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Yousefi, Hassan

Completely rank-nonincreasing multilinear maps. (English) Zbl 1496.47087

Banach J. Math. Anal. 12, No. 2, 481-496 (2018).
Summary: 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.

MSC:

47H60 Multilinear and polynomial operators

Keywords:

rank nonincreasing; completely rank nonincreasing; multilinear maps; bilinear maps
PDFBibTeX XMLCite
\textit{H. Yousefi}, Banach J. Math. Anal. 12, No. 2, 481--496 (2018; Zbl 1496.47087)
Full Text: DOI Euclid

References:

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