• 제목/요약/키워드: k-continuity

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WEYL'S THEOREM, TENSOR PRODUCT, FUGLEDE-PUTNAM THEOREM AND CONTINUITY SPECTRUM FOR k-QUASI CLASS An* OPERATO

  • Hoxha, Ilmi;Braha, Naim Latif
    • 대한수학회지
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    • 제51권5호
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    • pp.1089-1104
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    • 2014
  • An operator $T{\in}L(H)$, is said to belong to k-quasi class $A_n^*$ operator if $$T^{*k}({\mid}T^{n+1}{\mid}^{\frac{2}{n+1}}-{\mid}T^*{\mid}^2)T^k{\geq}O$$ for some positive integer n and some positive integer k. First, we will see some properties of this class of operators and prove Weyl's theorem for algebraically k-quasi class $A_n^*$. Second, we consider the tensor product for k-quasi class $A_n^*$, giving a necessary and sufficient condition for $T{\otimes}S$ to be a k-quasi class $A_n^*$, when T and S are both non-zero operators. Then, the existence of a nontrivial hyperinvariant subspace of k-quasi class $A_n^*$ operator will be shown, and it will also be shown that if X is a Hilbert-Schmidt operator, A and $(B^*)^{-1}$ are k-quasi class $A_n^*$ operators such that AX = XB, then $A^*X=XB^*$. Finally, we will prove the spectrum continuity of this class of operators.

사회자본이 경제적 성과와 비경제적 성과에 미치는 영향: 사회자본 차원들의 인과관계를 고려한 접근 (The Effects of Social Capital on the Economic and Noneconomic Performance: Considering the Causal Relationship of Dimensions of Social Capital)

  • 배상욱;윤한성
    • 한국유통학회지:유통연구
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    • 제15권1호
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    • pp.73-101
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    • 2010
  • 본 연구는 유대강도, 공유된 목표, 신뢰와 같은 사회자본이 경제적 성과와 비경제적 성과인 관계지속의도에 미치는 영향에 대하여 부산지역 프랜차이즈 가맹점을 대상으로 공변량 구조방정식모형을 통하여 실증분석하였다. 그 결과 첫째, 유대강도는 관계지속의도에 직접적인 영향을 미치지는 못하지만 신뢰와 경제적 성과를 매개로 간접적으로 긍정적인 영향을 미치는 것으로 나타났다. 둘째, 공유된 가치는 관계지속의도에 직접적인 영향은 물론 신뢰를 매개로 간접적으로 긍정적인 영향을 미치는 것으로 나타났다. 하지만 공유된 목표가 경제적 성과를 매개로 하여 관계지속의도에 영향을 미치지 않는 것으로 나타났다. 마지막으로 이러한 결과들을 토대로 본 연구의 이론적 실무적 시사점을 제시하였다.

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의류상품 구매고객과 판매원간 관계효익과 신뢰 및 관계몰입이 관계지속의도에 미치는 영향 (The Effect of Relationship Benefit, Trust and Commitment on Relationship Continuity Intention Between Apparel Purchaser and Salesperson)

  • 홍병숙
    • 대한가정학회지
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    • 제46권4호
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    • pp.37-45
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    • 2008
  • The purpose of this study is to investigate how relationship benefit affect trust and commitment, and how trust and commitment affect relationship continuity intention between apparel purchaser and salesperson. For the research, it was surveyed to 230 females in their 20's, who lives in Seoul and Kyeonggi on Feb 10th to 15th in 2007. With SPSS 11.0 program, the data was analysed by frequency analysis, reliability analysis, factor analysis and multiple regression analysis. The results are as follows: First, regarding to the results of factor analysis on relationship benefit, trust and commitment, the relationship benefit factor was divided into the social, psychological and economic benefits. The trust factor was divided into the professional and considerable trust, and the commitment factor was divided into the emotional and calculative commitment. Second, as investigating how relationship benefit affect trust and commitment during purchasing apparel, social and psychological benefits affected professional trust. The psychological benefit only affected to considerable trust. Also social and psychological benefit were statically affected to emotional commitment, economic benefit and psychological benefit were affected to calculative commitment. Third, relationship continuity intention was affected to professional and considerable trust, and emotional commitment.

다양한 과제와 맥락에서의 학습 전략과 목표의 연속성과 변환 (The Continuity and Transformation of Learning Strategies and Goals in Children's Activities across Settings and Tasks)

  • 김래영
    • 한국학교수학회논문집
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    • 제13권4호
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    • pp.635-653
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    • 2010
  • 각기 다른 상황에서 각기 다른 활동을 통하여 이루어진 학습의 연속성과 그 변환 과정을 살펴보고, 이 때 일어나는 학습자의 목표와 활동 사이의 관계, 그리고 타인과의 상호작용의 영향을 분석하는 것이 본 연구의 목적이다. 이를 위하여, 5명의 학생들을 각기 다른 상황에서 확률과 관련된 다양한 활동들을 해 보게 하였으며, 집단 면담과 개별 면담, 관찰 등을 통하여 그들의 학습과정 및 사고를 분석하였다. 그 결과, 다양한 상황과 활동 속에서 타인과의 상호작용을 통하여 초기 학습 목표를 수정하여 새로운 목표를 설정하고 다른 활동에서 다시 이를 조정, 발전시키는 반복 과정을 통해 학습의 연속성과 변환이 발생하였으며, 특히, 타인과의 상호작용이 새로운 목표 설정과 전략을 수립하는 데에 결정적 역할을 함을 알 수 있었다. 이는 학습자의 인지 발달 및 수학 학습에 있어 적절한 과제 제시와 교사 역할의 중요성뿐만 아니라 학교와 학교 외 활동간의 높은 연속성이 학습을 촉진하고 의미 있게 할 수 있다는 가능성을 제시한다.

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터널 채널파를 이용한 사갱 연장성 규명 (Estimation of the continuity of inclined pits by tunnel channel wave investigation)

  • 김중열;방기문;정현기
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 2002년도 봄 학술발표회 논문집
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    • pp.229-236
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    • 2002
  • In this paper, a new novel technique of seismic survey is introduced to estimate the continuity of inclined pits filled with water, It was assumed that the pits would be connected to an abandoned railway tunnel that might be constructed in the past. Thus, detection of pit end was needed for the design of a new highway tunnel(Yukshimreong tunnel) that was likely to be met with a pit. In the beginning of exploration, no reliable, cost effective method was available. Hence, focus of interest moved toward the high impedance contrast(reflection coefficient k∼0.8) between water and rock. In this special model of sequence rock-water-rock, total reflection occurs and the seismic energy, when it is generated in the pit water, is nearly confined to the pit so that seismic waves can propagate much further within the pit. As a matter of convenience, this is called“tunnel channel wave”. With these considerations in mind, seismic detonator(2g) was used as a source at the entrance of pit, whereas hydrophone chain(hydrophone interval=1m) was placed on the bottom of pit. With this appropriate source-receiver arrangement, desirable down-going and up-going waves could be observed that will help conform the continuity of pits. After about one year, it was ascertained that the inclined pit of interest was just nearby crossed with the newly excavated tunnel, as it was predicted.

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ON INTUITIONISTIC FUZZY SUBSPACES

  • Ramadan, Ahmed Abd El-Kader;El-Latif, Ahmed Aref Abd
    • 대한수학회논문집
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    • 제24권3호
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    • pp.433-450
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    • 2009
  • We introduce a new concept of intuitionistic fuzzy topological subspace, which coincides with the usual concept of intuitionistic fuzzy topological subspace due to Samanta and Mondal [18] in the case that $\mu=X_A$ for A $\subseteq$ X. Also, we introduce and study some concepts such as continuity, separation axioms, compactness and connectedness in this sense.

APPROXIMATION BY GENUINE LUPAŞ-BETA-STANCU OPERATORS

  • KUMAR, ALOK;VANDANA, VANDANA
    • Journal of applied mathematics & informatics
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    • 제36권1_2호
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    • pp.15-28
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    • 2018
  • In this paper, we introduce a Stancu type generalization of genuine LupaŞ-Beta operators of integral type. We establish some moment estimates and the direct results in terms of classical modulus of continuity, Voronovskaja-type asymptotic theorem, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function. Lastly, we propose a king type modification of these operators to obtain better estimates.

A NOTE ON SPECTRAL CONTINUITY

  • JEON, IN HO;KIM, IN HYOUN
    • Korean Journal of Mathematics
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    • 제23권4호
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    • pp.601-605
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    • 2015
  • In the present note, provided $T{\in}{\mathfrak{L}}({\mathfrak{H}})$ is biquasitriangular and Browder's theorem hold for T, we show that the spectrum ${\sigma}$ is continuous at T if and only if the essential spectrum ${\sigma}_e$ is continuous at T.

ON A SEQUENCE OF KANTOROVICH TYPE OPERATORS VIA RIEMANN TYPE q-INTEGRAL

  • Bascanbaz-Tunca, Gulen;Erencin, Aysegul;Tasdelen, Fatma
    • 대한수학회보
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    • 제51권2호
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    • pp.303-315
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    • 2014
  • In this work, we construct Kantorovich type generalization of a class of linear positive operators via Riemann type q-integral. We obtain estimations for the rate of convergence by means of modulus of continuity and the elements of Lipschitz class and also investigate weighted approximation properties.

ON STATISTICAL APPROXIMATION PROPERTIES OF MODIFIED q-BERNSTEIN-SCHURER OPERATORS

  • Ren, Mei-Ying;Zeng, Xiao-Ming
    • 대한수학회보
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    • 제50권4호
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    • pp.1145-1156
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    • 2013
  • In this paper, a kind of modified $q$-Bernstein-Schurer operators is introduced. The Korovkin type statistical approximation property of these operators is investigated. Then the rates of statistical convergence of these operators are also studied by means of modulus of continuity and the help of functions of the Lipschitz class. Furthermore, a Voronovskaja type result for these operators is given.