(1) Let TE B(H) be a normal operator and H finite dimensional. If M is a vector subspace of H with TM SM then T M S M. (2) If T,T in B(H) and T, is a normal operator for every n e N then T is normal.
(1) Let TE B(H) be a normal operator and H finite dimensional. If M is a vector subspace of H with TM SM then T M S M. (2) If T,T in B(H) and T, is a normal operator for every n e N then T is normal.
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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Transcribed Image Text:(1) Let TE B(H) be a normal operator and H finite dimensional. If M is a vector subspace
of H with TM SM then T MS M.
(2) If T,T in B(H) and T, is a normal operator for every ne N then T is normal.
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