Show that trace is a unique linear functional
29583
Characterization of the trace function
32611
Is the trace of inverse matrix convex?
44371
Finding trace and determinant of linear operator
108329
If $T\alpha=c\alpha$, then there is a non-zero linear functional $f$ on $V$ such that $T^{t}f=cf$
95340
Locally bounded additive function is linear
42638
Showing that a function $f$ has a unique fixed point in a metric space.
20467
Show that $(y_n)\in l^q$
144104
Show that a positive operator on a complex Hilbert space is self-adjoint
145157
Coordinate-Free Definition of Trace.
149564
Showing that a function is in $L^1$
76110
Proving that the zero vector is unique
86284
A typical $L^p$ function does not have a well-defined trace on the boundary
93121
How to prove there exists a linear transformation?
19424
Showing $(M^\perp)^\perp=\overline{M}$
26183
Prob. 9, Sec. 4.3 in Kreyszig's Functional Analysis Book: Proof of the Hahn Banach Theorem without Zorn's Lemma
101631
Determinant of a finite-dimensional matrix in terms of trace
53528
If $\ker f\subset \ker g$ where $f,g $ are non-zero linear functionals then show that $f=cg$ for some $c\in F$.