Open mapping theorem
Open mapping theorem may refer to:
- Open mapping theorem (functional analysis) or Banach–Schauder theorem states that a surjective continuous linear transformation of a Banach space X onto a Banach space Y is an open mapping
- Open mapping theorem (complex analysis) states that a non-constant holomorphic function on a connected open set in the complex plane is an open mapping
See also
- The invariance of domain theorem shows that certain mappings between subsets of Rn are open
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