Question
Two norms ||-||, and ||-||, on a vector space V are said to be equivalent if there exist two positive constants c and C
Two norms ||-||, and ||-||, on a vector space V are said to be equivalent if there exist two positive constants c and C such that, (1) c|||||||| C |||| for all x EV If the vector space V is R" show that, the norms |||||||| and ||-||2 are equivalent. More precisely, show that, the following inequalities hold: b) |||| n x |||| for all x ER
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Applied Linear Algebra
Authors: Peter J. Olver, Cheri Shakiban
1st edition
131473824, 978-0131473829
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