6. If a subadditive functional p on a normed space X is continuous at ()and p(0) = 0, show that p is continuous for all x € X.

Given: A sub additive functional p on a normed space X is continuous at 0 and p0=0. To prove: p is…

Answered: If a subadditive functional p on a…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter6: Applications Of The Derivative

Section6.CR: Chapter 6 Review

Problem 3CR

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If a subadditive functional p on a normed space X is continuous at 0 and p(0) = 0, show that p is continuous for all x E X.