The three space problem for locally bounded F -spaces

N. J. Kalton

Compositio Mathematica (1978)

  • Volume: 37, Issue: 3, page 243-276
  • ISSN: 0010-437X

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Kalton, N. J.. "The three space problem for locally bounded $F$-spaces." Compositio Mathematica 37.3 (1978): 243-276. <http://eudml.org/doc/89382>.

@article{Kalton1978,
author = {Kalton, N. J.},
journal = {Compositio Mathematica},
keywords = {Separating Dual; Locally Bounded F-Spaces; Three Space Problem; B-Convex Banach Spaces; R-Banach Space; Complemented Subspace},
language = {eng},
number = {3},
pages = {243-276},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {The three space problem for locally bounded $F$-spaces},
url = {http://eudml.org/doc/89382},
volume = {37},
year = {1978},
}

TY - JOUR
AU - Kalton, N. J.
TI - The three space problem for locally bounded $F$-spaces
JO - Compositio Mathematica
PY - 1978
PB - Sijthoff et Noordhoff International Publishers
VL - 37
IS - 3
SP - 243
EP - 276
LA - eng
KW - Separating Dual; Locally Bounded F-Spaces; Three Space Problem; B-Convex Banach Spaces; R-Banach Space; Complemented Subspace
UR - http://eudml.org/doc/89382
ER -

References

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  1. [1] T. Aoki: Locally bounded linear topological spaces. Proc. Imp. Acad. Tokyo18 (1942) No. 10. Zbl0060.26503MR14182
  2. [2] A. Beck: A convexity condition in Banach spaces and the strong law of large numbers. Proc. Amer. Math. Soc.13 (1962) 329-334. Zbl0108.31401MR133857
  3. [3] S. Dierolf: Über Vererbbarkeitseigenschaften in topologischen Vektorräumen, Dissertation, Munich1974. 
  4. [4] P. Enflo, J. Lindenstrauss and G. Pisier: On the 'three space problem'. Math. Scand.36 (1975) 199-210. Zbl0314.46015MR383047
  5. [5] D.P. Giesy: On a convexity condition in normed linear spaces. Trans. Amer. Math. Soc.125 (1966) 114-146. Zbl0183.13204MR205031
  6. [6] N.J. Kalton: Orlicz sequence spaces without local convexity (to appear). Zbl0345.46013MR433194
  7. [7] N.J. Kalton and N.T. Peck: Quotients of Lp(0, 1) for 0 ≤ p &lt; 1 (to appear). Zbl0393.46007
  8. [8] N.J. Kalton and J.H. Shapiro: Bases and basic sequences in F-spaces. Studia Math., 61 (1976) 47-61. Zbl0334.46008MR420201
  9. [9] M. Ribe: l1 as a quotient space over an uncomplemented line (to appear). 
  10. [10] S. Rolewicz: On certain classes of linear metric spaces. Bull. Acad. Polon. Sci.5 (1957) 471-473. Zbl0079.12602MR88682
  11. [11] S. Rolewicz: Some remarks on the spaces N(L) and N(l). Studia Math.18 (1959) 1-9. Zbl0085.32301MR103413
  12. [12] W.J. Stiles: Some properties of lp, 0 &lt; p &lt; 1. Studia Math. 42 (1972) 109-119. Zbl0208.14502MR308726
  13. [13] P. Turpin: Convexités dans les espaces vectoriels topologiques generaux, Diss. Math. No. 131, 1976. Zbl0331.46001MR423044

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