The operator-ideals tag has no wiki summary.

**5**

votes

**0**answers

195 views

### Second duals of Grothendieck spaces

The classical example of a Grothendieck space is $\ell_\infty$. It is also known that its even duals $\ell_\infty^{**}$, $\ell_\infty^{(4)}$, $\dots$ are Grothendieck spaces.
(See, e.g., ...

**1**

vote

**1**answer

170 views

### Are these ideals in rings of operators on Hilbert space unique?

Suppose that, for every Hilbert space $H$, we have a subset $I(H) \subseteq B(H)$ of bounded linear operators on $H$, and that together all $I(H)$ form a two-sided ideal, in the sense that whenever $h ...

**3**

votes

**2**answers

340 views

### Factorization through $\ell_{1}$ and operator ideals

Recently, I bumped into the class of operators that factor through $\ell_{1}(X)$ for some set $X$. For now, $X$ is a set with arbitrary cardinality but if it leads to a more concrete answer to my ...