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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 저널정보
- 장전수학회 Advanced Studies in Contemporary Mathematics Advanced Studies in Contemporary Mathematics Vol.29 No.1
- 발행연도
- 2019.1
- 수록면
- 89 - 98 (10page)
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초록· 키워드
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In this paper, we study some topological characteristics of n-normed spaces. We construct quotient spaces of an n-normed space and de ne a norm in each quotient space. Using these norms, we observe convergence sequences, closed sets, and bounded sets in n-normed spaces. These norms will be a new viewpoint in observing the characteristics of n-normed spaces. We also review the completeness of n- normed spaces.
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참고문헌 (14)
참고문헌 신청
H. Batkunde / 2018 / n-Normed spaces with norms of its quotient spaces / J. Phys.: Conf. Series 1097:012079
H. Batkunde / 2013 / Bounded linear functionals on the n-normed space of p-summable sequences / Acta Univ. M. Belii. Ser. Math 21:66~75
H. Batkunde / 2017 / Bounded 2-linear functionals on the n-normed spaces / J. Phys.: Conf. Series 893:12~16
S. Ekariani / 2013 / A contractive mapping theorem on the n-normed space of p-summable sequences / J. Math. Analysis 4(1):1~7
R. W. Fresse / 2001 / Geometry of Linear 2-Normed Spaces / Nova Publishers
H. Batkunde / 2013 / Bounded linear functionals on the n-normed space of p-summable sequences / Acta Univ. M. Belii. Ser. Math 21:66~75
H. Batkunde / 2017 / Bounded 2-linear functionals on the n-normed spaces / J. Phys.: Conf. Series 893:12~16
S. Ekariani / 2013 / A contractive mapping theorem on the n-normed space of p-summable sequences / J. Math. Analysis 4(1):1~7
R. W. Fresse / 2001 / Geometry of Linear 2-Normed Spaces / Nova Publishers
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