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MATRIX ANALYSIS TO ADDITIVE SCHWARZ METHODS
2007/12/11
Matrix analysis on additive Schwarz methods as preconditioners is given
in this paper. Both cases of with and without coarse mesh are
considered. It is pointed out that an advantage of matrix analys...
CAUCHY-RASSIAS STABILITY OF CAUCHY-JENSEN ADDITIVE MAPPINGS IN BANACH SPACES
Cauchy additive mapping Jensen additive mapping Cauchy--Rassias stability isomorphism between Banach algebra
2007/12/11
Let $X, Y$ be vector spaces. It is shown that if a mapping $f : X \rightarrow Y$ satisfies $$\align &f\bigg(\frac{x+y}{2}+z\bigg) + f\bigg(\frac{x-y}{2}+z\bigg) = f(x)+2f(z) , \tag 0.1 \&f\bigg(\frac{...
ON THE ADDITIVE GROUP STRUCTURE OF NONSTANDARD MODELS OF Z
ADDITIVE GROUP NONSTANDARD MODELS OF Z
2010/3/17
Let \hat{Z} denote the inverse limit of finite cyclic groups and FgZ the group times Z, +> where F is a vector space over Q and + is defined by (a, x)+(b, y)=(a+b, x+y+g(a,b)) for some g: F\times F...