Kyungpook Mathematical Journal

  • 제56권3호
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  • Pages.793-806
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  • 2016
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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G-vector-valued Sequence Space Frames

  • Osgooei, Elnaz (Department of Sciences, Urmia University of Technology)
  • 투고 : 2014.08.05
  • 심사 : 2016.07.06
  • 발행 : 2016.09.23
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초록

G-vector-valued sequence space frames and g-Banach frames for Banach spaces are introduced and studied in this paper. Also, the concepts of duality mapping and ${\beta}$-dual of a BK-space are used to define frame mapping and synthesis operator of these frames, respectively. Finally, some results regarding the existence of g-vector-valued sequence space frames and g-Banach frames are obtained. In particular, it is proved that if X is a separable Banach space and Y is a Banach space with a Schauder basis, then there exist a Y-valued sequence space $Y_v$ and a g-Banach frame for X with respect to Y and $Y_v$.

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참고문헌

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