Linear Algebra Done Right · Problem 7C.7

Operators on Inner Product Spaces — Sheldon Axler

Mathematics — Linear Algebra · positive-operators

Problem

Suppose S∈L(V)S \in \mathcal{L}(V) is an invertible positive operator and T∈L(V)T \in \mathcal{L}(V) is a positive operator. Prove that S+TS + T is invertible.

Related theory

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