# On quotients of ${L}_{p}$ which are quotients of ${\ell}_{p}$

Compositio Mathematica (1977)

- Volume: 34, Issue: 1, page 69-89
- ISSN: 0010-437X

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topJohnson, W. B.. "On quotients of $L_p$ which are quotients of $\ell _p$." Compositio Mathematica 34.1 (1977): 69-89. <http://eudml.org/doc/89316>.

@article{Johnson1977,

author = {Johnson, W. B.},

journal = {Compositio Mathematica},

language = {eng},

number = {1},

pages = {69-89},

publisher = {Noordhoff International Publishing},

title = {On quotients of $L_p$ which are quotients of $\ell _p$},

url = {http://eudml.org/doc/89316},

volume = {34},

year = {1977},

}

TY - JOUR

AU - Johnson, W. B.

TI - On quotients of $L_p$ which are quotients of $\ell _p$

JO - Compositio Mathematica

PY - 1977

PB - Noordhoff International Publishing

VL - 34

IS - 1

SP - 69

EP - 89

LA - eng

UR - http://eudml.org/doc/89316

ER -

## References

top- [1] G. Bennett, L.E. Dor, V. Goodman, W.B. Johnson and C.M. Newman: On uncomplemented subspaces of L p, 1 < p < 2. Israel J. Math. Zbl0339.46022MR435822
- [2] P. Enflo and H.P. Rosenthal: Some results concerning Lp (μ) spaces, J. Functional Analysis, 14 (1973) 325-348. Zbl0265.46032
- [3] W.B. Johnson: Factoring compact operators. Israel J. Math., 9 (1971) 337-345. Zbl0236.47045MR290133
- [4] W.B. Johnson and E. Odell: Subspaces of Lp which embed into lp. Comp. Math., 28 (1974) 37-49. Zbl0282.46020MR352938
- [5] W.B. Johnson and M. Zippin: On subspaces of quotients of (Σ G n)lp and (Σ Gn)co. Israel J. Math., 13 (1972) 311-316. Zbl0252.46025
- [6] W.B. Johnson and M. Zippin: Subspaces and quotient spaces of (Σ Gn)lp and (Σ Gn)co. Israel J. Math., 17 (1974) 50-55. Zbl0282.46015
- [7] J. Lindenstrauss and L. Tzafriri: Classical Banach spaces. Springer-Verlag Lecture Notes338 (1973). Zbl0259.46011MR415253
- [8] B. Maurey and H.P. Rosenthal: Normalized weakly null sequences with no unconditional subsequence. Studio Math. Zbl0357.46025
- [9] A. Pelczynski: Projections in certain Banach spaces. Studia Math., 19 (1960) 209-228. Zbl0104.08503MR126145
- [10] H.P. Rosenthal: Projections onto translation-invariant subspaces of Lp(G). Memoirs AMS, 63 (1966). Zbl0203.43903MR211198
- [11] H.P. Rosenthal: On the subspaces of Lp (p > 2) spanned by sequences of independent random variables. Israel J. Math., 8 (1970) 273-303. Zbl0213.19303MR271721
- [12] H.P. Rosenthal: On quasi-complemented subspaces of Banach spaces, with an appendix on compactness of operators from Lp(μ) to Lr(v). J. Functional Analysis, 2 (1969) 176-214. Zbl0185.20303

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