New posts in Self Adjoint Operators

inequality for positive contraction operator

What is wrong with this proof that symmetric matrices commute?

Calculate the operator norm of $A: L^2[0,1] \to L^2[0,1]$ defined by $(Af)(x):=i\int_0^x f(t)\,dt-\frac{i}{2} \int_0^1 f(t) \,dt$

Is every self-adjoint operator bounded?