Banach spaces | Operator theory

Operator space

In functional analysis, a discipline within mathematics, an operator space is a normed vector space (not necessarily a Banach space) "given together with an isometric embedding into the space B(H) of all bounded operators on a Hilbert space H.". The appropriate morphisms between operator spaces are . (Wikipedia).

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Related pages

Operator system | Hilbert space | Bounded operator | Banach space | Functional analysis | Linear subspace | Normed vector space | Isometry | Ring (mathematics) | C*-algebra | Category (mathematics) | Operator algebra