Preliminaries Banach limits Main result Meyer Jerison: The set of all generalized limits of bounded sequences

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• Functional analysis
• General topology
• Banach–Alaoglu theorem
• Stone–Čech compactification
• Banach space
• Hahn–Banach theorem
• Ultrafilter
• Leonidas Alaoglu
• Krein–Milman theorem
• Topology
• Mathematics
• Mathematical analysis