Biblioteca de la Universidad Complutense de Madrid

Remarks on Interpolation Properties of Schatten Classes

Impacto

Cobos, Fernando y 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

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URL Oficial: http://blms.oxfordjournals.org/content/26/5/465.full.pdf+html




Resumen

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.


Tipo de documento:Artículo
Palabras clave:Aronszajn-Gagliardo Functors; Compact-Operators; Real
Materias:Ciencias > Matemáticas > Análisis numérico
Código ID:15338
Referencias:

J. BERGH and J. LOFSTROM, Interpolation spaces. An introduction (Springer, Berlin, 1976).

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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).

Depositado:24 May 2012 09:47
Última Modificación:06 Feb 2014 10:22

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