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SOLVED: Let T: H -> H be a bounded linear self-adjoint operator on a Hilbert space H. Show that Uti sup |(x,Tx)| ≤ ||T||, where ||x||=1.
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![SOLVED: Let M:[a, b] →𝐑^n × m be a continuous n × m-matrix-valued function, and let X=C([a, b], 𝐑^m) and Z=C([a, b], 𝐑^n) endowed with the supremum norm. Define the linear operator](https://cdn.numerade.com/ask_images/4220f30cdd514d8b9bd7a7fcf5767c5f.png "SOLVED: Let M:[a, b] →𝐑^n × m be a continuous n × m-matrix-valued function, and let X=C([a, b], 𝐑^m) and Z=C([a, b], 𝐑^n) endowed with the supremum norm. Define the linear operator")