New posts in self-adjoint-operators

$\|T\| \leq\|T\|_{0}^{1 / 2}\left\|T^{*}\right\|_{0}^{1 / 2}$ for compact operators on Hilbert spaces.

functional-analysis operator-theory hilbert-spaces compact-operators self-adjoint-operators

Infinite-dimensional inner product space: if $A \geq 0$ and if $\langle Ax, x\rangle = 0$ for some $x$, then $Ax = 0$.

operator-theory inner-products adjoint-operators self-adjoint-operators

What is the correct formula of the kernel of the A$^*$A

functional-analysis self-adjoint-operators integral-operators

Why does positive definite guarantee uniqueness? (Peter J Olver PDE book chapter 9)

partial-differential-equations linear-transformations positive-definite self-adjoint-operators

Can we apply quadratic optimization in complex inner product spaces?

partial-differential-equations positive-definite self-adjoint-operators

What is wrong with this proof that symmetric matrices commute?

linear-algebra proof-verification fake-proofs symmetric-matrices self-adjoint-operators