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On the paranormed binomial sequence spaces

Access

info:eu-repo/semantics/closedAccess

Date

2018

Author

Demiriz, Serkan
Ellidokuzoğlu, Hacer Bilgin

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Citation

Demiriz, S. & Ellidokuzoğlu, H.B. (2018). On the paranormed binomial sequence spaces. 7Th International Eurasian Conference on Mathematical Sciences and Applications (Iecmsa-2018), 2037, 020006. https://doi.org/10.1063/1.5078461

Abstract

In this paper the sequence spaces b(o)(r,s) (p), b(c)(r,s) (p), b(o)(r,s) (p) and b(o)(r,s) (p) which are the generalization of the classical Maddox's paranormed sequence spaces have been introduced and proved that the spaces b(o)(r,s) (p), b(o)(r,s) (p), b(o)(r,s) Ap) and b(o)(r,s) (p) are linearly isomorphic to spaces co(p), c(p), too(p) and t(p), respectively. Besides this, the a,p and y duals of the spaces Yo' (p), b(o)(r,s) (p), and b"(p) have been computed, their bases have been constructed and some topological properties of these spaces have been studied. Finally, the classes of matrices (b'cr (p) :), (bnp) :) and (b"(p) :) have been characterized, where is one of the sequence spaces t,s, c and co and derives the other characterizations for the special cases of p.

Source

7Th International Eurasian Conference on Mathematical Sciences and Applications (Iecmsa-2018)

Volume

2037

URI

https://doi.org/10.1063/1.5078461
https://hdl.handle.net/11436/1894

Collections

  • FEF, Matematik Bölümü Koleksiyonu [162]
  • Scopus İndeksli Yayınlar Koleksiyonu [6023]
  • WoS İndeksli Yayınlar Koleksiyonu [5260]



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