Multivariate versions of Cochran's theorems
نویسندگان
چکیده
منابع مشابه
On linear versions of some addition theorems
Let K ⊂ L be a field extension. Given K-subspaces A,B of L, we study the subspace 〈AB〉 spanned by the product set AB = {ab | a ∈ A, b ∈ B}. We obtain some lower bounds on dimK〈AB〉 and dimK〈B 〉 in terms of dimK A, dimK B and n. This is achieved by establishing linear versions of constructions and results in additive number theory mainly due to Kemperman and Olson.
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ژورنال
عنوان ژورنال: Journal of Multivariate Analysis
سال: 1991
ISSN: 0047-259X
DOI: 10.1016/0047-259x(91)90011-p