A. B. Aleksandrov and V. V. Peller, Hankel and Toeplitz-Schur multipliers, Mathematische Annalen, vol.324, issue.2, pp.277-327, 2002.
DOI : 10.1007/s00208-002-0339-z

URL : http://arxiv.org/pdf/math/0101264

A. B. Aleksandrov and V. V. Peller, Functions of operators under perturbations of class Sp, Journal of Functional Analysis, vol.258, issue.11, pp.3675-3724, 2010.
DOI : 10.1016/j.jfa.2010.02.011

A. B. Aleksandrov and V. V. Peller, Operator H??lder???Zygmund functions, Advances in Mathematics, vol.224, issue.3, pp.910-966, 2010.
DOI : 10.1016/j.aim.2009.12.018

URL : https://doi.org/10.1016/j.aim.2009.12.018

T. Ando, Comparison of norms |||f (A)?f (B)||| and |||f (|A?B|)|||, Mathematische Zeitschrift, vol.23, issue.3, pp.403-409, 1988.
DOI : 10.1007/BF01418338

J. Arazy, Certain Schur-Hadamard multipliers in the spaces Cp, Proc. Amer. Math. Soc, vol.86, issue.1, pp.59-64, 1982.
DOI : 10.2307/2044396

J. Arazy and Y. Friedman, Contractive projections in Cp, Mem. Amer. Math. Soc, vol.95, issue.459, p.109, 1992.

J. Bergh and J. Löfström, Interpolation spaces. An introduction, 1976.

M. S. Birman, L. S. Koplienko, and M. Z. Solomjak, Estimates of the spectrum of a difference of fractional powers of selfadjoint operators, Izv. Vys?. U?ebn. Zaved. Matematika, issue.3154, pp.3-10, 1975.

M. Sh, M. Birman, and . Solomyak, Double operator integrals in a Hilbert space, Integral Equations Operator Theory, vol.47, issue.2, pp.131-168, 2003.

M. Caspers, D. Potapov, F. Sukochev, and D. Zanin, Weak type estimates for the absolute value mapping, Journal of Operator Theory, vol.73, issue.2, pp.361-384, 2015.
DOI : 10.7900/jot.2013dec20.2021

URL : http://arxiv.org/pdf/1309.3378

M. Caspers, J. Parcet, M. Perrin, and R. , NONCOMMUTATIVE DE LEEUW THEOREMS, Forum of Mathematics, Sigma, vol.18, issue.59, p.21, 2015.
DOI : 10.1017/CBO9781107360235

URL : https://hal.archives-ouvertes.fr/hal-01662152

E. B. Davies, Lipschitz Continuity of Functions of Operators in the Schatten Classes, Journal of the London Mathematical Society, vol.2, issue.1, pp.148-157, 1988.
DOI : 10.1112/jlms/s2-37.121.148

G. Peter, T. K. Dodds, and . Dodds, On a submajorization inequality of T. Ando, Operator theory in function spaces and Banach lattices, pp.113-131, 1995.

1. 1. Ricard,

T. Fack and H. Kosaki, -measurable operators, Pacific Journal of Mathematics, vol.123, issue.2, pp.269-300, 1986.
DOI : 10.2140/pjm.1986.123.269

H. Kosaki, Applications of Uniform Convexity of Noncommutative L p -Spaces, Transactions of the American Mathematical Society, vol.283, issue.1, pp.265-282, 1984.
DOI : 10.2307/2000002

H. Kosaki, On the continuity of the map ?? ??? ?????? from the predual of a W???-algebra, Journal of Functional Analysis, vol.59, issue.1, pp.123-131, 1984.
DOI : 10.1016/0022-1236(84)90055-7

G. Pisier, Non-commutative vector valued Lp-spaces and completely p-summing maps, Astérisque, issue.247, p.131, 1998.

G. Pisier and R. , THE NON-COMMUTATIVE KHINTCHINE INEQUALITIES FOR, Journal of the Institute of Mathematics of Jussieu, vol.283, issue.05, pp.1103-1123, 2017.
DOI : 10.1007/BF01202902

URL : https://hal.archives-ouvertes.fr/hal-01662141

G. Pisier and Q. Xu, Non-commutative L p -spaces, Handbook of the geometry of Banach spaces, pp.1459-1517, 2003.

D. Potapov and F. Sukochev, Double Operator Integrals and Submajorization, Mathematical Modelling of Natural Phenomena, vol.1, issue.1, pp.317-339, 2010.
DOI : 10.2307/1969729

D. Potapov and F. Sukochev, Operator-Lipschitz functions in Schatten???von Neumann classes, Acta Mathematica, vol.207, issue.2, pp.375-389, 2011.
DOI : 10.1007/s11511-012-0072-8

D. Potapov, F. Sukochev, and A. Tomskova, On the Arazy conjecture concerning Schur multipliers on Schatten ideals, Advances in Mathematics, vol.268, pp.404-422, 2015.
DOI : 10.1016/j.aim.2014.09.021

Y. Raynaud, On ultrapowers of non commutative Lp spaces Hölder estimates for the noncommutative Mazur maps, J. Operator Theory Arch. Math, vol.48, issue.1041, pp.41-6837, 2002.

S. Ju, Rotfel'd. The singular values of the sum of completely continuous operators, pp.81-87, 1968.

S. Ju, Rotfel'd. Asymptotic behavior of the spectrum of abstract integral operators, Trudy Moskov. Mat. Ob??, vol.34, pp.105-128, 1977.

A. V. Sobolev, Functions of self-adjoint operators in ideals of compact operators, Journal of the London Mathematical Society, vol.4, issue.1-2, pp.157-176, 2017.
DOI : 10.1007/s00020-014-2185-2

M. Takesaki, Theory of operator algebras. I, volume 124 of Encyclopaedia of Mathematical Sciences Reprint of the first (1979) edition, Operator Algebras and Non-commutative Geometry, 2002.

M. Terp, L p -spaces associated with von Neumann algebras. Notes, 1981.

Q. Xu, Noncommutative Lp-spaces, 2011.

N. Univ, C. Unicaen, L. De-mathématiques, and N. Oresme, , 14000.