Linear Operator $A$ and $B$ bounded if $(Ax,y) = (x,By)$?
2439
If a linear operator has an adjoint operator, it is bounded
158082
Is $\|A^n\|=\|A\|^n$ true for any normal operator in a Hilbert space?
55067
Norm of self-adjoint operator
152693
If $C|a$ and $C|b$ then $C|(ax+by)$
64955
Show that there are $ a,b \geq 0 $ so that $ |f(x)| \leq ax+b, \forall x \geq 0.$
90435
Prove that there exist linear functionals $L_1, L_2$ on $X$
95340
Locally bounded additive function is linear
9451
Show bounded and convex function on $\mathbb R$ is constant
37985
Show that $|x|^2 = |y|^2$ with $A$ orthogonal and $Ax = \cos (θ)x − \sin (θ)y$, $Ay = \sin (θ)x + \cos (θ) y$
71203
Proving that two systems of linear equations are equivalent if they have the same solutions
32606
Is the operator $T((x_1,x_2,...,x_n))=(x_1,\frac{x_2}2,\frac{x_3}3,...)$ on $\ell^2$ self-adjoint and unitary
24454
The relationship between the eigenvalues of matrices $XY$ and $YX$
17031
Idempotent linear operators are projections
110408
Solving for $A$ in $Ax = b$
123665
A question in Subspaces in linear algebra
31898
Sufficient conditions for $x, Ax, A^2x, ...$ being linearly indepedent
112428
Existence of least squares solution to $Ax=b$