On the mutually non isomorphic $l_p\left(l_q\right)$

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1. [1] F. Albiac and J.L. Ansorena, On the mutually non isomorphic $l_p\left(l_q\right)$ spaces, II, Math. Nachr. 288 (2015), 5-9. doi: 10.1002/mana.201300161 Zbl1327.46004
2. [2] F. Albiac and N.J. Kalton, Topics in Banach space theory (Graduate Texts in Mathematics, 233, Springer, New York, 2006). Zbl06566917
3. [3] J. Bourgain, P.G. Casazza, J. Lindenstrauss and L. Tzafriri, Banach spaces with a unique unconditional basis, up to permutation, Mem. Amer. Math. Soc. 54, no. 322 (1985). Zbl0575.46011
4. [4] P. Cembranos and J. Mendoza, Banach spaces of vector-valued functions (Lecture Notes in Mathematics 1676, Springer-Verlag, Berlin, 1997). Zbl0902.46017
5. [5] ,P. Cembranos and J. Mendoza, $l_{\infty }\left(l₁\right)$ and $l₁\left(l_{\infty }\right)$ are not isomorphic, J. Math. Anal. Appl. 341 (2008), 295-297. doi: 10.1016/j.jmaa.2007.10.027 Zbl1139.46020
6. [6] P. Cembranos and J. Mendoza, The Banach spaces $l_{\infty }\left(c₀\right)$ and $c₀\left(l_{\infty }\right)$ are not isomorphic, J. Math. Anal. Appl. 367 (2010), 361-363. doi: 10.1016/j.jmaa.2010.01.057 
7. [7] P. Cembranos and J. Mendoza, On the mutually non isomorphic $l_p\left(l_q\right)$ spaces, Math. Nachr. 284 (2011), 2013-2023. doi: 10.1002/mana.201010056 Zbl1234.46007
8. [8] J. Diestel, H. Jarchow and A. Tonge, Absolutely summing operators,Cambridge Studies in Advanced Mathematics, 43 (Cambridge University Press, Cambridge, 1995). Zbl0855.47016
9. [9] W.B. Johnson, A complementary universal conjugate Banach space and its relation to the approximation problem, Proceedings of the International Symposium on Partial Differential Equations and the Geometry of Normed Linear Spaces (Jerusalem, 1972). Israel J. Math. 13 (1972), 301-310. doi: 10.1007/BF02762804 
10. [10] T.E. Khmyleva, On the isomorphism of spaces of bounded continuous functions (Russian. English summary), Investigations on linear operators and the theory of functions, XI. Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI),113,1981,243-246. Translated in Journal of Soviet Mathematics, 22 (1983), 1860-1862. doi: 10.1007/BF01882590 Zbl0489.46015
11. [11] J. Lindenstrauss and L. Tzafriri, Classical Banach spaces I (Ergebnisse der Mathematik und ihrer Grenzgebiete vol. 92, Springer-Verlag, 1977). Zbl0362.46013
12. [12] J. Motos, M.J. Planells and C.F. Talavera, On some iterated weighted spaces, J. Math. Anal. Appl. 338 (2008), 162-174. doi: 10.1016/j.jmaa.2007.05.009 Zbl1145.46022
13. [13] J. Motos and M.J. Planells, On sequence space representations of Hörmander-Beurling spaces, J. Math. Anal. Appl. 348 (2008), 395-403. doi: 10.1016/j.jmaa.2008.07.031 Zbl1162.46024
14. [14] A. Pełczyński, Projections in certain Banach spaces, Studia Math. 19 (1960), 209-228. Zbl0104.08503
15. [15] H. Triebel, Interpolation theory, function spaces, differential operators (VEB Deutscher Verlag der Wissenschaften, Berlin and North-Holland Publishing Co., Amsterdam-New York 1978 (First editions). Johann Ambrosius Barth, Heidelberg 1995 (Second edition)).