4 problems

0 votes0 replies0 views
Jonsson's conjecture on Dirichlet forms and Lipschitz spaces for fractals
A simple nested fractal is a fractal in the class described in the paper, equipped with its Brownian motion and associated Dirichlet form. For a fractal $F$ with Hausdorff measure…
Conjectureopendirichlet-forms fractals lipschitz-spacesarXiv posted 2 days ago
0 votes0 replies0 views
Conjecture that hypercyclicity forces an infinite complement of the image
Infinite-complement conjecture. The set $T\setminus\varphi(T)$ should be infinite.
Conjectureopencomposition-operators hypercyclicity lipschitz-spacesarXiv posted 2 days ago
0 votes0 replies1 view
Uniqueness conjecture for the predual of the Lipschitz space
Let $(M,d)$ be a complete pointed metric space, and let $\operatorname{Lip}_0(M)$ be the Banach space of real-valued Lipschitz functions on $M$ vanishing at the base point. Its Lip…
Conjectureopenbanach-spaces lipschitz-spaces predualsarXiv posted 2 days ago
0 votes0 replies0 views
Biduality conjecture for little Lipschitz spaces of quantum metrics
Let ${\mathcal M}\subseteq {\mathcal B}(H)$ be a von Neumann algebra equipped with a general quantum metric, and let ${\rm Lip}^\alpha({\mathcal M})$ and…
Conjectureopenlipschitz-spaces operator-algebras quantum-metricsarXiv posted 2 days ago

Jonsson's conjecture on Dirichlet forms and Lipschitz spaces for fractals