Some Mixed Paranorm Spaces

Some Mixed Paranorm Spaces

We generalize the concept of mixed norm spaces and define a class of mixed paranorm spaces, study their fundamental topological properties and determine their first and second duals. Furthermore we obtain the corresponding known results for mixed norm spaces and spaces of sequences that are strongly...

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Veröffentlicht in:Filomat 2017-01, Vol.31 (4), p.1079-1098
Hauptverfasser: Malkowsky, Eberhard, Özger, Faruk, Veličković, Vesna
Format: Artikel
Sprache:eng
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Zusammenfassung:We generalize the concept of mixed norm spaces and define a class of mixed paranorm spaces, study their fundamental topological properties and determine their first and second duals. Furthermore we obtain the corresponding known results for mixed norm spaces and spaces of sequences that are strongly summable to zero as special cases of our new results.
ISSN:0354-5180
2406-0933
DOI:10.2298/FIL1704079M