6-11 M: K Let an nxn diagonal matrix diag(k₁,..., kn) define a linear map → K" as in 6.7(a). Then for 1 ≤p ≤ 00, ||Mp =

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6 11 M K Let An Nxn Diagonal Matrix Diag K Kn Define A Linear Map K As In 6 7 A Then For 1 P 00 Mp 1 (33.61 KiB) Viewed 58 times

6-11 M: K Let an nxn diagonal matrix diag(k₁,..., kn) define a linear map → K" as in 6.7(a). Then for 1 ≤p ≤ 00, ||Mp = max{|k₁|: i = 1,...,n}. 6-12 Let M = (kij) be an infinite matrix with scalar entries whose every column has only a finite number of nonzero entries. Then M defines a linear map from coo to coo. Also, ||M|1 = a₁ and ||M|| = doo, where a₁ and a.. are as defined in 6.5(c).