3. In the notation of Problem 2, suppose that V is a Banach space with respect to the norm || |v and W is a Banach space with respect to the norm || ||w. Show that V x W is a Banach space with respect to the norm || ||.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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13. In the notation of Problem 2, suppose that V is a Banach space with respect to the norm || - ||v and
W is a Banach space with respect to the norm || - ||w. Show that V x W is a Banach space with
respect to the norm ||· ||.
Transcribed Image Text:13. In the notation of Problem 2, suppose that V is a Banach space with respect to the norm || - ||v and W is a Banach space with respect to the norm || - ||w. Show that V x W is a Banach space with respect to the norm ||· ||.
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