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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2016.1
- 수록면
- 793 - 806 (14page)
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초록· 키워드
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G-vector-valued sequence spaceframes and g-Banach frames for Banach spaces are introduced andstudied in this paper. Also, the concepts of duality mapping and$\beta$-dual of a BK-space are used to define frame mapping andsynthesis operator of these frames, respectively. Finally, someresults regarding the existence of g-vector-valued sequence spaceframes and g-Banach frames are obtained. In particular, it is provedthat if $X$ is a separable Banach space and $Y$ is a Banach spacewith 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 (12)
참고문헌 신청
M. R. Abdollahpour / 2007 / Pg-frames in Banach spaces / Methods Funct. Anal. Topology 13(3):201~210
P. G. Casazza / 2005 / Frame expansions in separable Banach spaaces / J. Math. Anal. Appl. 307(2):710~723
P. G. Casazza / 1999 / Frames for Banach spaces / Contemp. Math. 247:149~182
O. Christensen / 2003 / P-frames in separable Banach spaces / Adv. Comput. Math. 18(2-4):117~126
I. Daubechies / 1992 / Ten lectures on wavelets / SIAM
P. G. Casazza / 2005 / Frame expansions in separable Banach spaaces / J. Math. Anal. Appl. 307(2):710~723
P. G. Casazza / 1999 / Frames for Banach spaces / Contemp. Math. 247:149~182
O. Christensen / 2003 / P-frames in separable Banach spaces / Adv. Comput. Math. 18(2-4):117~126
I. Daubechies / 1992 / Ten lectures on wavelets / SIAM
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