show that a bounded Lineart on a complex Hilbert spase H is normal (i-eTT* = T*T) if and only if 11+ * (~)||-||+(x) || for all xeH-using That for a normal operator ||7²|1=117|1² this to show

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.2: Graphs Of Equations
Problem 78E
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show that a bounded Lineart on a complex Hilbert
spase H is normal (i-eTT*= T*T) if and
if
only
||+* (~)||-||+(x) || for all neH-using
this to show
That for a normal operator ||T² || = ||T||²
X
Wat
Transcribed Image Text:show that a bounded Lineart on a complex Hilbert spase H is normal (i-eTT*= T*T) if and if only ||+* (~)||-||+(x) || for all neH-using this to show That for a normal operator ||T² || = ||T||² X Wat
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