Linear Algebra Done Right · Problem 7A.16

Operators on Inner Product Spaces — Sheldon Axler

Mathematics — Linear Algebra · self-adjoint-operators

Problem

Suppose

\mathbf{F} = \mathbf{R}

. (a) Show that the set of self-adjoint operators on

V

is a subspace of

\mathcal{L}(V)

. (b) What is the dimension of the subspace of

\mathcal{L}(V)

in (a) [in terms of

\dim V