Find a linear operator $T:C[0,1]\to C[0,1]$ whose spectrum is a given interval $[a,b]$.
How can I find a continuous function whose spectrum is exactly the given interval $[a,b]$, spectrum just states that spectrum lies in disk $\leq \|T\|$
Find a linear operator $T:C[0,1]\to C[0,1]$ whose spectrum is a given interval $[a,b]$.
How can I find a continuous function whose spectrum is exactly the given interval $[a,b]$, spectrum just states that spectrum lies in disk $\leq \|T\|$
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