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A Consider E = \R as a vector space. Show that: if and only if fixed real winber A function f: E → IR is a norm fus=klxl for all x€ E, for some fired real muber k>o.

A Consider E = \R as a vector space. Show that: if and only if fixed real winber A function f: E → IR is a norm fus=klxl for all x€ E, for some fired real muber k>o.

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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I Con sider E = IR as a vector space. Show that: A function f:E → IR is a fu) =klxl for oll xeE, for some fixed real ninber norm if and only if k>o.
Transcribed Image Text:I Con sider E = IR as a vector space. Show that: A function f:E → IR is a fu) =klxl for oll xeE, for some fixed real ninber norm if and only if k>o.
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