# Subspaces of ${L}_{p}$ which embed into ${l}_{p}$

Compositio Mathematica (1974)

- Volume: 28, Issue: 1, page 37-49
- ISSN: 0010-437X

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topJohnson, W. B., and Odell, E.. "Subspaces of $L_p$ which embed into $l_p$." Compositio Mathematica 28.1 (1974): 37-49. <http://eudml.org/doc/89199>.

@article{Johnson1974,

author = {Johnson, W. B., Odell, E.},

journal = {Compositio Mathematica},

language = {eng},

number = {1},

pages = {37-49},

publisher = {Noordhoff International Publishing},

title = {Subspaces of $L_p$ which embed into $l_p$},

url = {http://eudml.org/doc/89199},

volume = {28},

year = {1974},

}

TY - JOUR

AU - Johnson, W. B.

AU - Odell, E.

TI - Subspaces of $L_p$ which embed into $l_p$

JO - Compositio Mathematica

PY - 1974

PB - Noordhoff International Publishing

VL - 28

IS - 1

SP - 37

EP - 49

LA - eng

UR - http://eudml.org/doc/89199

ER -

## References

top- [1] C. Bessaga and A. Pelczynski: On bases and unconditional convergence of series in Banach spaces. Studia Math.17 (1958) 151-164. Zbl0084.09805MR115069
- [2] E. Dubinsky, A. Pelczynski, and H.P. Rosenthal: On Banach spaces X for which π2(L∞, X) = B(L∞, X). Studia Math.44 (1972) 617-648. Zbl0262.46018
- [3] P. Enflo and H.P. Rosenthal: Some results concerning LP(μ)-spaces (to appear). Zbl0265.46032
- [4] W.B. Johnson and M. Zippin: On subspaces of quotients of (ΣG n)lp and (ΣGn)co. Israel J. Math.13 (1972) 311-316. Zbl0252.46025
- [5] M.I. Kadec and A. Pelczynski: Bases lacunary sequences and complemented subspaces in the spaces Lp. Studia Math.21 (1962) 161-176. Zbl0102.32202
- [6] J. Lindenstrauss: On non-separable reflexive Banach spaces. Bull. Amer. Math. Soc.72 (1966) 967-970. Zbl0156.36403MR205040
- [7] J. Lindenstrauss and A. Pelczynski: Absolutely summing operators in L p spaces and their applications. Studia Math.29 (1968) 275-326. Zbl0183.40501MR231188
- [8] J. Lindenstrauss and L. Tzafriri: Classical Banach spaces. Lecture Notes in Mathematics338. Springer-Verlag, 1973. Zbl0259.46011MR415253
- [9] G. Mackey: Note on a theorem of Murray. Bull. Amer. Math. Soc.52 (1946) 322-325. Zbl0063.03692MR15676
- [10] R.E.A.C. Paley: A remarkable series of orthogonal functions, I. Proc. London Math Soc.34 (1932) 241-264. Zbl0005.24806JFM58.0284.03
- [11] A. Pelczynski: Projections in certain Banach spaces. Studia Math.19 (1960) 209-228. Zbl0104.08503MR126145
- [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 Analysis2 (1969) 176-214. Zbl0185.20303

## Citations in EuDML Documents

top- W. B. Johnson, On quotients of ${L}_{p}$ which are quotients of ${\ell}_{p}$
- Raquel Gonzalo, Upper and lower estimates in Banach sequence spaces
- J. Arazy, J. Lindenstrauss, Some linear topological properties of the spaces ${C}_{p}$ of operators on Hilbert space
- W. B. Johnson, Operators into ${L}_{p}$ which factor through ${l}_{p}$
- Michèle Capon, Sous-espaces complémentés de ${L}^{p}[0,1]$
- J. Bourgain, A counterexample to a complementation problem
- L. E. Dor, T. Starbird, Projections of ${L}_{p}$ onto subspaces spanned by independent random variables

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