• 대한수학회보
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• 제60권5호
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• pp.1201-1219
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• 2023

We characterize the boundedness and compactness of differences of weighted composition operators acting from weighted Bergman spaces A^p_ω to Lebesgue spaces L^q(dµ) for all 0 < p, q < ∞, where ω is a radial weight on the unit disk admitting a two-sided doubling condition.

• East Asian mathematical journal
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• 제25권1호
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• pp.45-53
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• 2009

In this paper, by using the technique of the resolvent operators, we study the behaviour and sensitivity analysis of the solutions set for a class of parametric completely generalized nonlinear variational inclusions with set-valued mappings.

• 대한수학회보
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• 제60권3호
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• pp.845-848
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• 2023

Erratum/Addendum to the paper "Biisometric operators and biorthogonal sequences" [Bull. Korean Math. Soc. 56 (2019), No. 3, pp. 585-596].

• 대한수학회보
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• 제60권4호
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• pp.1061-1070
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• 2023

In this paper, we study products of composition, multiplication and differentiation acting on the fractional Cauchy spaces and mapping into the Zygmund space. Characterizations are provided for boundedness and compactness of these operators.

• 대한인간공학회지
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• 제10권2호
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• pp.3-13
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• 1991

As the VDT work constrains work postures because of its work characteristics. VDT worksta- tions should be properly designed so as to be fitted to various types of physical conditions of op- erators. Therefore, in this study, the preferred settings of VDT wrokstation dimensions of operators. Therefore, in this study, the preferred settings of VDT workstation dimensions and work postures were studied in order to determine the appropriate dimensions and the work postures for VDT operators which will alleviate the musculoskeletal troubles or visual fatigue. The scpoe of the study is as follows. 1. Measurement and analysis of the preferred settings of the height of workstation, keyboard, seat, and screen among the experienced VDT operators. 2. Anaysis of the relationship between the preferred settings of workstation height and the seat height control among the experienced VDT operators. 3. Analysis of the work postures of the experienced VDT operators.

• 대한수학회지
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• 제53권2호
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• pp.347-362
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• 2016

In this paper, we are concerned with abstract random linear operators on probabilistic unitary spaces which are a generalization of generalized random linear operators on a Hilbert space defined in [25]. The representation theorem for abstract random bounded linear operators and some results on the adjoint of abstract random linear operators are given.

• 정보관리학회지
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• 제10권1호
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• pp.53-63
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• 1993

AND와 OR에 대한 연삭식으로 MIN과 MAX를 사용하는 기존의 퍼지 집합 모델은 많은 경우에 사람이 생각하는 것과 다른 문서값을 생성하기 때문에 정보 검색 모델로서 부적합하다고 비판되어 왔다. 퍼지 집합 이론이 도입된 이후로 AND OR에 대한 연삭식으로 다양한 퍼지 연산자들이 개발되어 왔다. 본 논문에서는 이러한 퍼지 연산자들의 문서값 생성 특성을 분석하고, MIN과 MAX 대신에 긍정적 보상 연산자라 불리는 퍼지 연산자를 사용할 것을 제안한다. 긍정적 보상 연산자를 사용하는 퍼지 집합 모델이 보다 우수한 검색 효율을 제공함을 실험을 통하여 입증한다.

• Structural Engineering and Mechanics
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• 제45권4호
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• pp.495-519
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• 2013

This paper investigates properties of integral operators in complex variable boundary integral equation in plane elasticity, which is derived from the Somigliana identity in the complex variable form. The generalized Sokhotski-Plemelj's formulae are used to obtain the BIE in complex variable. The properties of some integral operators in the interior problem are studied in detail. The Neumann and Dirichlet problems are analyzed. The prior condition for solution is studied. The solvability of the formulated problems is addressed. Similar analysis is carried out for the exterior problem. It is found that the properties of some integral operators in the exterior boundary value problem (BVP) are quite different from their counterparts in the interior BVP.

• 대한수학회보
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• 제51권2호
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• pp.357-371
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• 2014

We shall show that the Riesz idempotent $E_{\lambda}$ of every *-paranormal operator T on a complex Hilbert space H with respect to each isolated point ${\lambda}$ of its spectrum ${\sigma}(T)$ is self-adjoint and satisfies $E_{\lambda}\mathcal{H}=ker(T-{\lambda})= ker(T-{\lambda})^*$. Moreover, Weyl's theorem holds for *-paranormal operators and more general for operators T satisfying the norm condition $||Tx||^n{\leq}||T^nx||\,||x||^{n-1}$ for all $x{\in}\mathcal{H}$. Finally, for this more general class of operators we find a sufficient condition such that $E_{\lambda}\mathcal{H}=ker(T-{\lambda})= ker(T-{\lambda})^*$ holds.

• 대한수학회보
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• 제41권3호
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• pp.457-464
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• 2004

Let X be a Banach space and Z a closed subspace of a Banach space Y. Denote by Ｌ(X, Y) the space of all bounded linear operators from X to Y and by Ｋ(X, Y) its subspace of compact linear operators. Using Hahn-Banach extension operators corresponding to ideal projections, we prove that if either $X^{**}$ or $Y^{*}$ has the Radon-Nikodym property and Ｋ(X, Y) is an M-ideal (resp. an HB-subspace) in Ｌ(X, Y), then Ｋ(X, Z) is also an M-ideal (resp. HB-subspace) in Ｌ(X, Z). If Ｌ(X, Y) has property SU instead of being an M-ideal in Ｌ(X, Y) in the above, then Ｋ(X, Z) also has property SU in Ｌ(X, Z). If X is a Banach space such that $X^{*}$ has the metric compact approximation property with adjoint operators, then M-ideal (resp. HB-subspace) property of Ｋ(X, Y) in Ｌ(X, Y) is inherited to Ｋ(X, Z) in Ｌ(X, Z).