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3. Let A : →P be given by I1 12 0, 2' 22 In A(T1,..., In, ...) = In,...) 2n a) Prove that A is compact. b) Find the spectrum of A.

3. Let A : →P be given by I1 12 0, 2' 22 In A(T1,..., In, ...) = In,...) 2n a) Prove that A is compact. b) Find the spectrum of A.

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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3. Let A: P → P be given by In A(T1,..., Tn ...) = 0, 2' 22 %3D 2n a) Prove that A is compact. b) Find the spectrum of A.
Transcribed Image Text:3. Let A: P → P be given by In A(T1,..., Tn ...) = 0, 2' 22 %3D 2n a) Prove that A is compact. b) Find the spectrum of A.
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