• 제목/요약/키워드: operators

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A Note on Dunford-Pettis Operators

  • Kim, Young Kook
    • 한국수학교육학회지시리즈A:수학교육
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    • 제25권3호
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    • pp.43-45
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    • 1987
  • In this paper we will investigate the relations between Dunford-Pettis operators and weakly compact operators. And we get a characterization of a Banach space with the RNP.

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通信人力의 需給均衡化에 關한 硏究 - 地域 및 海域別 無線通信을 중심으로 - (A Study on the Balancing of the Demand and Supply of Radio Operators)

  • 나경식;김정부;이영철;김기문
    • 한국항해학회지
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    • 제16권2호
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    • pp.53-78
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    • 1992
  • GMDSS-the Global Maritime Distress and Safety system which is utilizing the new technologies such as satellite communication system, DSC and NBCP-is effectuated not only by the amendment of SOLAS but also by the conference of RR and IMO's MSC, and will be the major factor of the variation of the demand and supply of Radio Operators. To cope with the GMDSS voluntarily, regulations relating to the radio installation, the posting of Radio Operators, the bounds of duty, etc. must be established and the demand and supply of Radio Operators which take charge of the system must be accomplished pertinently. In this study, the authors suggested some practical schemes to improve the effect of policy as follow. 1. The Ministry of Communication must supervise strictly the arrangement of Radio Operators, especially relating tot he legally qualified complement of Radio Station, and must review the official certification system to upgrade the quality of Radio Operators. 2. The Ministry of Communication must take overall charge of the qualitifications and technical standards of Radio Operators, the extent of their engagement, etc. which are provided by International Regulations. 3. Relating Administrations must cooperate with Shipping Companies in onboard-training to foster and ensure the manpower of Radio Operators. 4. Institutional devices to drive the resolute investment in education and training for mariners, especially for the ship's officers, must be prepared. 5. The Communication Administration and the Korea Maritime and Port Adminstration(KMPA) must cooperate mutually in the balance of the demand and supply of Radio Operators and use make their best to realize more harmonious policies on the demand and supply of manpower.

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도로선형최적화를 위한 유전자 연산자의 적용 (Incorporating Genetic Operators into Optimizing Highway Alignments)

  • 김응철
    • 대한교통학회지
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    • 제22권2호
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    • pp.43-54
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    • 2004
  • 본 연구에서는 인공지능(Artificial Intelligence)방법 중의 하나인 유전자 알고리즘(Genetic Algorithm)을 도로선형최적화 모형개발의 탐색엔진으로 활용하기 위한 핵심도구인 유전자 연산자(Genetic Operator)의 개발과 적용과정을 통해 그 특징과 유용성을 제시하였다. 균일돌연변이 연산자, 직선돌연변이 연산자. 비균일 돌연변이 연산자, 전체 비균일 돌연변이 연산자 등 4개의 돌연변이 연산자가 탐색영역(Search space)의 가능한 모든 부분을 탐험(Exploration)하기 위해 적용되었으며, 단순교차 연산자, 두 개의 점을 이용한 교차 연산자, 산술교차 연산자, 학습교차 연산자 등 4개의 교차 연산자가 노선대안의 우수한 유전형질을 다음세대에 효과적으로 전달(Exploitation)하기 위해 시험되었다. 사례연구와 민감도 분석과정을 통해 유전자 알고리즘 및 개발 적용된 8개 유전자 연산자의 도로선형최적화과정 도입이 우수한 노선대안을 빠르고 효과적으로 탐색함을 알 수 있었으며, 돌연변이 연산자와 교차 연산자의 효과적 조합이 상호보완기능을 통해 탐색능력의 향상에 큰 영향을 끼치는 것으로 파악되었다. 또한, 개발 적용된 연산자 이외에도 새로운 연산자의 개발 가능성이 무한하며, 이는 도로선형최적화에 유전자 알고리즘의 적용이 타당함을 반증함도 주목할 만하다.

GENERALIZED WEYL'S THEOREM FOR ALGEBRAICALLY $k$-QUASI-PARANORMAL OPERATORS

  • Senthilkumar, D.;Naik, P. Maheswari;Sivakumar, N.
    • 충청수학회지
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    • 제25권4호
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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.

The Operators' Non-compliance Behavior to Conduct Emergency Operating Procedures - Comparing with the Complexity of the Procedural Steps

  • Park Jinkyun;Jung Wondea
    • Nuclear Engineering and Technology
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    • 제35권5호
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    • pp.412-425
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    • 2003
  • According to the results of related studies, one of the typical factors related to procedure related human errors is the complexity of procedures. This means that comparing the change of the operators' behavior with respect to the complexity of procedures may be meaningful in clarifying the reasons for the operators' non-compliance behavior. In this study, to obtain data related to the operators' non-compliance behavior, emergency training records were collected using a full scope simulator. And three types of the operators' behavior (such as strict adherence, skipping redundant actions and modifying action sequences) observed from the collected emergency training records were compared with the complexity of the procedural steps. As the results, two remarkable relationships are obtained. They are: 1) the operators seem to frequently adopt non-compliance behavior to conduct the procedural steps that have an intermediate procedural complexity, 2) the operators seems to accommodate their non-compliance behavior to the complexity of the procedural steps. Therefore, it is expected that these relationships can be used as meaningful clues not only to scrutinize the reason for non-compliance behavior but also to suggest appropriate remedies for the reduction of non-compliance behavior that can result in procedure related human error.

UPPER TRIANGULAR OPERATORS WITH SVEP

  • Duggal, Bhagwati Prashad
    • 대한수학회지
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    • 제47권2호
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    • pp.235-246
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    • 2010
  • A Banach space operator A $\in$ B(X) is polaroid if the isolated points of the spectrum of A are poles of the resolvent of A; A is hereditarily polaroid, A $\in$ ($\mathcal{H}\mathcal{P}$), if every part of A is polaroid. Let $X^n\;=\;\oplus^n_{t=i}X_i$, where $X_i$ are Banach spaces, and let A denote the class of upper triangular operators A = $(A_{ij})_{1{\leq}i,j{\leq}n$, $A_{ij}\;{\in}\;B(X_j,X_i)$ and $A_{ij}$ = 0 for i > j. We prove that operators A $\in$ A such that $A_{ii}$ for all $1{\leq}i{\leq}n$, and $A^*$ have the single-valued extension property have spectral properties remarkably close to those of Jordan operators of order n and n-normal operators. Operators A $\in$ A such that $A_{ii}$ $\in$ ($\mathcal{H}\mathcal{P}$) for all $1{\leq}i{\leq}n$ are polaroid and have SVEP; hence they satisfy Weyl's theorem. Furthermore, A+R satisfies Browder's theorem for all upper triangular operators R, such that $\oplus^n_{i=1}R_{ii}$ is a Riesz operator, which commutes with A.

GENERALIZED (C, r)-HANKEL OPERATOR AND (R, r)-HANKEL OPERATOR ON GENERAL HILBERT SPACES

  • Jyoti Bhola;Bhawna Gupta
    • 대한수학회논문집
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    • 제38권3호
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    • pp.821-835
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    • 2023
  • Hankel operators and their variants have abundant applications in numerous fields. For a non-zero complex number r, the r-Hankel operators on a Hilbert space 𝓗 define a class of one such variant. This article introduces and explores some properties of two other variants of Hankel operators namely kth-order (C, r)-Hankel operators and kth-order (R, r)-Hankel operators (k ≥ 2) which are closely related to r-Hankel operators in such a way that a kth-order (C, r)-Hankel matrix is formed from rk-Hankel matrix on deleting every consecutive (k - 1) columns after the first column and a kth-order (R, rk)-Hankel matrix is formed from r-Hankel matrix if after the first column, every consecutive (k - 1) columns are deleted. For |r| ≠ 1, the characterizations for the boundedness of these operators are also completely investigated. Finally, an appropriate approach is also presented to extend these matrices to two-way infinite matrices.

국내 열병합발전사업의 기술적 생산효율성 추정 및 사업구조 평가: 16개 집단에너지사업자에 대한 패널 확률프론티어모형(SFA) 분석 (Evaluation of Technical Production Efficiency and Business Structure of Domestic Combined Heat and Power (CHP) Operators: Panel Stochastic Frontier Model Analysis for 16 Collective Energy Operators)

  • 임형우;김재혁;신동현
    • 자원ㆍ환경경제연구
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    • 제30권4호
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    • pp.557-579
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    • 2021
  • 집단에너지는 에너지전환의 중간단계이자, 분산전원으로서 전력구조에 미치는 영향이 크다. 하지만 최근 일부 집단에너지사업자의 수익성 악화로 인해 집단에너지사업의 문제가 대두되고 있다. 본 연구는 우리나라 집단에너지사업자의 기술적 생산효율성 추정을 통해, 주요 사업자의 기술적 생산효율성을 측정하였으며 이를 바탕으로 사업자의 수익구조 개선방안을 살펴보았다. 16개 집단에너지사업자의 2016~19년 세부 재무 및 생산 자료를 수집한 후, 패널 확률 프론티어모형을 이용하여 사업자들의 기술적 생산효율성을 추정하였다. 추정 결과, 증기공급병행, 대형 전기중심, 소규모 구역전기, 역송CHP 사업자 순으로 생산효율성이 높음을 확인하였다. 더 나아가 수익성 영향요인에 대해 살펴본 결과, 기술적 생산효율성은 전반적으로 수익성과 양(+)의 영향 관계를 가지나, 소규모 구역전기사업자와 같이 열 생산 비중이 높은 사업자는 수익성이 악화됨을 확인하였다. 이는 현재 열 판매 시장의 구조적 한계로 인한 현상이며, 수익성 개선을 위해서는 열 판매단가에 대한 조정이 필요함을 확인하였다.

QUASI SIMILARITY AND INJECTIVE p-QUASIHYPONORMAL OPERATORS

  • Woo, Young-Jin
    • 대한수학회보
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    • 제42권3호
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    • pp.653-659
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    • 2005
  • In this paper it is proved that quasisimilar n-tuples of tensor products of injective p-quasihyponormal operators have the same spectra, essential spectra and indices, respectively. And it is also proved that a Weyl n-tuple of tensor products of injective p-quasihyponormal operators can be perturbed by an n-tuple of compact operators to an invertible n-tuple.

HYPONORMAL TOEPLITZ OPERATORS ON THE BERGMAN SPACE. II.

  • Hwang, In-Sung;Lee, Jong-Rak
    • 대한수학회보
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    • 제44권3호
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    • pp.517-522
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    • 2007
  • In this paper we consider the hyponormality of Toeplitz operators $T_\varphi$ on the Bergman space $L_\alpha^2(\mathbb{D})$ with symbol in the case of function $f+\bar{g}$ with polynomials f and g. We present some necessary conditions for the hyponormality of $T_\varphi$ under certain assumptions about the coefficients of $\varphi$.