# Christopher Felder: Units for Forward Operator Monoids

**Time: **
Wed 2023-08-09 11.00 - 12.00

**Location: **
Albano, Cramérrummet

**Participating: **
Christopher Felder (Bloomington, USA)

**Abstract.**

This talk will introduce a forward operator monoid— a discrete collection of bounded linear operators acting on a separable Hilbert space, which contains the identity, and has a strict monoid structure. We will then discuss generalized inner and cyclic vectors for these monoids, with a focus on vectors which are both inner a cyclic, which we will call units. Time permitting, we will connect this to some interesting open problems in analysis, including some completeness and approximation problems.