M. A. Akcoglu, J. P. Huneke, and H. Rost, A counter example to the Blum Hanson theorem in general spaces, Pacific Journal of Mathematics, vol.50, issue.2, pp.305-308, 1974.
DOI : 10.2140/pjm.1974.50.305

M. A. Akcoglu and L. Sucheston, On operator convergence in Hilbert space and in Lebesgue space, Periodica Mathematica Hungarica, vol.25, issue.1-4, pp.235-244, 1972.
DOI : 10.1007/BF02018664

M. A. Akcoglu and L. Sucheston, Weak convergence of positive contractions implies strong convergence of averages, Zeitschrift f???r Wahrscheinlichkeitstheorie und Verwandte Gebiete, vol.40, issue.1-2, pp.139-145, 1975.
DOI : 10.1007/BF00533095

F. Albiac and N. Kalton, Topics in Banach space theory, 2006.
DOI : 10.1007/978-3-319-31557-7

J. Augé, Quelquesprobì emes de dynamique linéaire dans les espaces de Banach, 2012.

A. Bellow, An Lp-inequality with application to ergodic theory, Houston J. Math, vol.1, pp.153-159, 1975.

D. Berend and V. Bergelson, Mixing sequences in Hilbert spaces, Proc. Amer, pp.239-246, 1986.
DOI : 10.1090/S0002-9939-1986-0854026-7

J. R. Blum and D. L. Hanson, On the mean ergodic theorem for subsequences, Bulletin of the American Mathematical Society, vol.66, issue.4, pp.308-311, 1960.
DOI : 10.1090/S0002-9904-1960-10481-8

F. Browder, Fixed point theorems for nonlinear semicontractive mappings in banach spaces, Archive for Rational Mechanics and Analysis, vol.21, issue.4, pp.259-269, 1966.
DOI : 10.1007/BF00282247

P. Casazza, Approximation properties. Handbook of the feometry of Banach spaces, 2001.

P. Casazza and N. Kalton, Notes on approximation properties in separable Banach spaces, London Math. Soc. Lecture Notes, vol.158, pp.49-65, 1991.
DOI : 10.1017/CBO9780511662317.006

S. R. Cowell, N. Kalton, and A. Unconditionality, ASYMPTOTIC UNCONDITIONALITY, The Quarterly Journal of Mathematics, vol.61, issue.2, pp.217-240, 2010.
DOI : 10.1093/qmath/han036

URL : http://arxiv.org/abs/0809.2294

T. Dalby and B. Sims, Duality map characterisations for Opial conditions, Bulletin of the Australian Mathematical Society, vol.40, issue.03, pp.413-417, 1996.
DOI : 10.1016/0362-546X(92)90165-B

S. Delpech, Asymptotic uniform moduli and Kottman constant of Orlicz sequence spaces, Revista Matem??tica Complutense, vol.22, issue.2, pp.455-467, 2009.
DOI : 10.5209/rev_REMA.2009.v22.n2.16285

R. Deville, G. Godefroy, and V. Zizler, Smoothness and renormings in Banach spaces, Longman, 1993.

S. J. Dilworth, D. Kutzarova, K. L. Shuman, V. N. Temlyakov, and P. Wojtaszczyk, Weak Convergence of Greedy Algorithms in Banach Spaces, Journal of Fourier Analysis and Applications, vol.28, issue.5-6, pp.609-628, 2008.
DOI : 10.1007/s00041-008-9034-0

P. Erdös and M. Magidor, A note on regular methods of summability and the Banach-Saks property, Proc. Amer, pp.232-234, 1976.

J. García-falset, Stability of the Fixed Point Property for Nonexpansive Mappings, Houston J. Math, vol.20, pp.495-506, 1994.
DOI : 10.1007/978-94-017-1748-9_7

S. Duta and A. Godard, Banach Spaces with Property (M) and their Szlenk Indices, Mediterranean Journal of Mathematics, vol.5, issue.2, pp.211-220, 2008.
DOI : 10.1007/s00009-008-0145-2

G. Godefroy, N. Kalton, and G. Lancien, Szlenk index and uniform homeomorphisms, Transactions of the American Mathematical Society, vol.353, issue.10, pp.3895-3918, 2001.
DOI : 10.1090/S0002-9947-01-02825-2

R. Gonzalo, J. A. Jaramillo, and S. L. Troyanski, High order smoothness and asymptotic structures in Banach spaces, J. Convex Anal, vol.14, pp.249-269, 2007.

L. K. Jones and V. Kuftinec, A note on the Blum-Hanson theorem, Proc. Amer, pp.202-203, 1971.
DOI : 10.1090/S0002-9939-1971-0281023-4

L. K. Jones and M. Lin, Ergodic theorems of weak mixing type, Proc. Amer, pp.50-52, 1976.
DOI : 10.1090/S0002-9939-1976-0405134-X

W. B. Johnson, J. Lindenstrauss, D. Preiss, and G. Schechtman, Almost Fr??chet Differentiability of Lipschitz Mappings Between Infinite-Dimensional Banach Spaces, Proc. London, pp.711-746, 2002.
DOI : 10.1112/S0024611502013400

N. Kalton, M -ideals of compact operators, Illinois J. Math, vol.37, pp.147-169, 1993.

N. Kalton and D. Werner, Property pM q, M -ideals, and almost isometric structure of Banach spaces, J. Rein Angew. Math, pp.461-137, 1995.

?. Lima, Property pwM?qpwM?pwM?q and the unconditional metric compact approximation property, Studia Math, vol.113, pp.249-263, 1995.

P. Lin, K. K. Tan, and H. Xu, Demiclosedness principle and asymptotic behavior for asymptotically nonexpansive mappings, Nonlinear Analysis: Theory, Methods & Applications, vol.24, issue.6, pp.929-946, 1995.
DOI : 10.1016/0362-546X(94)00128-5

J. Lindenstrauss and L. Tzafriri, Classical Banach spaces, I, 1977.

J. Krivine and B. Maurey, Espaces de Banach stables, Israel Journal of Mathematics, vol.298, issue.4, pp.273-295, 1981.
DOI : 10.2307/1971054

E. Maluta, S. Prus, and M. Szczepanik, On Milman???s moduli for Banach spaces, Abstract and Applied Analysis, vol.6, issue.2, pp.115-129, 2001.
DOI : 10.1155/S1085337501000483

G. Marino, P. Pietramala, and H. Xu, On property pM q and its generalizations, J. Math. Anal. Appl, vol.261, pp.271-281, 2001.

S. Mercourakis, On Cesaro summable sequences of continuous functions, Mathematika, vol.1, issue.01, pp.87-104, 1995.
DOI : 10.2307/2041474

E. Michael and A. , Pee lczy´nskilczy´nski, A linear extension theorem, Illinois J. Math, vol.11, pp.563-579, 1967.

A. Millet, Sur le th???or???me en moyenne d'Akcoglu-Sucheston, Mathematische Zeitschrift, vol.8, issue.3, pp.213-237, 1980.
DOI : 10.1007/BF01215086

V. D. Milman, GEOMETRIC THEORY OF BANACH SPACES. PART II. GEOMETRY OF THE UNIT SPHERE, Russian Mathematical Surveys, vol.26, issue.6, pp.79-163, 1971.
DOI : 10.1070/RM1971v026n06ABEH001273

V. Müller and Y. Tomilov, Quasisimilarity of power bounded operators and Blum???Hanson property, Journal of Functional Analysis, vol.246, issue.2, pp.385-399, 2007.
DOI : 10.1016/j.jfa.2007.01.009

T. Oikhberg, Reverse monotone approximation property, Contemporary Math, vol.547, pp.197-206, 2011.
DOI : 10.1090/conm/547/10820

S. Prus, On infinite-dimensional uniform smoothness of Banach spaces, Comment. Math. Univ. Carolin, vol.40, pp.97-105, 1999.

M. M. Rao and Z. D. Ren, Theory of Orlicz spaces, 1991.

M. M. Rao and Z. D. Ren, Applications of Orlicz spaces, 2002.

B. Sims, A class of spaces with weak normal structure, Bulletin of the Australian Mathematical Society, vol.10, issue.03, pp.523-528, 1994.
DOI : 10.1090/S0002-9904-1967-11761-0

M. Weber, Dynamical systems and processes, 2009.
DOI : 10.4171/046

L. Zsidó, Weak mixing properties of vector sequences. Oper. Theory Adv, Appl, vol.171, pp.361-388, 2007.