### A survey (another one!) on dilation theory

#### by Orr Shalit

I recently uploaded to the arxiv my new survey “Dilation theory: a guided tour“. I am pretty happy and proud of the result! Right now I feel like it is the best survey ever written (honest, that’s how I feel, I know that its an illusion), but experience tells me that two months from now I might be a little embarrassed (like: *how could I be so vain to think that I could pull of a survey on this gigantic topic?*).

(Well, these are the usual highs and lows of being a mathematician, but since this is a survey paper and not a research paper, I feel comfortable enough to share these feelings).

This survey was submitted (and will hopefully appear in) to the Proceedings of the International Workshop on Operator Theory and its Applications (IWOTA) 2019, Portugal. It is an expanded version of the semi-plenary talk that I gave in that conference. I used a preliminary version of this survey as lecture notes for the mini-course that I gave at the recent workshop “Noncommutative Geometry and its Applications” at NISER Bhubaneswar.

I hope somebody finds it useful or entertaining 🙂

I definitely plan to read it. As I have read all of your surveys so far !

Best,

Adam.

Thanks for the kinds words, Adam.

[…] of “dilation theory”, which was the topic of the survey that I advertised in the previous blog post. (Some applications of dilations are discussed in Section 8.3 of the […]