Newbetuts

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

The set of all normal operators on a Hilbert space is not strongly closed

What is the use of Spectral Theorem?

Prove that for the series $\sum_{n \in \mathbb{N}}|\zeta_n\mu_n|$ to be convergent for all $\zeta \in l^p \implies \mu \in l^q$

Trace of non-negative self-adjoint integral operator

Sturm-Liouville problem and periodic boundary conditions

Semi-group theory and Poisson equation on the upper half plane

Laurent Series of operator-value function

Precedence of cross product and dot product

$P+Q-PQ$ is a projection if and only if $PQ=QP$.

There are compact operators that are not norm-limits of finite-rank operators

Trace class for operators

Linear operators with no adjoint

Ways to calculate the spectrum of an operator

The set of self-adjoint operators over a Hilbert space doesn't form a lattice

Absolutely continuous spectrum invariant under unitary equivalence

New posts in operator-theory

Is there a non-multiplication operator on $L^2([0,1])$?

In a C-algebra, put $a^a \sim aa^*$. Transitivity fails?

Isometry on a dense sub-space of a Banach space?

"bounding" an unbounded operator

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

The set of all normal operators on a Hilbert space is not strongly closed

What is the use of Spectral Theorem?

Prove that for the series $\sum_{n \in \mathbb{N}}|\zeta_n\mu_n|$ to be convergent for all $\zeta \in l^p \implies \mu \in l^q$

Trace of non-negative self-adjoint integral operator

Sturm-Liouville problem and periodic boundary conditions

Semi-group theory and Poisson equation on the upper half plane

Laurent Series of operator-value function

Precedence of cross product and dot product

$P+Q-PQ$ is a projection if and only if $PQ=QP$.

There are compact operators that are not norm-limits of finite-rank operators

Trace class for operators

Linear operators with no adjoint

Ways to calculate the spectrum of an operator

The set of self-adjoint operators over a Hilbert space doesn't form a lattice

Absolutely continuous spectrum invariant under unitary equivalence