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Isometries lie at the heart of the geometric study of Banach spaces, furnishing a precise language for when two spaces share identical norm-structures. In the context of function spaces—ranging from ...

Isometries in Banach spaces form the backbone of geometric functional analysis, capturing the exact preservation of distance under linear or nonlinear mappings. The study of stability concerns how ...

Quantum memories, systems that store and retrieve information leveraging quantum mechanical effects, can outperform classical storage systems on some existing tasks. Yet these promising memories could ...