Noncommutative Analysis

Month: October, 2019

Boris Paneah (1936-2019)

Last Thursday (10.10.2019) my beloved teacher and master’s thesis advisor Boris Paneah passed away. Boris was a great mathematician who worked most of his career on PDEs and harmonic analysis. In the last decade of his mathematical activity, he founded a new direction in the theory of functional equations, using dynamical methods. His publications can be found on his homepage. For me, he was most of all a very special teacher. In fact, he played an important role in my decision to continue to graduate studies. I want to share here an obituary that I wrote for him (it is in Hebrew).

The disc trick (and some other cute moves)

This post is about a chain of little tricks that I discovered with collaborators and used in several papers. It is just a collection of simple moves that lets you deduce the existence of a zero preserving map of a certain class between two gauge invariant spaces, given the existence of a map from that class (things will be very clear soon, I hope). These tricks were later used by some other people, who applied it in different settings.

I am writing this post as notes for my upcoming Pizza & Beer seminar talk. The section at the end of the notes contains references and links to papers where this was used.

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The complex matrix cube problem – new results from summer projects

In this post I will summarize the results obtained by my group in the “Summer Projects Week” that took place two weeks ago at the Technion. As in last time (see here for a summary of last year’s project) the title of the project I suggested was “Numerical Explorations of Open Problems from Operator Theory”. This time, I was lucky to have Malte Gerhold and Satish Pandey, my postdocs, volunteer to help me with the mentoring. The students who chose our project were Matan Gibson and Ofer Israelov, and they did fantastic work.

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