4 citations · 5 across the 15 of their papers we have counts for
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Order isomorphisms on positive cones of non-unital -algebras
Osamu Hatori, Shiho Oi
Let and be -algebras, not necessarily unital, and let be a positively homogeneous order isomorphism. We first prove that is additive and extends uni…
Surjective Fischer--Muszély maps on positive cones of JB-algebras
Osamu Hatori, Shiho Oi
We prove that every surjective Fischer--Muszély map between positive cones of arbitrary JB-algebras is additive and positively homogeneous, and extends uniquely to a bounded positi…
Linear maps preserving families of C-symmetric operators
Mayu Anzai, Shiho Oi
Let $\cH$ be a separable complex Hilbert space with $\dim\cH\ge3$. We characterize the bounded bijective complex-linear maps on $\BH$ for which there exists a bijection of…
Spectral decomposition of doubly power-bounded elements in Banach algebras
Osamu Hatori, Shiho Oi
We establish a characterization of doubly power-bounded elements with finite spectrum in Banach algebras. In particular, we present a spectral decomposition for such elements, exte…
Spectrally additive maps on the positive cones of the Wiener algebra
Shiho Oi, Kaito Sato
We study surjective maps between the positive cones of the Wiener algebra that preserve the spectrum of the sum of every two elements. We show that such maps can be extended to iso…