On complemented copies of c 0 in spaces of operators, II

Giovanni Emmanuele

Commentationes Mathematicae Universitatis Carolinae (1994)

  • Volume: 35, Issue: 2, page 259-261
  • ISSN: 0010-2628

Abstract

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We show that as soon as c 0 embeds complementably into the space of all weakly compact operators from X to Y , then it must live either in X * or in Y .

How to cite

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Emmanuele, Giovanni. "On complemented copies of $c_0$ in spaces of operators, II." Commentationes Mathematicae Universitatis Carolinae 35.2 (1994): 259-261. <http://eudml.org/doc/247620>.

@article{Emmanuele1994,
abstract = {We show that as soon as $c_0$ embeds complementably into the space of all weakly compact operators from $X$ to $Y$, then it must live either in $X^\ast $ or in $Y$.},
author = {Emmanuele, Giovanni},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {spaces of weakly compact operators; complemented copies of $c_0$; complemented copies of ; space of all weakly compact operators},
language = {eng},
number = {2},
pages = {259-261},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On complemented copies of $c_0$ in spaces of operators, II},
url = {http://eudml.org/doc/247620},
volume = {35},
year = {1994},
}

TY - JOUR
AU - Emmanuele, Giovanni
TI - On complemented copies of $c_0$ in spaces of operators, II
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1994
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 35
IS - 2
SP - 259
EP - 261
AB - We show that as soon as $c_0$ embeds complementably into the space of all weakly compact operators from $X$ to $Y$, then it must live either in $X^\ast $ or in $Y$.
LA - eng
KW - spaces of weakly compact operators; complemented copies of $c_0$; complemented copies of ; space of all weakly compact operators
UR - http://eudml.org/doc/247620
ER -

References

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  2. Diestel J., Sequences and Series in Banach Spaces, Graduate Text in Mathematics 97, Springer Verlag 1984. MR0737004
  3. Emmanuele G., Dominated operators on C [ 0 , 1 ] and the ( C R P ) , Collect. Math. 41 (1990), 21-25. (1990) Zbl0752.47006MR1134442
  4. Emmanuele G., Remarks on the uncomplemented subspace W ( E , F ) , J. Funct. Analysis 99 (1991), 125-130. (1991) Zbl0769.46006MR1120917
  5. Emmanuele G., On the containment of c 0 by spaces of compact operators, Bull. Sci. Math. 115 (1991), 177-184. (1991) MR1101022
  6. Emmanuele G., A remark on the containment of c 0 in spaces of compact operators, Math. Proc. Cambridge Phil. Soc. 111 (1992), 331-335. (1992) MR1142753
  7. Emmanuele G., On complemented copies of c 0 in spaces of operators, Comm. Math. 32 (1992), 29-32. (1992) MR1202755
  8. Emmanuele G., About the position of K w * ( X * , Y ) in L w * ( X * , Y ) , Atti Sem. Mat. Fisico Univ. Modena, to appear. MR1282327
  9. Emmanuele G., John K., Uncomplementability of spaces of compact operators in larger spaces of operators, to appear. Zbl0903.46006MR1435603
  10. Feder M., On subspaces of spaces with an unconditional basis and spaces of operators, Illinois J. Math. 34 (1980), 196-205. (1980) Zbl0411.46009MR0575060
  11. Holub J.R., Tensor product bases and tensor diagonals, Trans. Amer. Math. Soc. 151 (1970), 563-579. (1970) Zbl0216.16203MR0279564
  12. Kalton N.J., Spaces of compact operators, Math. Annalen 208 (1974), 267-278. (1974) Zbl0266.47038MR0341154

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