36 citations · 58 across the 14 of their papers we have counts for
16 papers
A remark on geodesics in the Banach Mazur distance
Alvaro Arias, Vladimir Kovalchuk
We show that there are uncountably many geodesics between any two non-isometric -dimensional normed spaces. We construct two explicit geodesics that can be used to describe all…
Banach Spaces from Barriers in High Dimensional Ellentuck Spaces
Alvaro Arias, Natasha Dobrinen, Gabriel Giron-Garnica +1
A new hierarchy of Banach spaces , any positive integer, is constructed using barriers in high dimensional Ellentuck spaces \cite{DobrinenJSL15} following the classic…
Classification of Noncommutative Domain Algebras
Alvaro Arias, Frederic Latremoliere
Noncommutative domain algebras are noncommutative analogues of the algebras of holomorphic functions on domains of $\C^n$ defined by holomorphic polynomials, and they generalize th…
Ergodic Actions of Convergent Fuchsian groups on quotients of the noncommutative Hardy algebras
Alvaro Arias, Frederic Latremoliere
We establish that particular quotients of the non-commutative Hardy algebras carry ergodic actions of convergent discrete subgroups of the group of automo…
Isomorphisms of noncommutative domain algebras II
Alvaro Arias, Frederic Latremoliere
This paper extends the results of the previous work of the authors on the classification on noncommutative domain algebras up to completely isometric isomorphism. Using Sunada's cl…
Isomorphisms of Non-Commutative Domain Algebras
Alvaro Arias, Frederic Latremoliere
Noncommutative domain algebras were introduced by Popescu as the non-selfadjoint operator algebras generated by weighted shifts on the Full Fock space. This paper uses results from…