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suggested suggested edit on An analytic characterization of eigenvalues of a Hermitan matrix.
Nov
23
comment Largest and smallest eigenvalues of a hermitian matrix
May be you can also help at this related question, mathoverflow.net/questions/187850/…
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accepted An argument from a blog article of Terence Tao
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comment An argument from a blog article of Terence Tao
Thanks! Firstly are your ellipsis in the wrong place in the last line? Secondly, hows does the positive-definiteness of the skew-adjoint part follow from what you said? [..I believe that a matrix $A$ is called positive-definite if $x^\dagger A x >0$ for all vectors $x \neq 0$ - right?..] Then you say that this skew-adjoint form satisfies this and the self-adjoint form also satisfies this trivially? Is it? (all because of the "z" term that the semi-definiteness of the $A_i$s get lifted to positive-definiteness of the $A$ - right?)
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asked An argument from a blog article of Terence Tao
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asked Is there a general expression for the adjoint representation of $U(N)$ or $u(N)$?
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revised Solving a formal power series equation
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revised Solving a formal power series equation
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