Measure, Integration & Real Analysis · Problem 10A.2

Linear Maps on Hilbert Spaces — Sheldon Axler

Mathematics — Measure Theory · adjoint-inclusion-map

Problem

Suppose

V

is a Hilbert space,

U

is a closed subspace of

V

, and

T: U \to V

is defined by

Tf = f

. Describe the linear operator

T^*: V \to U