9 citations · 16 across the 8 of their papers we have counts for
9 papers
Open projections and Murray-von Neumann equivalence
Masayoshi Kaneda, Thomas Schick
We characterize the -algebras for which openness of projections in their second duals is preserved under Murray-von Neumann equivalence. They are precisely the extensions…
Structure and a duality of binary operations on monoids and groups
Masayoshi Kaneda
In this paper we introduce novel views of monoids and groups. More specifically, for a given set , let be the set of binary operations on . We equip $S^{S\tim…
The unit ball of an injective operator space has an extreme point
Masayoshi Kaneda
We define an -TRO as an off-diagonal corner of an -algebra, and show that the unit ball of an -TRO has an extreme point. In particular, the unit ball of an inject…
Two remarks on the Collatz cycle conjecture
Masayoshi Kaneda
We give a short proof of Belaga's result on bounds to perigees of -cycles of a given oddlength. We also reformulate the Collatz cycle conjecture which is rather a algorithm…
Extreme points of the unit ball of an operator space
Masayoshi Kaneda
This paper is a revision and an enlargement of the previous version titled "Extreme points of the unit ball of a quasi-multiplier space" which had been circulated since 2004. We st…
Quasi-multipliers and algebrizations of an operator space
Masayoshi Kaneda
Let be an operator space, let be a product on , and let denote the algebra that one obtains. We give necessary and sufficient conditions on the bilinear mapping…