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.
متن کاملIdeal versions of some combinatorial results
We characterize ideals of subsets of natural numbers for which some versions of Ramsey’s theorem and Schur’s theorem hold. These are similar to generalizations shown by Frankl, Graham and Rödl in [6]. We show that, in some sense, Ramsey’s theorem, theorem of Bolzano-Weierstrass and “monotone subsequence” theorem characterize the same class of ideals.
متن کاملSome subrecursive versions of Grzegorczyk's Uniformity Theorem
A theorem published by A. Grzegorczyk in 1955 states a certain kind of effective uniform continuity of computable functionals that transform systems of total functions in the set of the natural numbers and of natural numbers into natural numbers. Namely, for any such functional a computable functional with one function-argument and the same number-arguments exists such that the values of the fi...
متن کاملStability of some versions of the Prékopa-Leindler inequality
Two consequences of the stability version of the one dimensional Prékopa-Leindler inequality are presented. One is the stability version of the Blaschke-Santaló inequality, and the other is a stability version of the Prékopa-Leindler inequality for even functions in higher dimensions, where a recent stability version of the Brunn-Minkowski inequality is also used in an essential way. 1 The prob...
متن کاملsome properties of fuzzy hilbert spaces and norm of operators
in this thesis, at first we investigate the bounded inverse theorem on fuzzy normed linear spaces and study the set of all compact operators on these spaces. then we introduce the notions of fuzzy boundedness and investigate a new norm operators and the relationship between continuity and boundedness. and, we show that the space of all fuzzy bounded operators is complete. finally, we define...
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ژورنال
عنوان ژورنال: BMJ
سال: 1994
ISSN: 0959-8138,1468-5833
DOI: 10.1136/bmj.309.6949.215