Modulars from Nakano onwards

Abstract

We discuss and compare a number of notions of modulars appeared in literature, among which there is a selection of the well known ones. We highlight the connections between the various definitions and provide several examples, taken from existing literature, recalling known results and completing the picture with some original considerations

Keywords

• Modulars
• norms
• function norm
• function space
• modular function space
• Banach function spaces
• Riesz spaces
• lattices
• Nakano modulars

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