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In each case suppose R" has the norm |z|| = max {ril. . 1}. Prove each of the set inclusions: (a) Ba(1) C Ba(0) in R (b) B2(1, 1) C Ba(1,0) in R (c) B(3,0,-2) C B,(1, 1, -1) in R (d) Ba(1,0,0,0) S B,(0,0,-1, 1) in R'.

In each case suppose R" has the norm |z|| = max {ril. . 1}. Prove each of the set inclusions: (a) Ba(1) C Ba(0) in R (b) B2(1, 1) C Ba(1,0) in R (c) B(3,0,-2) C B,(1, 1, -1) in R (d) Ba(1,0,0,0) S B,(0,0,-1, 1) in R'.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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3. In each case suppose R" has the norm |||| inclusions: = max {ril,., r.}. Prove each of the set (a) B3(1) C Ba(0) in IR (b) B2(1, 1) C B3(1,0) in R? (c) B,(3,0,-2) C B,(1, 1,-1) in R (d) B(1,0,0,0) C B(0,0,-1, 1) in R'.
Transcribed Image Text:3. In each case suppose R" has the norm |||| inclusions: = max {ril,., r.}. Prove each of the set (a) B3(1) C Ba(0) in IR (b) B2(1, 1) C B3(1,0) in R? (c) B,(3,0,-2) C B,(1, 1,-1) in R (d) B(1,0,0,0) C B(0,0,-1, 1) in R'.
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