• Honam Mathematical Journal
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• v.42 no.3
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• pp.569-576
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• 2020

An element x ∈ E is called a norming point of P ∈ P(ⁿE) if ║x║ = 1 and |P(x)| = ║P║. For P ∈ P(ⁿE), we define Norm(P) = {x ∈ E : x is a norming point of P}. Norm(P) is called the norming set of P. We classify Norm(P) for P ∈ 𝒫(²𝑙²_∞).

• Communications of the Korean Mathematical Society
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• v.37 no.4
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• pp.1131-1146
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• 2022

In this paper we present another characterization of the norming set of T ∈ 𝓛(²𝒍²_∞) in terms of Norm(T) ∩ Ω whose proofs are more systematic than those of Kim [6], where Ω = {((1, 1), (1, 1)), ((1, 1), (1, -1)), ((1, -1), (1, 1)), ((1, -1), (1, -1))}.

• Bulletin of the Korean Mathematical Society
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• v.29 no.2
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• pp.227-232
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• 1992

In this paper we prove that if (.ohm., .SIGMA., .mu.) is a non-purely atomic measure space and X is strictly convex, then X has the asymptotic-norming property II if and only if $L_{p}$ (X, .mu.), 1 < p < .inf., has the asymptotic-norming property II. And we prove that if $X^{*}$ is an Asplund space and strictly convex, then for any p, 1 < p < .inf., $X^{*}$ has the .omega.$^{*}$-ANP-II if and only if $L_{p}$ ( $X^{*}$, .mu.) has the .omega.$^{*}$-ANP-II.*/-ANP-II.

• Korean Journal of Mathematics
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• v.19 no.1
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• pp.53-59
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• 2011

We study some properties of integrable semigroup and its generator, and then we establish convergence of integrable semigroups on the norming dual pairs.

• Journal of the Korean Mathematical Society
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• v.32 no.3
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• pp.583-591
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• 1995

Unless otherwise stated, we always assume that X is a Banach space, and $1 < p, q < \infty with \frac{p}{1}+\frac{q}{1} = 1$. We use S(X) and B(X) to denote the unit sphere and the unit ball in X respectively.

• The Journal of the Korea Contents Association
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• v.6 no.4
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• pp.63-68
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• 2006

For the almost co티am convergent series $S_n$ of independent random variables, by investigating the limiting behavior of the tail series, $T_n=S-S_{n-1}=\sum_{i=n}^{\infty}X_i$, the rate of convergence of the series $S_n$ to a random variable S is studied in this paper. More specifically, the equivalence between the tail series weak law of large numbers and a limit law is established for a quasi-monotone decreasing sequence, thereby extending a result of Previous work to the wider class of the norming constants.

• Journal of Engineering Education Research
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• v.23 no.3
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• pp.66-75
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• 2020

The purpose of this study is to norm the engineering design competency test. To achieve the purpose of the study, a survey was conducted on engineering college students nationwide using engineering design competency test developed in the precedent study, and a total of 2,859 questionnaires were analyzed. The main results are as follows. First, the national average of engineering design competency scores was 158 out of 240 points. Second, there was no significant difference between genders in engineering design competency by background variables. On the other hand, there was a significant difference by major. It was found that mechanical and construction majors have higher engineering design competency than IT and chemical/material engineering majors. Also, the scores of engineering design competency increased as the grade went up. Third, the number of courses related to engineering design did not affect by engineering design competency, but the actual number of times of experience in engineering design was affected by engineering design competency.