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If T is self-adjoint, then S*TS is self adjoint for all S; if S is invertible and S*TS is self-adjoint, then T is self-adjoint

If T is self-adjoint, then S*TS is self adjoint for all S; if S is invertible and S*TS is self-adjoint, then T is self-adjoint

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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If T is self-adjoint, then S*TS is self adjoint for all S; if S is invertible and S*TS is self-adjoint, then T is self-adjoint
Transcribed Image Text:If T is self-adjoint, then S*TS is self adjoint for all S; if S is invertible and S*TS is self-adjoint, then T is self-adjoint
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