Some notes about adjoints. Closed ranges. The Hahn-Banach theorem

19 Outubro 2017, 16:00 Luís Fernando Sanchez Rodrigues

Notes about adjoints: in a complex Hilbert space, sel-adjointness of A is equivalent to Ax.x to be real for all x.

The closure of the range of A is the ortogonal of the kernel of A*.
A condition for the closure of the range of an operator in Banach spaces.
The abstract Hahn Banach theorem.