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Focusing on semicircular elements, the book explores their constructions and free-probabilistic properties. It delves into the impact of specific Banach-space operators on these elements, analyzing how they affect the semi-circular law through orthogonal projections. The examination reveals whether these operators preserve or distort the underlying mathematical structure, offering valuable insights into the interplay between operator theory and free probability.
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Constructive Analysis of Semicircular Elements, Ilwoo Cho
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- 2023
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