Abstract
We describe the general form of a Hermitian operator on the injective tensor product of a uniform algebra and a complex Banach space. As an application, we characterize a surjective unital isometry between the injective tensor product of a uniform algebra and a unital factor C ⁎ -algebra. In particular, we give a simple proof that a unital factor C ⁎ -algebra has the Banach–Stone property.
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