RT Journal Article T1 Remarks on Interpolation Properties of Schatten Classes A1 Cobos, Fernando A1 García-Davía, María Antonia AB We show that the behaviour under interpolation of 5x-class operators is not as good as it was supposed to be. An interpolation formula for Hilbert-Schmidt operators is also established. PB Cambridge Univ. Press SN 0024-6093 YR 1994 FD 1994 LK https://hdl.handle.net/20.500.14352/57273 UL https://hdl.handle.net/20.500.14352/57273 LA eng NO J. BERGH and J. LOFSTROM, Interpolation spaces. An introduction (Springer, Berlin, 1976).F. COBOS, D. E. EDMUNDS and A. J. B. POTTER, 'Real interpolation and compact linear operators', J. Funct. Anal. 88 (1990) 351-365.F. COBOS, T. KUHN and T. SCHONBEK, 'One-sided compactness results for Aronszajn-Gagliardo functors', / . Funct. Anal. 106 (1992) 274-313.F. COBOS and J. PEETRE, 'Interpolation of compactness using Aronszajn-Gagliardo functors', Israel J. Math. 68 (1989) 220-240.F. COBOS and J. PEETRE, 'Interpolation of compact operators: the multidimensional case', Proc. London Math. Soc. 63 (1991) 371-400.M. CWIKEL, 'Real and complex interpolation and extrapolation of compact operators', Duke Math.A. FAVINI, 'Sulla interpolazione di operatori compatti', Rend. Sem. Mat. Univ. Padova 45 (1971) 279-304.C. GAPAILLARD, 'Un resultat de compacite pour Interpolation de couples hilbertiens', C. R. Acad. Sci. Paris Se'r. A 278 (1974) 681-684.H. KONIG, Eigenvalue distribution of compact operators (Birkhauser, Basel, 1986).A. PIETSCH, ' Gegenbeispiele zur Interpolationstheorie der nuklearen und absolut-summierenden Operatoren', Arch. Math. 20 (1969) 65-71.A. PIETSCH, Eigenvalues and s-numbers (Cambridge University Press, 1987).H. TRIEBEL, Interpolation theory, function spaces, differential operators (North-Holland, Amsterdam,1978). NO DGICYT NO US-Spain Joint Committee for Cultural and Educational Cooperation DS Docta Complutense RD 8 may 2024