5 papers · 1 filter
Forced Coincidence and Its Boundary in Finite Condition Structures
Daisuke Hirota
Accounts of organizational dissolution explain survivor homogenization, temporally concentrated exit, and fragmentation into cohesive subgroups in different vocabularies. Their rec…
On the Fischer-Muszély equation for the positive cones of -algebras
Daisuke Hirota, Jyamira Oppekepenguin
We study the Fischer-Muszély functional equation for the positive semidefinite and the positive definite cones of unital -algebras. We show that any bijection between the posi…
Surjective isometries on the positive parts of the unit spheres of some function spaces
Yuta Enami, Daisuke Hirota, Hironao Koshimizu +1
We consider the space of continuously differentiable functions on the closed unit interval and the space of Lipschitz continuous fun…
Globalization of local sign structures for phase-isometries on uniform algebras
Yuta Enami, Daisuke Hirota, Izuho Matsuzaki +1
We study surjective phase-isometries between the unit spheres of uniform algebras. Although such maps preserve maximal convex sets up to signs, the resulting local sign ambiguity p…
The Impossibility of Cohesion Without Fragmentation
Daisuke Hirota
Accounts of social division and cohesion presuppose relations whose maintenance already depends on positional compatibility. We develop this feasibility layer as a static theory: a…