Extension of operators from weak*-closed sub-spaces of l 1 into C(K) spaces

W. Johnson; M. Zippin

Studia Mathematica (1995)

  • Volume: 117, Issue: 1, page 43-55
  • ISSN: 0039-3223

Abstract

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It is proved that every operator from a weak*-closed subspace of 1 into a space C(K) of continuous functions on a compact Hausdorff space K can be extended to an operator from 1 to C(K).

How to cite

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Johnson, W., and Zippin, M.. "Extension of operators from weak*-closed sub-spaces of $l_1$ into C(K) spaces." Studia Mathematica 117.1 (1995): 43-55. <http://eudml.org/doc/216240>.

@article{Johnson1995,
abstract = {It is proved that every operator from a weak*-closed subspace of $ℓ_1$ into a space C(K) of continuous functions on a compact Hausdorff space K can be extended to an operator from $ℓ_1$ to C(K).},
author = {Johnson, W., Zippin, M.},
journal = {Studia Mathematica},
keywords = {extension of operators; weak*-closed subspace of },
language = {eng},
number = {1},
pages = {43-55},
title = {Extension of operators from weak*-closed sub-spaces of $l_1$ into C(K) spaces},
url = {http://eudml.org/doc/216240},
volume = {117},
year = {1995},
}

TY - JOUR
AU - Johnson, W.
AU - Zippin, M.
TI - Extension of operators from weak*-closed sub-spaces of $l_1$ into C(K) spaces
JO - Studia Mathematica
PY - 1995
VL - 117
IS - 1
SP - 43
EP - 55
AB - It is proved that every operator from a weak*-closed subspace of $ℓ_1$ into a space C(K) of continuous functions on a compact Hausdorff space K can be extended to an operator from $ℓ_1$ to C(K).
LA - eng
KW - extension of operators; weak*-closed subspace of
UR - http://eudml.org/doc/216240
ER -

References

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  10. [JZ2] W. B. Johnson and M. Zippin, Extension of operators from subspaces of c 0 ( γ ) into C(K) spaces, Proc. Amer. Math. Soc. 107 (1989), 751-754. Zbl0697.46006
  11. [Lin] J. Lindenstrauss, Extension of compact operators, Mem. Amer. Math. Soc. 48 (1964). Zbl0141.12001
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  15. [LT2] J. Lindenstrauss and L. Tzafriri, Classical Banach Spaces II. Function Spaces, Springer, 1979. Zbl0403.46022
  16. [Mac] G. Mackey, Note on a theorem of Murray, Bull. Amer. Math. Soc. 52 (1046), 322-325. Zbl0063.03692
  17. [Peł] A. Pełczyński, Any separable Banach space with the bounded approximation property is a complemented subspace of a Banach space with a basis, Studia Math. 40 (1971), 239-242. Zbl0223.46019
  18. [Sam1] D. Samet, Vector measures are open maps, Math. Oper. Res. 9 (1984), 471-474. Zbl0578.28008
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  20. [Zip] M. Zippin, A global approach to certain operator extension problems, in: Longhorn Notes, Lecture Notes in Math. 1470, Springer, 1991, 78-84. 

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