10 citations · 19 across the 19 of their papers we have counts for
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Large scale geometry of Banach-Lie groups
Hiroshi Ando, Michal Doucha, Yasumichi Matsuzawa
We initiate the large scale geometric study of Banach-Lie groups, especially of linear Banach-Lie groups. We show that the exponential length, originally introduced by Ringrose for…
Polish groups of unitaries
Hiroshi Ando, Yasumichi Matsuzawa
We study the question of which Polish groups can be realized as subgroups of the unitary group of a separable infinite-dimensional Hilbert space. We also show that for a separable…
Unitarizability, Maurey--Nikishin factorization, and Polish groups of finite type
Hiroshi Ando, Yasumichi Matsuzawa, Andreas Thom +1
Let be a countable discrete group, and let be a representation of by invertible operators on a separable Hilbert space . We show that the sem…
On Polish Groups of Finite Type
Hiroshi Ando, Yasumichi Matsuzawa
Sorin Popa initiated the study of Polish groups which are embeddable into the unitary group of a separable finite von Neumann algebra. Such groups are called of finite type. We giv…
Lie Group-Lie Algebra Correspondences of Unitary Groups in Finite von Neumann Algebras
Hiroshi Ando, Yasumichi Matsuzawa
We give an affirmative answer to the question whether there exist Lie algebras for suitable closed subgroups of the unitary group in a Hilbert space …