On topological properties of spaces obtained by the double band matrix

Suzan Zeren; Çiğdem Bektaş

Open Mathematics (2017)

  • Volume: 15, Issue: 1, page 1148-1155
  • ISSN: 2391-5455

Abstract

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Let λ denote any one of the spaces ℓ∞ and ℓp and λ(Ť) be the domain of the band matrix Ť. We study ℓp(Ť) for 1 ≤ p ≤ ∞ and give some inclusions and its topological properties. Also, we define the alpha−, beta− and gamma− duals of the space ℓp(Ť). Finally, we give some matrix mappings.

How to cite

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Suzan Zeren, and Çiğdem Bektaş. "On topological properties of spaces obtained by the double band matrix." Open Mathematics 15.1 (2017): 1148-1155. <http://eudml.org/doc/288524>.

@article{SuzanZeren2017,
abstract = {Let λ denote any one of the spaces ℓ∞ and ℓp and λ(Ť) be the domain of the band matrix Ť. We study ℓp(Ť) for 1 ≤ p ≤ ∞ and give some inclusions and its topological properties. Also, we define the alpha−, beta− and gamma− duals of the space ℓp(Ť). Finally, we give some matrix mappings.},
author = {Suzan Zeren, Çiğdem Bektaş},
journal = {Open Mathematics},
keywords = {Sequence spaces; Matrix transformations; α−, β− and γ− duals},
language = {eng},
number = {1},
pages = {1148-1155},
title = {On topological properties of spaces obtained by the double band matrix},
url = {http://eudml.org/doc/288524},
volume = {15},
year = {2017},
}

TY - JOUR
AU - Suzan Zeren
AU - Çiğdem Bektaş
TI - On topological properties of spaces obtained by the double band matrix
JO - Open Mathematics
PY - 2017
VL - 15
IS - 1
SP - 1148
EP - 1155
AB - Let λ denote any one of the spaces ℓ∞ and ℓp and λ(Ť) be the domain of the band matrix Ť. We study ℓp(Ť) for 1 ≤ p ≤ ∞ and give some inclusions and its topological properties. Also, we define the alpha−, beta− and gamma− duals of the space ℓp(Ť). Finally, we give some matrix mappings.
LA - eng
KW - Sequence spaces; Matrix transformations; α−, β− and γ− duals
UR - http://eudml.org/doc/288524
ER -

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