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For any non-negative real number $\epsilon_{0}$, we shall introduce a concept of the $\epsilon_{0}$-Cauchy sequence in a normed linear space $V$ and also introduce a concept of the $\epsilon_{0}$-completeness in those spaces. Finally we introduce a concept of the generalized Banach spaces with these concepts.
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참고문헌 (6)
참고문헌 신청
Chawalit Boonpok / 2017 / Generalized $(\Lambda,b)$-closed sets in topological spaces / 한국수학논문집 25(3):437~453
채희준 / 2017 / Continued fractions and the density of graphs of some functions / 한국수학논문집 25(2):137~145
D. L. Cohn / 1980 / Measure Theory / Berkhauser
강부현 / 2019 / An Introduction to Epsilon zero Density and Dense Ace / 충청수학회지 32(1):69~86
강부현 / 2018 / The sequential attainability and attainable ace / 한국수학논문집 26(4):757~775
채희준 / 2017 / Continued fractions and the density of graphs of some functions / 한국수학논문집 25(2):137~145
D. L. Cohn / 1980 / Measure Theory / Berkhauser
강부현 / 2019 / An Introduction to Epsilon zero Density and Dense Ace / 충청수학회지 32(1):69~86
강부현 / 2018 / The sequential attainability and attainable ace / 한국수학논문집 26(4):757~775
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