Published January 1, 2017 | Version v1
Journal article Open

Some Mixed Paranorm Spaces

  • 1. Drzavni Univ Novom Pazaru, Vuka Karadzica Bb, Novi Pazar 36300, Serbia
  • 2. Izmir Katip Celebi Univ, Dept Engn Sci, Izmir, Turkey
  • 3. Univ Nis, Fac Sci & Math, Dept Comp Sci, Visegradska 33, Nish 18000, Serbia

Description

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.

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