Limit Orders and Multilinear Forms on Spaces
Daniel Carando
Universidad de Buenos Aires, ArgentinaVerónica Dimant
Universidad de San Andrés, Buenos Aires, ArgentinaPablo Sevilla-Peris
Universidad Politecnia de Valencia, Spain
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Abstract
Since the concept of limit order is a useful tool to study operator ideals, we propose an analogous definition for ideals of multilinear forms. From the limit orders of some special ideals (of nuclear, integral, -dominated and extendible multilinear forms) we derive some properties of them and show differences between the bilinear and -linear cases ().
Cite this article
Daniel Carando, Verónica Dimant, Pablo Sevilla-Peris, Limit Orders and Multilinear Forms on Spaces. Publ. Res. Inst. Math. Sci. 42 (2006), no. 2, pp. 507–522
DOI 10.2977/PRIMS/1166642113