Generalization of closed graph, open mapping, and uniform boundedness theorem
In mathematics, particularly in functional analysis and convex analysis, the Ursescu theorem is a theorem that generalizes the closed graph theorem, the open mapping theorem, and the uniform boundedness principle.
analysis and convex analysis, the Ursescutheorem is a theorem that generalizes the closed graph theorem, the open mapping theorem, and the uniform boundedness...
linear operator to be open Ursescutheorem – Generalization of closed graph, open mapping, and uniform boundedness theorem Webbed space – Space where...
of topological vector space Ursescutheorem – Generalization of closed graph, open mapping, and uniform boundedness theorem Shtern 2001. Rudin 1991, pp...
are also useful for the statements of many theorems in convex functional analysis (such as the Ursescutheorem): i c A := { i A if aff A is a closed...
often used to prove the inverse function theorem on complete metric spaces such as Banach spaces. Theorem (C. Ursescu) — Let X {\displaystyle X} be a complete...
Russo–Dye theorem describes the convex hulls of unitary elements in a C*-algebra. In discrete geometry, both Radon's theorem and Tverberg's theorem concern...
notion of uniform properties Ursescutheorem – Generalization of closed graph, open mapping, and uniform boundedness theorem In fact, this is true for topological...
defined by a metric Open mapping theorem (functional analysis) – Condition for a linear operator to be open Ursescutheorem – Generalization of closed graph...
{cl} C\right)^{i}.} Ursescutheorem – Generalization of closed graph, open mapping, and uniform boundedness theorem Zălinescu 2002, pp. 1–23. Zălinescu...