Cobos, FernandoFernández-Cabrera, Luz M.Martínez, Antón2023-06-172023-06-172021[1]Á. Bényi, R.H. Torres, Compact bilinear operators and commutators, Proc. Am. Math. Soc. 141 (2013) 3609–3621.[2]J. Bergh, J. Löfström, Interpolation Spaces. An Introduction, Springer, Berlin, 1976. [3]B.F. Besoy, F. Cobos, Interpolation of the measure of non-compactness of bilinear operators among quasi-Banach spaces, J. Approx. Theory 243 (2019) 25–44. [4]A.P. Calderón, Intermediate spaces and interpolation, the complex method, Stud. Math. 24 (1964) 113–190. [5]B. Carl, I. Stephani, Entropy, Compactness and the Approximation of Operators, Cambridge Univ. Press, Cambridge, 1990. [6]F. Cobos, L.M. Fernández-Cabrera, A. Martínez, Interpolation of compact bilinear operators among quasi-Banach spaces and applications, Math. Nachr. 291 (2018) 2168–2187. [7]F. Cobos, L.M. Fernández-Cabrera, A. Martínez, On compactness results of Lions-Peetre type for bilinear operators, Nonlinear Anal. 199 (2020) 111951. [8]F. Cobos, L.M. Fernández-Cabrera, A. Martínez, A compactness results of Janson type for bilinear operators, J. Math. Anal. Appl. 495 (2021) 124760. [9]F. Cobos, P. Fernández-Martínez, A. Martínez, Interpolation of the measure of non-compactness by the real method, Stud. Math. 135 (1999) 25–38. [10]D.E. Edmunds, W.D. Evans, Spectral Theory and Differential Operators, Clarendon Press, Oxford, 1987.[11]D.L. Fernández, E.B. da Silva, Interpolation of bilinear operators and compactness, Nonlinear Anal. 73 (2010) 526–537. [12]L.M. Fernández-Cabrera, A. Martínez, On interpolation properties of compact bilinear operators, Math. Nachr. 290 (2017) 1663–1677. [13]L.M. Fernández-Cabrera, A. Martínez, Real interpolation of compact bilinear operators, J. Fourier Anal. Appl. 24 (2018) 1181–1203. [14]P. Fernández-Martínez, Interpolation of the measure of non-compactness between quasi-Banach spaces, Rev. Mat. Complut. 19 (2006) 477–498. [15]S. Janson, On interpolation of multilinear operators, in: Function Spaces and Applications, in: Lect. Notes in Math., vol. 1302, Springer, 1988, pp. 290–302. [16]G.E. Karadzhov, The interpolation method of “means” for quasinormed spaces, Dokl. Akad. Nauk SSSR 209 (1973) 33–36.[17]H. König, Interpolation of operator ideals with an application to eigenvalue distribution problems, Math. Ann. 233 (1978) 35–48. [18]J.-L. Lions, J. Peetre, Sur une classe d’espaces d’interpolation, Publ. Math. IHÉS 19 (1964) 5–68. [19]M. Mastyło, On interpolation of bilinear operators, J. Funct. Anal. 214 (2004) 260–283. [20]M. Mastyło, Bilinear interpolation theorems and applications, J. Funct. Anal. 265 (2013) 185–207. [21]M. Mastyło, E.B. Silva, Interpolation of the measure of non-compactness of bilinear operators, Trans. Am. Math. Soc. 370 (2018) 8979–8997. [22]M. Mastyło, E.B. Silva, Interpolation of compact bilinear operators, Bull. Math. Sci. 10 (2020) 2050002.[23]J. Peetre, Remark on the dual of an interpolation space, Math. Scand. 34 (1974) 124–128. [24]M.S. Ramanujan, E. Schock, Operator ideals and spaces of bilinear operators, Linear Multilinear Algebra 18 (1985) 307–318. [25]M. F. Teixeira, D.E. Edmunds, Interpolation theory and measure of non-compactness, Math. Nachr. 104 (1981) 129-135. [26]R.H. Torres, Q.Y. Xue, J. Yan, Compact bilinear commutators: the quasi-Banach space case, J. Anal. 26 (2018) 227–234. [27]H. Triebel, Interpolation Theory, Function Spaces, Differential Operators, North-Holland, Amsterdam, 1978.0022-247X10.1016/j.jmaa.2021.125376https://hdl.handle.net/20.500.14352/8227We complete the range of the parameters in the interpolation formula established by Mastyło and Silva for the measure of non-compactness of a bilinear operator interpolated by the real method.engOn the interpolation of the measure of non-compactness of bilinear operators with weak assumptions on the boundedness of the operatorjournal articlehttps://doi.org/10.1016/j.jmaa.2021.125376https://www.sciencedirect.com/science/article/pii/S0022247X21004558open access517.98Bilinear operatorsMeasure of non-compactnessDuality for bilinear operatorsReal interpolationAnálisis funcional y teoría de operadores