RT Journal Article T1 On interpolation of the measure of noncompactness A1 Cobos, Fernando A1 Fernández-Cabrera, Luz M. A1 Martínez, Antón AB We revised the known results on interpolation of the measure of noncompactness and we announce a new approach to establishing the interpolation formula for the real method. PB Estonian Academy Publishers SN 1406-0086 YR 2006 FD 2006 LK https://hdl.handle.net/20.500.14352/50769 UL https://hdl.handle.net/20.500.14352/50769 LA eng NO Bergh, J. and Löfström, J. Interpolation Spaces. An Introduction. Springer, Berlin, 1976.Triebel, H. Interpolation Theory, Function Spaces, Differential Operators. North-Holland, Amsterdam, 1978.Cobos, F., Manzano, A. and Martínez, A. Interpolation theory and measures related to operator ideals. Quart. J. Math., 1999, 50, 401–416.Cobos, F. and Martínez, A. Remarks on interpolation properties of the measure of weak non-compactness and ideal variations. Math. Nachr., 1999, 208, 93–100.Cobos, F., Fernández-Martínez, P. and Martínez, A. Interpolation of the measure of noncompactness by the real method. Studia Math., 1999, 135, 25–38.Schechter, M. Principles of Functional Analysis. American Mathematical Society,Providence, 2002.Cobos, F., Edmunds, D. E. and Potter, A. J. B. Real interpolation and compact linear operators. J. Funct. Anal., 1990, 88, 397–401.Cobos, F. and Fernandez, D. L. On interpolation of compact operators. Ark. Mat., 1989, 27, 211–217.Cobos, F. and Peetre, J. Interpolation of compactness using Aronszajn–Gagliardo functors. Israel J. Math., 1989, 68, 220–240.Cobos, F., Kühn, T. and Schonbek, T. One-sided compactness results for Aronszajn–Gagliardo functors. J. Funct. Anal., 1992, 106, 274–313.Teixeira, M. F. and Edmunds, D. E. Interpolation theory and measure of non-compactness. Math. Nachr., 1981, 104, 129–135.Cobos, F., Fernández-Cabrera, L. M. and Martínez, A. Abstract K and J spaces and measure of non-compactness. Math. Nachr. (to appear).Nilsson, P. Reiteration theorems for real interpolation and approximation spaces. Ann. Mat. Pura Appl., 1982, 132, 291–330. NO Ministry of Education and Science of Spain NO CAM-UCM DS Docta Complutense RD 3 may 2024