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.

• Mallow's Sequence
• Malmstén's Differential Equation
• Maltese Cross
• Maltese Cross Curve
• Malthusian Parameter
• Mandelbar Set
• Mandelbrot Set
• Mandelbrot Tree
• Mangoldt Function
• Manifold
• Mantissa
• Map
• Map Coloring
• Mapes' Method
• Map Folding
• Mapping (Function)
• Mapping Space
• Map Projection
• Marginal Analysis
• Marginal Probability
• Markoff Number
• Markoff's Formulas
• Markov Algorithm
• Markov Chain
• Markov Matrix