Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Kunze Linear Algebra
· Problem 8.5.7
Inner Product Spaces
Mathematics — Methods · positive-unitary-operators
Problem
Let
T
T
T
be a linear operator on the finite-dimensional inner product space
V
V
V
, and suppose
T
T
T
is both positive and unitary. Prove
T
=
I
T = I
T
=
I
.
Related theory
Positive Operators And Square Roots
Browse the problem library