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Ursescu theorem information


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.

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Ursescu theorem

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analysis and convex analysis, the Ursescu theorem is a theorem that generalizes the closed graph theorem, the open mapping theorem, and the uniform boundedness...

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Closed graph theorem

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linear operator to be open Ursescu theorem – Generalization of closed graph, open mapping, and uniform boundedness theorem Webbed space – Space where...

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Uniform boundedness principle

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of topological vector space Ursescu theorem – Generalization of closed graph, open mapping, and uniform boundedness theorem Shtern 2001. Rudin 1991, pp...

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Algebraic interior

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are also useful for the statements of many theorems in convex functional analysis (such as the Ursescu theorem): i c A := { i A  if  aff ⁡ A  is a closed...

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Barrelled space

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boundedness principle#Generalisations – A theorem stating that pointwise boundedness implies uniform boundedness Ursescu theorem – Generalization of closed graph...

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Complete metric space

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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...

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Convex hull

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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...

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Metrizable topological vector space

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notion of uniform properties Ursescu theorem – Generalization of closed graph, open mapping, and uniform boundedness theorem In fact, this is true for topological...

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Webbed space

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defined by a metric Open mapping theorem (functional analysis) – Condition for a linear operator to be open Ursescu theorem – Generalization of closed graph...

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Convex series

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{cl} C\right)^{i}.} Ursescu theorem – Generalization of closed graph, open mapping, and uniform boundedness theorem Zălinescu 2002, pp. 1–23. Zălinescu...

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Closed graph property

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43 (2): 439–442. doi:10.1090/S0002-9939-1974-0334132-8. ISSN 0002-9939. Ursescu, Corneliu (1975). "Multifunctions with convex closed graph". Czechoslovak...

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