some topological and geometrical properties of a new difference sequence space

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ID: 210145
2011
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Abstract
We introduce the new difference sequence space ๐‘Ž๐‘Ÿ๐‘(ฮ”) . Further, it is proved that the space ๐‘Ž๐‘Ÿ๐‘(ฮ”) is the BK-space including the space ๐‘๐‘ฃ๐‘, which is the space of sequences of pbounded variation. We also show that the spaces ๐‘Ž๐‘Ÿ๐‘(ฮ”), and โ„“๐‘ are linearly isomorphic for 1โ‰ค๐‘<โˆž. Furthermore, the basis and the ๐›ผ-, ๐›ฝ- and ๐›พ-duals of the space ๐‘Ž๐‘Ÿ๐‘(ฮ”) are determined. We devote the final section of the paper to examine some geometric properties of the space ๐‘Ž๐‘Ÿ๐‘(ฮ”).
Reference Key
demiriz2011abstractsome Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Serkan Demiriz;Celal ร‡akan
Journal science and technology of advanced materials
Year 2011
DOI
10.1155/2011/213878
URL
http://dx.doi.org/10.1155/2011/213878
Keywords
mathematics

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