Some metric aspects of the open mapping and closed graph theorems

DOI10.1007/BF02052841zbMath0138.37602OpenAlexW1996176814MaRDI QIDQ2522039

Vlastimil Pták

Publication date: 1966

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/161355

zbMATH Keywords

functional analysis

Mathematics Subject Classification ID

Functional analysis (46-XX)

Related Items (13)

On superadditive rates of convergence ⋮ Infinite products of relations, set-valued series and uniform openness of multifunctions ⋮ Surjectivity of linear mappings and relations ⋮ Convergence by nondiscrete mathematical induction of a two step secant's method ⋮ Convergence and numerical analysis of a family of two-step Steffensen's methods ⋮ Simultaneous extensions of two functionals ⋮ Relativ co-stetige Operatoren in normierten Räumen ⋮ A near subtraction result in metric spaces (the locally closed graph case) ⋮ Operators with closed range ⋮ Relativ kompakte Operatoren ⋮ Extending the applicability of Newton’s method using nondiscrete induction ⋮ A theorem of the closed graph type ⋮ Iterative processes and open mapping theorems

Cites Work

• On the theory of general partial differential operators
• Operational calculus of linear relations
• On a theorem of Mazur and Orlicz
• Some remarks on Saks spaces
• On the closed graph theorem
• Some properties of two-norm spaces and a characterization of reflexivity of Banach spaces

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