Subspace of $\textrm {LC}(H)$ and $C_{p}$
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- by Yaakov Friedman PDF
- Proc. Amer. Math. Soc. 53 (1975), 117-122 Request permission
Abstract:
This paper deals with certain properties of the subspaces of $LC(H)$ and ${C_p}$ and namely those connected with the reflexivity and with the property of containing classical spaces. It is proved that any subspace of ${C_p}(1 \leqslant p < \infty )$ is either isomorphic to Hilbert space or it contains a subspace isomorphic to ${l_p}$. For ${C_1}$ and $LC(H)$ the same results were obtained by J. R. Holub, cf. [4].References
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Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 53 (1975), 117-122
- MSC: Primary 47D15; Secondary 47B10
- DOI: https://doi.org/10.1090/S0002-9939-1975-0377592-X
- MathSciNet review: 0377592