• Journal of applied mathematics & informatics
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• v.40 no.3_4
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• pp.785-794
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• 2022

In this paper we show that if A ∈ L(X) and R ∈ L(X) is a quasinilpotent operator commuting with A then X_A(F) = X_A+R(F) for all subset F ⊆ ℂ and 𝜎_loc(A) = 𝜎_loc(A + R). Moreover, we show that A and A + R share many common local spectral properties such as SVEP, property (C), property (𝛿), property (𝛽) and decomposability. Finally, we show that quasisimility preserves local spectrum.

• Journal of applied mathematics & informatics
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• v.38 no.3_4
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• pp.249-254
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• 2020

Here, assume that X is a compact space. we show that if f is a locally nonexpansive map then f : X → X has the limit shadowing property if and only if f : CR(f) → CR(f) has the limit shadowing property. Also we prove that if f is a local expansion then f has the limit shadowing property.

• Journal of architectural history
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• v.30 no.6
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• pp.23-32
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• 2021

This study was described with a focus on the maintenance and management of Local Confucian School(Hyanggyo) architecture, centering around cases investigated through official documents written in the 1910s. In 1910, by the Japanese imperial rule, the regulations on Local Confucian School(Hyanggyo) property were enacted, and the income was paid solely to elementary school education expenses and ancestral rites. Through this process, many Local Confucian School(Hyanggyo) buildings were destroyed while only the space for ritual sacrifices remained by the Japanese colonial rule. In particular, as the land, which was the basis of Local Confucian School's property, was sold for various reasons, the finances gradually deteriorated. In addition, as the architectural acts that Local Confucian School preserves itself are restricted, it loses its original character. This study was of great significance that identified the intention to dispose of Local Confucian School(Hyanggyo) property by Japanese imperialism in the 1910s and clarified the purpose of its disposal.

• Journal of the Chungcheong Mathematical Society
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• v.11 no.1
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• pp.73-85
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• 1998

This paper deals with the topological stability of continuous maps. First, the notion of local expansion is given and we show that local expansions of compact metric spaces have the shadowing property. Also, we prove that if a continuous surjective map f is a local homeomorphism and local expansion, then f is topologically stable in the class of continuous surjective maps. Finally, we find homeomorphisms which are not topologically stable.

• Kyungpook Mathematical Journal
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• v.49 no.2
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• pp.313-319
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• 2009

In the present paper, a theorem dealing with local property of ${\mid}\;\overline{N},p_n,{\theta}_n\;{\mid}_k$ summability of factored Fourier series which generalizes a result of Mazhar [8], has been proved. Some new results have also been obtained.

• Honam Mathematical Journal
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• v.31 no.2
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• pp.137-145
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• 2009

Let T ${\in}$ $\mathcal{L}$(X), S ${\in}$ $\mathcal{L}$(Y ), A ${\in}$ $\mathcal{L}$(X, Y ) and B ${\in}$ $\mathcal{L}$(Y,X) such that SA = AT, TB = BS, AB = S and BA = T. Then S and T shares that same local spectral properties SVEP, property (${\beta}$), property $({\beta})_{\epsilon}$, property (${\delta}$) and decomposability. From these common local spectral properties, we give some results related with Aluthge transforms and subscalar operators.

• Health Policy and Management
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• v.31 no.3
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• pp.364-373
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• 2021

Background: This study aims to examine the regressiveness of national health insurance (NHI) premium burdens for local subscribers. The government has established a restructuring of health insurance contributions in 2017. Therefore, insurance premium reform began in 2018 and the second national health insurance premium reform will be carried out in 2022. We will analyze local subscribers before and after the policy reform of 2018. Methods: This study used data from 'local premium imposition elements' in the health insurance statistics annual reports (2017-2019) on National Health Insurance Service (NHIS). This study was calculated contribution rates according to levels of income and property for local insured by the method of comparing. Simulations of primary and secondary reforms were conducted in the study to determine regressiveness. Results: Insurance premiums for local subscribers were analyzed separately by income and property insurance premiums. In the income premium analysis, the higher the income, the lower the premium rate, and then the fixed rate was maintained from a certain section. The regressiveness of income insurance premiums has been eased in part. On the other hand, the property insurance premium burden was found to be regressive still by income class. Conclusion: Regressiveness analysis showed that a decrease in income contributions was achieved to local insured in the first phase of reform. But in the second phase of reform, more consideration should be given to reductions of property premium portions of local subscribers. Based on the results, the author suggested policy discussions to reorganizing the new systems of NHI contribution of local Insured.

• Journal of applied mathematics & informatics
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• v.39 no.3_4
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• pp.487-496
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• 2021

In this paper we show that if A ∈ L(X) and B ∈ L(Y), X and Y complex Banach spaces, then A ⊕ B ∈ L(X ⊕ Y) is subscalar if and only if both A and B are subscalar. We also prove that if A, Q ∈ L(X) satisfies AQ = QA and Q^p = 0 for some nonnegative integer p, then A has property (C) (resp. property (𝛽)) if and only if so does A + Q (resp. property (𝛽)). Finally, we show that A ∈ L(X, Y) and B, C ∈ L(Y, X) satisfying operator equation ABA = ACA and BA ∈ L(X) is subscalar with property (𝛿) then both Lat(BA) and Lat(AC) are non-trivial.

• Journal of the Chungcheong Mathematical Society
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• v.28 no.3
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• pp.419-429
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• 2015

In this paper, we study properties SVEP, Bishop's property (${\beta}$), property (${\delta}$), decomposability, property $({\beta})_{\epsilon}$, subscalarity, Kato spectrum, generalized Kato decomposition, finite ascent for bounded linear operators in Banach spaces.

• Proceedings of the Korean Society of Broadcast Engineers Conference
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• 2013.11a
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• pp.8-11
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• 2013

We implement the foveation and frequency sensitivity feature of human visual system in discrete cosine transform (DCT) domain. Resolution of human visual perception decays as distance from the eye-focused point, known as foveation property, and the middle frequency components give most pleasant image quality to human than the low and high frequency components, which is the frequency sensitivity property of human visual system. For satisfying the foveation property, we enhanced the local contrast at the focused regions and smoothed local contrast at the non-focused regions in the DCT domain without bringing the blocking and ringing artifacts. Moreover, the energies at each DCT frequency components is modified with various degree to fulfill the frequency sensitivity property. The proposed method is verified by the subjective and objective evaluations that it can the improve the human perceptual visual quality.