Cobos Díaz, Fernando and García-Davía, María Antonia (1994) Remarks on Interpolation Properties of Schatten Classes. Bulletin of the London Mathematical Society, 26 (5). pp. 465-471. ISSN 0024-6093
![[img]](/style/images/fileicons/application_pdf.png) | PDF Restricted to Repository staff only until 2020. 438Kb |
Official URL: http://blms.oxfordjournals.org/content/26/5/465.full.pdf+html
Abstract
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Aronszajn-Gagliardo Functors; Compact-Operators; Real |
| Subjects: | Sciences > Mathematics > Numerical analysis |
| ID Code: | 15338 |
| References: | 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). |
| Deposited On: | 24 May 2012 11:47 |
| Last Modified: | 24 May 2012 11:47 |
Repository Staff Only: item control page
