Prove Operator Norm is a Norm on linear space
97158
Prove that the operator norm is a norm
17336
Least norm in convex set in Banach space
17031
Idempotent linear operators are projections
81229
Show that $(C([a,b]),\|{\cdot}\|_2)$ is not a complete normed vector space
127248
Norm and unit sphere
88535
Relation between the distance from a point to the resolvent set of a self-adjoint operator and the norm of a related operator
62590
Show norm preserving property and determine Eigenvalues
109632
Show reflexive normed vector space is a Banach space
94077
Proof of linear independence of $e^{at}$
139272
On the norm of a quotient of a Banach space.
72240
Prove that if a linear operator is continuous, then it is bounded.
73406
Prove that $E_{\lambda}(T)=E_{\lambda^{-1}}(T^{-1})$ if $T$ is an invertible linear operator on a finite dimensional vector space $V$
22689
Reference for trace/norm inequality
98759
Proof of "Dual normed vector space is complete"
154762
Dual space of a finite dimensional normed space
154226
Upper bound for norm of Hilbert space operator
143869
Showing that the norm of the canonical projection $X\to X/M$ is $1$