TY - JOUR
AU - Rolewicz, Stefan
TI - Open problems in theory of metric linear spaces
JO - Mémoires de la Société Mathématique de France
PY - 1972
PB - Société mathématique de France
VL - 31-32
SP - 327
EP - 334
LA - eng
UR - http://eudml.org/doc/94627
ER -

References

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  2. [2] AUERBACH (H.). — Sur les groupes linéaires. Stud. Math. I-4 (1935), 113-127 ; II-4 (1935), 158-166. Zbl0008.33808
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  4. [4] BESSAGA (C.), PELCZYNSKI (A.), ROLEWICZ (S.). — On diametral approximative dimension and linear homogeneity of F-spaces. Bull. Acad. Pol. Sc. 9 (1961), 677-683. Zbl0109.33502MR24 #A2219
  5. [5] CHARZYNSKI (Z.). — Sur les transformations isométriques des espaces du type F. Stud. Math. 13 (1953), 94-121. Zbl0051.08504MR15,38f
  6. [6] DVORETZKY (A.), ROGERS (C. A.). — Absolute and unconditional convergence in normed linear spaces. Proc. Nat. Acad. Sc. U. S. A. 36 (1950), 162-166. Zbl0036.36303MR11,525a
  7. [7] DYNIN (A.), MITIAGIN (B.). — Criterion for nuclearity in terms of approximative dimension. Bull. Acad. Pol. Sc. 8 (1960), 535-540. Zbl0104.08504MR24 #A2221
  8. [8] EIDELHEIT (M.), MAZUR (S.). — Eine Bemerkung über die Raüme vom typus F. Stud. Math. 7 (1938), 159-161. Zbl0018.21903JFM64.0367.03
  9. [9] GROTHENDIECK (A.). — Produits tensoriels et espaces nucléaires. Mém. Amer. Math. Soc. 16 (1955). Zbl0064.35501MR17,763c
  10. [10] KAKUTANI (S.). — Uber die metrisation der topologischen gruppen. Proc. Imp. Acad. Tokyo 12 (1936), 82-84. Zbl0015.00701JFM62.1230.03
  11. [11] KLEE (V. L.). — Invariant metrics in groups. Proc. Amer. Math. Soc. 3 (1952), 484-487. Zbl0047.02902MR13,848g
  12. [12] MAZUR (S.), ULAM (S.). — Sur les transformations isométriques d'espaces vectoriels normés. Comp. Rend. Acad. Paris 194 (1932), 946-948. Zbl0004.02103JFM58.0423.01
  13. [13] PELCZYNSKI (A.). — On the approximation of S-spaces by finite dimensional spaces. Bull. Acad. Pol. Sc. 5 (1957), 879-881. Zbl0078.28703MR19,1065c
  14. [14] ROLEWICZ (S.). — On certain class of linear metric spaces. Bull. Acad. Pol. Sc. 5 (1957), 471-473. Zbl0079.12602MR19,562d
  15. [15] ROLEWICZ (S.). — A generalisation of the Mazur-Ulam theorem. Stud. Math. 31 (1968), 501-505. Zbl0185.20604MR39 #751
  16. [16] ROLEWICZ (S.). — Metric linear spaces. Monografie matematyczne 56 PWN — Polish Scientific Publishers, Warszawa (1971), (in print). Zbl0226.46001
  17. [17] ROLEWICZ (S.). — On some generalisation of Dvoretzky-Rogers theorem. Coll. Math. 8 (1960), 103-106. Zbl0108.27001MR25 #2408
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  20. [20] TURPIN (P.). — The spaces Λϐ(E) and Λг(E) (prepint). 

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