Limit orders and multilinear forms on $l\sb p$ spaces.

CARANDO, DANIEL; DIMANT, VERÓNICA; SEVILLA-PERIS, PABLO

PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES

Año: 2006 vol. 42 p. 507 - 522

0034-5318

Since the concept of limit order is a useful tool tostudy operator ideals, we propose an analogous definition forideals of multilinear forms. From the limit orders of somespecial ideals (of nuclear, integral, $r$-dominated and extendiblemultilinear forms) we derive some properties of them and showdifferences between the bilinear and $n$-linear cases ($ngeq 3$).