Measure, Integration & Real Analysis · Problem 10A.3

Linear Maps on Hilbert Spaces — Sheldon Axler

Mathematics — Measure Theory · adjoint-rank-one-operator

Problem

Suppose

V

and

W

are Hilbert spaces and

g \in V

h \in W

. Define

T \in \mathcal{B}(V, W)

Tf = \langle f, g \rangle h

. Find a formula for

T^*