Complex Unconditional Metric Approximation Property for $C_{\Lambda }\left(\right)$ spaces

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1. [1] G. F. Bachelis and S. E. Ebenstein, On Λ(p) sets, Pacific J. Math. 54 (1974), 35-38. Zbl0304.43013
2. [2] D. L. Cartwright, R. B. Howlett and J. R. McMullen, Extreme values for the Sidon constant, Proc. Amer. Math. Soc. 81 (1981), 531-537. Zbl0461.43011
3. [3] P. Casazza and N. J. Kalton, Notes on approximation properties in separable Banach spaces, in: Geometry of Banach Spaces, P. F. X. Müller and W. Schachermayer (eds)., London Math. Soc. Lecture Note Ser. 158, Cambridge Univ. Press, 1990, 49-63. Zbl0743.41027
4. [4] G. Godefroy, On Riesz subsets of abelian discrete groups, Israel J. Math. 61 (1988), 301-331. Zbl0661.43003
5. [5] G. Godefroy and N. J. Kalton, Commuting approximation properties, preprint. 
6. [6] G. Godefroy, N. J. Kalton and D. Li, On subspaces of $L^1$ which embed into ${\ell }_1$, J. Reine Angew. Math. 471 (1996), 43-75. 
7. [7] G. Godefroy, N. J. Kalton and P. D. Saphar, Unconditional ideals in Banach spaces, Studia Math. 104 (1993), 13-59. Zbl0814.46012
8. [8] G. Godefroy and D. Li, Some natural families of M-ideals, Math. Scand. 66 (1990), 249-263. Zbl0687.46010
9. [9] G. Godefroy and F. Lust-Piquard, Some applications of geometry of Banach spaces to harmonic analysis, Colloq. Math. 60/61 (1990), 443-456. Zbl0759.46019
10. [10] G. H. Hardy and E. M. Wright, An Introduction to the Theory of Numbers, 4th ed., Oxford Univ. Press, 1960. Zbl0086.25803
11. [11] S. Hartman, Some problems and remarks on relative multipliers, Colloq. Math. 54 (1987), 103-111. Zbl0645.43004
12. [12] N. Hindman, On density, translates, and pairwise sums of integers, J. Combin. Theory Ser. A 33 (1982), 147-157. Zbl0496.10036
13. [13] M. I. Kadec and A. Pełczyński, Bases, lacunary sequences and complemented subspaces in the spaces $L_p$, Studia Math. 21 (1962), 161-176. 
14. [14] N. J. Kalton, Spaces of compact operators, Math. Ann. 208 (1974), 267-278. Zbl0266.47038
15. [15] D. Li, On Hilbert sets and $C_{\Lambda }\left(G\right)$-spaces with no subspace isomorphic to $c_0$, Colloq. Math. 63 (1995), 67-77. Zbl0848.43006
16. [16] F. Lust-Piquard, Ensembles de Rosenthal et ensembles de Riesz, C. R. Acad. Sci. Paris Sér. A 282 (1976), 833-835. Zbl0324.43007
17. [17] F. Lust-Piquard, Eléments ergodiques et totalement ergodiques dans $L^{\infty }\left(\Gamma \right)$, Studia Math. 69 (1981), 191-225. Zbl0476.43001
18. [18] Y. Meyer, Endomorphismes des idéaux fermés de $L^1\left(G\right)$, classes de Hardy et séries de Fourier lacunaires, Ann. Sci. Ecole Norm. Sup. (4) 1 (1968), 499-580. Zbl0169.18001
19. [19] Y. Meyer, Algebraic Numbers and Harmonic Analysis, North-Holland, 1972. Zbl0267.43001
20. [20] A. Pełczyński, On commensurate sequences of characters, Proc. Amer. Math. Soc. 104 (1988), 525-531. Zbl0693.46044
21. [21] A. Pełczyński and P. Wojtaszczyk, Banach spaces with finite dimensional expansions of identity and universal bases of finite dimensional subspaces, Studia Math. 40 (1971), 91-108. Zbl0221.46014
22. [22] G. Pisier, Bases, suites lacunaires dans les espaces $L^p$ d’après Kadec et Pełczyński, Sém. Maurey-Schwartz, exposé 18, Ecole Polytechnique, Paris, 1973. 
23. [23] G. Pisier, Les inégalités de Khintchine-Kahane d'après C. Borell, Sém. Géométrie des Espaces de Banach 1977-1978, exposé VII, Ecole Polytechnique, Paris. Zbl0388.60013
24. [24] H. P. Rosenthal, On trigonometric series associated with weak* closed subspaces of continuous functions, J. Math. Mech. 17 (1967), 485-490. Zbl0194.16703
25. [25] W. Rudin, Trigonometric series with gaps, ibid. 9 (1960), 203-227. Zbl0091.05802
26. [26] W. Rudin, $L^p$-isometries and equimeasurability, Indiana Univ. Math. J. 25 (1976), 215-228. 

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