Linear Algebra Done Right · Problem 7C.9

Operators on Inner Product Spaces — Sheldon Axler

Mathematics — Linear Algebra · positive-operators

Problem

Suppose T∈L(V)T \in \mathcal{L}(V) is a positive operator and S∈L(W,V)S \in \mathcal{L}(W, V). Prove that S∗TSS^*TS is a positive operator on WW.

Related theory

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