• 대한수학회논문집
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• 제18권3호
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• pp.491-499
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• 2003

The Banach envelope of $WeakL_1$ contains a complemented Banach sublattice that is isometrically isomorphic to Lp($\mu$) space.

• Korean Journal of Mathematics
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• 제11권2호
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• pp.111-115
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• 2003

Under some asymptotical conditions we obtain a fixed point theorem for a mapping(not necessarily nonexpansive) from an unbounded closed convex subset of a reflexive Banach space into itself. Also we give an example for applying it.

• Korean Journal of Mathematics
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• 제4권2호
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• pp.125-133
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• 1996

We show that if X is a reflexive Banach space with a uniformly G$\hat{a}$teaux differentiable norm, then the convergence of semigroups acting on Banach spaces $X_n$ implies the convergence of resolvents of generators of semigroups.

• Journal of applied mathematics & informatics
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• 제14권1_2호
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• pp.329-341
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• 2004

We consider the rate of convergence for a class of perturbed hemivariational inequalities in reflexive Banach Spaces. Our results can be viewed as an extension and refinement of some previous known results in this area.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제13권3호
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• pp.197-206
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• 2006

This paper introduces a class of multivalued mixed quasi-variational-like ineqcalities and shows the existence of solutions to the class of quasi-variational-like inequalities in reflexive Banach spaces.

• Korean Journal of Mathematics
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• 제30권1호
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• pp.147-154
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• 2022

In this article, we prove that an absolutely summing operator on 𝓛^λ₁ spaces has a lifting under the conditions that a target Banach space is a quotient of reflexive Banach subspaces.

• 대한수학교육학회지:수학교육학연구
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• 제23권2호
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• pp.237-252
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• 2013

수학교육학 내의 논의에서 Bachelard의 과학철학은 인식론적 장애 개념을 중심으로 소개되어 있다. 그의 과학철학에서 인식론적 장애는 과학의 변증법적 발달과 연결되어 있다. 과학은 기존에 명백한 것으로 인식된 것을 부정하여 얻은 개념의 재구성과 일반화를 통해서 발달한다. 이 과정에서 기존의 인식에 대한 단절이 필요하다. 인식론적 장애는 재구성이 필요한 시점에서 기존의 것과 단절하지 못하고 고수함으로써 나타나내는 발달의 지연이며, 지식의 형성 혹은 학습 과정에 내재적인 어려움이 존재한다는 것을 의미한다. 이상과 같은 Bachelard 관점을 수학교육학에서 널리 적용되고 있는, '내면화-압축화-대상화'의 단계적인 반영적 추상화 도식과 비교하고 논의하였다.

• 한국전산유체공학회:학술대회논문집
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• 한국전산유체공학회 2008년도 춘계학술대회논문집
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• pp.559-564
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• 2008

A prediction of binary droplets collision is important in the formation of falling drops and the evolution of sprays. The droplet velocity, impact parameter and drop-size ratio have influence on the interaction of the droplets. By the effect of these parameter, the collision processes are generated with the complicated phenomena. The droplet collision can be classified into four interactions such as the bouncing, coalescence, reflexive separation and stretching separation. In this study, the two-phase flow of the droplet collision was simulated numerically by using the Level Set method. 2D axi-symmetric simulations on the head-on collisions in the coalescence and reflexive separation, and 3D simulation on the off-center collisions in the coalescence and stretching separation were performed. These numerical results showed good agreements with the experimental and analytical results. For tracking the identity of droplets after the collision, transport equation for the volume fraction of the each initial droplet were used. From this, the identities of droplets were analyzed on the collision of droplets having different size.

• 한국수학교육학회지시리즈B:순수및응용수학
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• 제25권1호
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• pp.49-57
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• 2018

We have introduced two new notions of convexity and closedness in functional analysis. Let X be a real normed space, then $C({\subseteq}X)$ is functionally convex (briefly, F-convex), if $T(C){\subseteq}{\mathbb{R}}$ is convex for all bounded linear transformations $T{\in}B$(X, R); and $K({\subseteq}X)$ is functionally closed (briefly, F-closed), if $T(K){\subseteq}{\mathbb{R}}$ is closed for all bounded linear transformations $T{\in}B$(X, R). By using these new notions, the Alaoglu-Bourbaki-Eberlein-${\check{S}}muljan$ theorem has been generalized. Moreover, we show that X is reflexive if and only if the closed unit ball of X is F-closed. James showed that for every closed convex subset C of a Banach space X, C is weakly compact if and only if every $f{\in}X^{\ast}$ attains its supremum over C at some point of C. Now, we show that if A is an F-convex subset of a Banach space X, then A is bounded and F-closed if and only if every element of $X^{\ast}$ attains its supremum over A at some point of A.

• 한국태양에너지학회:학술대회논문집
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• 한국태양에너지학회 2011년도 추계학술발표대회 논문집
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• pp.177-186
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• 2011

We can expect reduction of the sunlight absorption quantity to a structure and an earth surface, a decline of the surface temperature and a decline of the heat transport volume in what there is a method I give the sunlight reflectance in the aspect to the surface of the building by painting sunlight high reflectance paint, and to reduce the sunlight absorption quantity to a structure and an earth surface and does so, and, in addition, a method high water retentivity of tree planting and the road surface of the city space uses evaporation latent heat of the water by making it, and to restrain a rise in temperature is thought about. and It is thought that I reduce the sunlight absorption quantity to not only the structure but also other structures and attention gathers to the reflexive reflector reflecting in the direction again and it is wide as a marker of a board and the clothing of the traffic sign and is used the incidence energy from a source of light for this reflexive reflector now by there is it and devises surface structure again, and controlling reflection directivity for the sunlight for the purpose of raising night visibility.