Annales Academić Scientiarum Fennicć
Mathematica
Volumen 38, 2013, 341-350

EXTRAPOLATION PROPERTIES OF CLOSED OPERATOR IDEALS

Luz M. Fernández-Cabrera and Antón Martínez

Universidad Complutense de Madrid, Departamento de Matemática Aplicada
28040 Madrid, Spain; luz_fernandez-c 'at' mat.ucm.es

Universidad de Vigo, Departamento de Matemática Aplicada I
36200 Vigo, Spain; antonmar 'at' uvigo.es

Abstract. We investigate the extrapolation properties of operator ideals A whose components A(E,F) are closed subspaces of L(E,F). In particular, results apply to weakly compact operators, Banach-Saks operators, Rosenthal operators and Asplund operators.

2010 Mathematics Subject Classification: Primary 47L20, 46B70, 47B10.

Key words: Closed operator ideals, weakly compact operators, extrapolation of operators, logarithmic spaces.

Reference to this article: L.M. Fernández-Cabrera and A. Martínez: Extrapolation properties of closed operator ideals. Ann. Acad. Sci. Fenn. Math. 38 (2013), 341-350.

Full document as PDF file

doi:10.5186/aasfm.2013.3821