M -ideals of compact operators into ℓ p

Kamil John; Dirk Werner

Czechoslovak Mathematical Journal (2000)

  • Volume: 50, Issue: 1, page 51-57
  • ISSN: 0011-4642

Abstract

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We show for 2 ≤ p < ∞ and subspaces X of quotients of L p with a 1 -unconditional finite-dimensional Schauder decomposition that K ( X , ℓ p ) is an M -ideal in L ( X , ℓ p ) .

How to cite

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John, Kamil, and Werner, Dirk. "$M$-ideals of compact operators into $\ell _p$." Czechoslovak Mathematical Journal 50.1 (2000): 51-57. <http://eudml.org/doc/30540>.

@article{John2000,
abstract = {We show for $2\le p<\infty $ and subspaces $X$ of quotients of $L_\{p\}$ with a $1$-unconditional finite-dimensional Schauder decomposition that $K(X,\ell _\{p\})$ is an $M$-ideal in $L(X,\ell _\{p\})$.},
author = {John, Kamil, Werner, Dirk},
journal = {Czechoslovak Mathematical Journal},
keywords = {compact operator; -ideal; Rademacher cotype},
language = {eng},
number = {1},
pages = {51-57},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {$M$-ideals of compact operators into $\ell _p$},
url = {http://eudml.org/doc/30540},
volume = {50},
year = {2000},
}

TY - JOUR
AU - John, Kamil
AU - Werner, Dirk
TI - $M$-ideals of compact operators into $\ell _p$
JO - Czechoslovak Mathematical Journal
PY - 2000
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 50
IS - 1
SP - 51
EP - 57
AB - We show for $2\le p<\infty $ and subspaces $X$ of quotients of $L_{p}$ with a $1$-unconditional finite-dimensional Schauder decomposition that $K(X,\ell _{p})$ is an $M$-ideal in $L(X,\ell _{p})$.
LA - eng
KW - compact operator; -ideal; Rademacher cotype
UR - http://eudml.org/doc/30540
ER -

References

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  3. Unconditional ideals in Banach spaces, Studia Math. 104 (1993), 13–59. (1993) MR1208038
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  6. Property ( M ) , M -ideals and almost isometric structure of Banach spaces, J. Reine Angew. Math. 461 (1995), 137–178. (1995) MR1324212
  7. 10.4064/sm-113-3-249-263, Studia Math. 113 (1995), 249–263. (1995) Zbl0826.46013MR1330210DOI10.4064/sm-113-3-249-263
  8. Complex unconditional metric approximation property for C Λ ( 𝐓 ) spaces, Preprint (1995). (1995) MR1424701
  9. c p , Israel J. Math. 5 (1967), 249–271. (1967) MR0225140
  10. Dual de l’espace des opérateurs linéaires continus, C. R. Acad. Sc. Paris, Sér. A 309 (1989), 983–986. (1989) Zbl0684.47025MR1054748
  11. 10.1017/S0305004100075447, Math. Proc. Cambridge Phil. Soc. 111 (1992), 337–354. (1992) Zbl0787.46020MR1142754DOI10.1017/S0305004100075447

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