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Let T:X-Ybe a linear transformation, then Tex ts domain if and only if there is a real K>0, such that K|| x | < || Tr ||

Let T:X-Ybe a linear transformation, then Tex ts domain if and only if there is a real K>0, such that K|| x | < || Tr ||

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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Let T: X→→Y be a linear transformation, then Texis and continuous on its domain if and only if there is a real K>0, such that K|| x ||≤|| Tx|, X E X.
Transcribed Image Text:Let T: X→→Y be a linear transformation, then Texis and continuous on its domain if and only if there is a real K>0, such that K|| x ||≤|| Tx|, X E X.
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