New posts in operator-theory

What are the Eigenvectors of the curl operator?

Does the identity $\cos^2(x)+\sin^2(x)=1$ hold in a unital Banach algebra where $1$ is the unit?

When is an operator on $\ell_1$ the dual of an operator on $c_0$?

If the expectation $\langle v,Mv \rangle$ of an operator is $0$ for all $v$ is the operator $0$?

Criteria of compactness of an operator

Convergence of $A_nT$ to $AT$ in operator norm for compact $T$

Given $S \in B(Y^{*}, X^{*})$, does there exist $T\in B(X,Y)$ such that $S=T^{*}$?

Blackwell's condition for a contraction: Why is boundedness neccessary?

How to show the solution so this Fredholm integral is unique?

operator exponential

Let $b=(b_n)$ be a real sequence, suppose that for any $a\in\ell^2$, $\sum_j a_j b_j<\infty$, then $b\in\ell^2$. [duplicate]

Show that $(x_n)$ is in $\ell^2$

Renorming $\mathcal{B}(\mathcal{H})$?

Is the product rule true in a Banach algebra?

Why does exponentiating the derivative yield the shift operator?

Fredholm operator norm

Integral representation for $\log$ of operator

Spectrum of the derivative operator

$ U $ is self-adjoint then $\|U\|= sup_{\|x\|\leq 1} |<Ux,x>|.$ [duplicate]

Spectral radius of the Volterra operator