(8) If Te B(H) and T*T is an idempotent then TT* is also an idempotent.
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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(just prove number 8 and 11)
Transcribed Image Text:(8) If Te B(H) and T*T is an idempotent then TT* is also an idempotent.
(9) Suppose that H = MOM and T e B(H) represented as
[A 0
0 в
Show that T = max{||A||, |B|}.
(10) Suppose that H = MOM and TE B(H) represented as
0 A
в о
Show that T = max{||A||, ||B|}.
WOT
SOT
(11) If T T;
0 then T
0.
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