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searching for Open mapping theorem (complex analysis) 8 found (17 total)

alternate case: open mapping theorem (complex analysis)

Uniform boundedness principle (4,620 words) [view diff] no match in snippet view article find links to article

functional analysis. Together with the Hahn–Banach theorem and the open mapping theorem, it is considered one of the cornerstones of the field. In its basic

Conformal map (2,515 words) [view diff] no match in snippet view article find links to article

which is one-to-one and holomorphic on an open set in the plane. The open mapping theorem forces the inverse function (defined on the image of f {\displaystyle

Glossary of functional analysis (3,200 words) [view diff] no match in snippet view article find links to article

{\displaystyle (\mathbb {R} ,+)} to the unit group of A. open The open mapping theorem says a surjective continuous linear operator between Banach spaces

List of mathematical proofs (593 words) [view diff] no match in snippet view article find links to article

Invariance of domain Minkowski inequality Nash embedding theorem Open mapping theorem (functional analysis) Product topology Riemann integral Time hierarchy

F-space (1,204 words) [view diff] no match in snippet view article find links to article

{\displaystyle (X,\tau )} is a complete topological vector space. The open mapping theorem implies that if τ and τ 2 {\displaystyle \tau {\text{ and }}\tau

Banach space (17,048 words) [view diff] no match in snippet view article find links to article

example) and guarantees that the Banach–Steinhaus theorem holds. The open mapping theorem implies that when τ 1 {\displaystyle \tau _{1}} and τ 2 {\displaystyle

Hilbert space (17,469 words) [view diff] no match in snippet view article find links to article

property of Banach spaces continues to hold for Hilbert spaces. The open mapping theorem states that a continuous surjective linear transformation from one

List of publications in mathematics (10,413 words) [view diff] no match in snippet view article find links to article

mathematical analysis. Banach also gave proofs of versions of the open mapping theorem, closed graph theorem, and Hahn–Banach theorem. Grothendieck, Alexander