An **operator space** is a specific type of mathematical structure used primarily in functional analysis and operator theory. It is a complete normed space of bounded linear operators on a Hilbert space (or a more general Banach space) endowed with a certain additional structure. The more formal notion of operator spaces arose in the context of the study of noncommutative geometry and quantum physics, but it has also found applications in various areas of mathematics, including the theory of Banach spaces and matrix theory.
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