Saturday, 19 December 2015

functional analysis - Determine |A| when we consider the norms |cdot|1=|cdot|infty.


Let M a matrix of m×n. Consider A as a linear map of KnKm. Determine A when we consider the norms 1 and in Kn and Km, respect.





I have the following questions:



First of all, the linear map A:KnKm has a explicit form?.



Second, how I understand the 1-norm and the infinite norm for a matrix of side m×n??



Can help me in this problem, I try use cauchy inq. thanks!!

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