In this paper we characterize the isometries of subspaces of the little Zygmund space. We show that the isometries of these spaces are surjective and represented as integral operators. We also show that all hermitian operators on these settings are bounded.
Isometries and Hermitian operators on $\mathcal{B}_0(\triangle, E)$
A Note on $Γ_n$-isometries
On 2-local *-automorphisms and 2-local isometries of B(H)
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