Abstract
We extend the notion of completely rank-nonincreasing (CRNI) linear maps to include the multilinear maps. We show that a bilinear map on a finite-dimensional vector space on any field is CRNI if and only if it is a skew-compression bilinear map. We also characterize CRNI continuous bilinear maps defined on the set of compact operators.
Citation
Hassan Yousefi. "Completely rank-nonincreasing multilinear maps." Banach J. Math. Anal. 12 (2) 481 - 496, April 2018. https://doi.org/10.1215/17358787-2017-0058
Information
