multilinear form

名词 n.

中文释义

英文释义

名词 n.

Given a vector space V over a field K of scalars, a mapping Vᵏ → K that is linear in each of its arguments;

— 1985, Jack Peetre, Paracommutators and Minimal Spaces, S. C. Power (editor) Operators and Function Theory, Kluwer Academic (D. Reidel), page 163, Finally, in the short Lecture 5 we make some remarks on multilinear forms over Hilbert spaces, a theory which is still in a rather embryonic state, motivated by the observation that paracommutators (and Hankel operators too) really should be viewed as forms, not operators.
Given a vector space V over a field K of scalars, a mapping Vᵏ → K that is linear in each of its arguments; (more generally) a similarly multiply linear mapping Mʳ → R defined for a given module M over some commutative ring R.; a similarly multiply linear mapping Mʳ → R defined for a given module M over some commutative ring R. broadly

multilinear forms plural

近义词

multicovector

下位词

bilinear form covector linear form

衍生词

alternating multilinear form multilinear k-form