The open mapping theorem, also known as the Banach–Schauder theorem (named after Stefan Banach and Juliusz Schauder), is a fundamental result which states that if a continuous linear operator between Banach spaces is surjective then it is an open map. More precisely,
The open mapping theorem also known as the Banach–Schauder theorem (named after Stefan Banach and Juliusz Schauder) is a fundamental result which states that if a continuous linear operator between Banach spaces is surjective then it is an open map. More precisely,