Open Mapping Theorem

There is more than one flavor of this theorem:

1. A continuous surjective linear mapping between Banach Spaces is an OpenMap.

2. A nonconstant Analytic Function on a Domain is an Open Map.

References

Zeidler, E. Applied Functional Analysis: Applications to Mathematical Physics. New York: Springer-Verlag, 1995.

• Ore Number
• Ore's Conjecture
• Ore's Theorem
• Orientable Surface
• Orientation (Plane Curve)
• Orientation-Preserving
• Orientation-Reversing
• Orientation (Vectors)
• Origami
• Origin
• Ornstein's Theorem
• Orr's Theorem
• Orthic Triangle
• Orthobicupola
• Orthobirotunda
• Orthocenter
• Orthocentric Coordinates
• Orthocentric Quadrilateral
• Orthocentric System
• Orthocupolarotunda
• Orthodrome
• Orthogonal Array
• Orthogonal Basis
• Orthogonal Circles
• Orthogonal Curves