- #1

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This is suppose to be an easy question but i'm not sure where to start.

I know that self-adjoint is (B*=B) and skew is (C*=-C) but can someone show this?

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- Thread starter braindead101
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- #1

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This is suppose to be an easy question but i'm not sure where to start.

I know that self-adjoint is (B*=B) and skew is (C*=-C) but can someone show this?

- #2

morphism

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Hint: A+A* is self-adjoint. Can you find a similar expression that's skew? Then what?

- #3

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A-A* is skew

so A = B+B* + C-C*?

so A = B+B* + C-C*?

- #4

morphism

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What are B and C?

- #5

HallsofIvy

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A-A* is skew

so A = B+B* + C-C*?

Okay, you know that A+ A* is self-adjoint and that A- A* is skew. Your second sentence is non-sense because you have not defined B and C. A is the only operator you have! Your answer must be entirely in terms of A.

- #6

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ohh, so B can be rewritten as A+A*, and C can be rewritten as A-A*?

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