• Korean Journal of Mathematics
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• v.30 no.3
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• pp.459-465
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• 2022

We exhibit various properties of the weighted Berezin operator T_α and its iteration T^k_α on L^p(𝜏), where α > -1 and 𝜏 is the invariant measure on the complex unit ball B_n. Iterations of T_α on L¹_R(𝜏) the space of radial integrable functions have performed important roles in proving 𝓜-harmonicity of bounded functions with invariant mean value property. We show differences between the case of 1 < p < ∞ and p = 1, ∞ under the infinite iteration of T_α or the infinite summation of iterations, most of which are extensions or related assertions to the propositions of the previous results.

• Journal of the Chungcheong Mathematical Society
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• v.25 no.4
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• pp.655-668
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• 2012

An operator $T\;{\varepsilon}\;B(\mathcal{H})$ is said to be $k$-quasi-paranormal operator if $||T^{k+1}x||^2\;{\leq}\;||T^{k+2}x||\;||T^kx||$ for every $x\;{\epsilon}\;\mathcal{H}$, $k$ is a natural number. This class of operators contains the class of paranormal operators and the class of quasi - class A operators. In this paper, using the operator matrix representation of $k$-quasi-paranormal operators which is related to the paranormal operators, we show that every algebraically $k$-quasi-paranormal operator has Bishop's property ($\beta$), which is an extension of the result proved for paranormal operators in [32]. Also we prove that (i) generalized Weyl's theorem holds for $f(T)$ for every $f\;{\epsilon}\;H({\sigma}(T))$; (ii) generalized a - Browder's theorem holds for $f(S)$ for every $S\;{\prec}\;T$ and $f\;{\epsilon}\;H({\sigma}(S))$; (iii) the spectral mapping theorem holds for the B - Weyl spectrum of T.

• Korean Journal of Medicinal Crop Science
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• v.10 no.5
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• pp.327-332
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• 2002

This study was conducted to investigate the immuno-regulatory effect and apoptosis of L1210 and HL60 leukemia cells of methanol-extracts of Cornus kousa Burg(CKB). The proliferation of mouse splenocytes and thymocytes enhanced by the addition of $10\;{\mu}g/ml$ of CKB. CKB were administered p.o. once a day for 7 days in adult male BALB/c mice. CKB increased the splenic and thymic T lymphocytes, especially the number of $T_H$ cells markedly increased by the treatment of CKB. CKB treatment induced the apoptotic cell death in L1210 mouse leukemia and HL60 human leukemia cells. In addition, CKB also accelerated the phagocytic activity in peritoneal macrophages and increased the production of plaque forming cells. These results suggest that CKB have an various immuno-regulatory property.

• Proceedings of the KSR Conference
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• 2007.11a
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• pp.1273-1278
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• 2007

The cement-asphalt mortar is a mixture of cement and asphalt emulsion, and is utilized as a underpouring materials for the railway track which is used to fill under slab panel space so as to provide a stabilized track support and a tool for reduction of noise and vibration. To increase the workability of grouting, this study investigates the effect of temperature on cement-asphalt mortar by analyzing its physical and mechanical properties before/after hardening according to the temperature (10, 15, 20, 25, $30^{\circ}C$). According to the test results, it is found that as for the physical property of fresh cement-asphalt mortar the more mixture temperature become higher or lower, the more fluidity become worse. But by increasing reducing agent amount and its unit quantity, the required fluidity is met. The compressive strength as physical property of hardened cement-asphalt mortar become lower when temperature is lower but taking it by and large the physical properties of cement-asphalt mortar before/after hardening aren't so affected by temperature and well satisfy the requirement. And it has proved that rate of expansion and freezing and thawing resistance aren't affected by temperature.

• Bulletin of the Korean Mathematical Society
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• v.47 no.5
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• pp.997-1000
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• 2010

We prove that the reduced free product of $k\;{\times}\;k$ matrix algebras over abelian $C^*$-algebras is not the minimal tensor product of reduced free products of $k\;{\times}\;k$ matrix algebras over abelian $C^*$-algebras. It is shown that the reduced group $C^*$-algebra associated with a group having the property T of Kazhdan is not isomorphic to a reduced free product of abelian $C^*$-algebras or the minimal tensor product of such reduced free products. The infinite tensor product of reduced free products of abelian $C^*$-algebras is not isomorphic to the tensor product of a nuclear $C^*$-algebra and a reduced free product of abelian $C^*$-algebra. We discuss the freeness of free product $II_1$-factors and solidity of free product $II_1$-factors weaker than that of Ozawa. We show that the freeness in a free product is related to the existence of Cartan subalgebras in free product $II_1$-factors. Finally, we give a free product factor which is not solid in the weak sense.

• The Korea Journal of Herbology
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• v.25 no.2
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• pp.71-79
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• 2010

Objectives : In this study, the neuroprotective effects of modified Boyanghwano-Tang (mBHT) and the major medicinal plants, Astragali Radix(AR) and Salviae Miltiorrhizae Radix(SMR) were investigated in transient middle cerebral artery occlusion (tMCAO)-induced ischemic stroke of rats. Methods : mBHT(400 mg/kg) and AR(154 mg/kg) or SMR(62 mg/kg) water extract orally injected in rats after 90 min occlusion of MCA and then allow reperfusion to 24 h. Brain infarction was measured by TTC staining and the expressions of NOS isoforms and apoptotic molecules were determined in ischemic brain by Western blot. Results : The results showed that mBHT has stronger neuropreotective property through inhibitions of the PARP cleaved and caspase-3 activation in ischemic rats, and could reduced infarction volumes comparison of those of AR or SMR, respectively. While, AR extract has an angiogenic property through increasing the expressions of eNOS and VEGF, and SMR extract has a strong anti-inflammatory effects through inhibition of iNOS expression in ischemic brains. Conclusions : These results suggest that mBHT has multifactorial therapeutic advantages through anti-apoptosis, anti-inflammation and angiogenesis for ischemic stroke based on a synergistic combination of ingradients rather than monotherapy.

• Communications of the Korean Mathematical Society
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• v.39 no.2
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• pp.437-460
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• 2024

In this paper we present the weighted shift operators having the property of moment infinite divisibility. We first review the monotone theory and conditional positive definiteness. Next, we study the infinite divisibility of sequences. A sequence of real numbers γ is said to be infinitely divisible if for any p > 0, the sequence γ^p = {γ^p_n}^∞_n=0 is positive definite. For sequences α = {α_n}^∞_n=0 of positive real numbers, we consider the weighted shift operators W_α. It is also known that W_α is moment infinitely divisible if and only if the sequences {γ_n}^∞_n=0 and {γ_n+1}^∞_n=0 of W_α are infinitely divisible. Here γ is the moment sequence associated with α. We use conditional positive definiteness to establish a new criterion for moment infinite divisibility of W_α, which only requires infinite divisibility of the sequence {γ_n}^∞_n=0. Finally, we consider some examples and properties of weighted shift operators having the property of (k, 0)-CPD; that is, the moment matrix M_γ(n, k) is CPD for any n ≥ 0.

• The Research Journal of the Costume Culture
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• v.25 no.4
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• pp.448-457
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• 2017

This study aims to analyze the changes in the mechanical properties of interlock fabrics knitted with three types of fibers (i.e., cotton, wool, and polyester) by bonding fusible interlinings with varying deniers (i.e., 10D, 20D, and 30D) for a 3D virtual try-on system. We experimented with four properties and thicknesses of twelve specimens of interlining bonded knitted fabrics including face fabrics and interlinings. The results showed that the tensile property changed values (i.e., LT increased, and WT and RT decreased) according to the denier of interlinings; however, the change was slight. On the other hand, the bending property increased significantly as the denier of the interlining increased on both the wale and the course. Among shearing properties, the value of G increased as the denier of the interlining increased on both the wale and the weft; however, 2HG decreased. Additionally, changes in the compression property varied according to the fibers and the denier of the interlinings. The thickness of the knitted fabrics increased or decreased slightly by bonding the interlining. based on these results, we conclude that the 3D virtual system users need to reflect these numerical changes of interlock fabrics by bonding interlinings when they perform fitting tasks on the screen to accurately express the to accurately express the manufacturing conditions of the real garment.

• Polymer(Korea)
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• v.33 no.6
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• pp.569-574
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• 2009

Organic- inorganic hybrid waterborne polyurethane (PUD) is synthesized by using hybrid polyol consist of carbonate (PCD), ester (PCL), and siloxane (PDSBP) in order to enhance anti-scratch property of PUD film. The diameter of graft type PUD emulsion is bigger than that of linear type PUD due to the graft structure of hydrophobic siloxane chain. The glass transition temperature of linear type PUD increase and the decomposition temperature of linear type PUD decrease with the content of PCD polyol. While, the decomposition temperature of graft type PUD almost same with increasing PDSBP content. The anti-scratch property and pencil hardness of graft type PUD improves as adding PDSBP polyol in the hybrid polyol system. When 9 wt% of PDSBP polyol is mixed, PUD films shows excellent anti-scratch property (~3.3 N), and pencil hardness (> 9 H).

• Journal of Adhesion and Interface
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• v.7 no.2
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• pp.19-25
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• 2006

Since the enzymatic degradation of microbial poly(hydroxylalkanoate)s (PHAs), such as poly[(R)-3-hydroxybutyrate] and poly[(R)-3-hydroxybutyrate-co-3-hydroxyvalerate] initially occurs by a surface erosion process, their degradation behaviors can be controlled by the change of surface property. In order to control the rate of enzymatic degradation, plasma modification technique was applied to change the surface property of microbial PHAs. The surface hydrophobic and hydrophilic properties of PHA films were introduced by $CF_3H$ and $O_2$ plasma exposures, respectively. The enzymatic degradation was carried out at $37^{\circ}C$ in 0.1 M potassium phosphate buffer (pH 7.4) in the presence of an extracellular PHB depolymerase purified from Alcaligenes facalis T1. The results showed that the significant retardation of initial enzymatic erosion of $CF_3H$ plasma-treated PHAs was observed due to the hydrophobicity and the enzyme inactivity of the fluorinated surface layers while the erosion rate of $O_2$ plasma-treated PHAs was not accelerated.