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1 vote
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Extending the projective action of several positive linear maps to a complex neighbourhood

I am currently reading a paper which, somewhat indirectly, asserts the following result: Lemma: Let $\Delta \subset \mathbb{R}^d$ denote the simplex $\{(x_1,\ldots,x_d):\sum_{i=1}^d x_i=1\}$, let $A_ …
Ian Morris's user avatar
  • 6,206
6 votes
1 answer
239 views

The approximation property for some spaces of holomorphic functions

I am reading a circle of papers which use arguments based on Fredholm determinants of nuclear operators to compute numerical quantities associated to real-analytic and holomorphic dynamical systems. I …
Ian Morris's user avatar
  • 6,206
3 votes
0 answers
88 views

Trace of a weighted composition operator on Bergman space

I am reading a series of papers by Pollicott, Jenkinson and coauthors which make use of the following type of result: Theorem: Let $\mathbb{D} \subset \mathbb{C}^d$ be a bounded, connected open set. …
Ian Morris's user avatar
  • 6,206