The Open-Mapping and Closed-Graph Theorems

Taqdir Husain
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Taqdir Husain: McMaster University

Chapter 3 in The Open Mapping and Closed Graph Theorems in Topological Vector Spaces, 1965, pp 34-44 from Springer

Abstract: Abstract Let E and F be two TVS’s and consider the following statements: (A) A linear and continuous mapping f of E onto F is open. (B) A linear mapping g of F into E with the closed graph is continuous.

Keywords: Linear Mapping; Open Mapping; Closed Subspace; Vector Subspace; Fundamental System (search for similar items in EconPapers)
Date: 1965
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DOI: 10.1007/978-3-322-96210-2_3

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