• Title/Summary/Keyword: T-product

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WEYL'S THEOREM AND TENSOR PRODUCT FOR OPERATORS SATISFYING T*k|T2|Tk≥T*k|T|2Tk

  • Kim, In-Hyoun
    • 대한수학회지
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    • 제47권2호
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    • pp.351-361
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    • 2010
  • For a bounded linear operator T on a separable complex infinite dimensional Hilbert space $\mathcal{H}$, we say that T is a quasi-class (A, k) operator if $T^{*k}|T^2|T^k\;{\geq}\;T^{*k}|T|^2T^k$. In this paper we prove that if T is a quasi-class (A, k) operator and f is an analytic function on an open neighborhood of the spectrum of T, then f(T) satisfies Weyl's theorem. Also, we consider the tensor product for quasi-class (A, k) operators.

A TIME-INDEPENDENT CONDITIONAL FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION PRODUCT ON AN ANALOGUE OF WIENER SPACE

  • Cho, Dong Hyun
    • 호남수학학술지
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    • 제35권2호
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    • pp.179-200
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    • 2013
  • Let $C[0,t]$ denote the function space of all real-valued continuous paths on $[0,t]$. Define $X_n:C[0,t]{\rightarrow}\mathbb{R}^{n+1}$ by $Xn(x)=(x(t_0),x(t_1),{\cdots},x(t_n))$, where $0=t_0$ < $t_1$ < ${\cdots}$ < $t_n$ < $t$ is a partition of $[0,t]$. In the present paper, using a simple formula for the conditional expectation given the conditioning function $X_n$, we evaluate the $L_p(1{\leq}p{\leq}{\infty})$-analytic conditional Fourier-Feynman transform and the conditional convolution product of the cylinder functions which have the form $$f((v_1,x),{\cdots},(v_r,x))\;for\;x{\in}C[0,t]$$, where {$v_1,{\cdots},v_r$} is an orthonormal subset of $L_2[0,t]$ and $f{\in}L_p(\mathbb{R}^r)$. We then investigate several relationships between the conditional Fourier-Feynman transform and the conditional convolution product of the cylinder functions.

CONDITIONAL FOURIER-FEYNMAN TRANSFORM AND CONVOLUTION PRODUCT OVER WIENER PATHS IN ABSTRACT WIENER SPACE: AN Lp THEORY

  • Cho, Dong-Hyun
    • 대한수학회지
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    • 제41권2호
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    • pp.265-294
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    • 2004
  • In this paper, using a simple formula, we evaluate the conditional Fourier-Feynman transforms and the conditional convolution products of cylinder type functions, and show that the conditional Fourier-Feynman transform of the conditional convolution product is expressed as a product of the conditional Fourier-Feynman transforms. Also, we evaluate the conditional Fourier-Feynman transforms of the functions of the forms exp {$\int_{O}^{T}$ $\theta$(s,$\chi$(s))ds}, exp{$\int_{O}^{T}$ $\theta$(s,$\chi$(s))ds}$\Phi$($\chi$(T)), exp{$\int_{O}^{T}$ $\theta$(s,$\chi$(s))d${\zeta}$(s)}, exp{$\int_{O}^{T}$ $\theta$(s,$\chi$(s))d${\zeta}$(s)}$\Phi$($\chi$(T)) which are of interest in Feynman integration theories and quantum mechanics.

A NOTE ON GCR-LIGHTLIKE WARPED PRODUCT SUBMANIFOLDS IN INDEFINITE KAEHLER MANIFOLDS

  • Kumar, Sangeet;Pruthi, Megha
    • 대한수학회논문집
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    • 제36권4호
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    • pp.783-800
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    • 2021
  • We prove the non-existence of warped product GCR-lightlike submanifolds of the type K × λ KT such that KT is a holomorphic submanifold and K is a totally real submanifold in an indefinite Kaehler manifold $\tilde{K}$. Further, the existence of GCR-lightlike warped product submanifolds of the type KT × λ K is obtained by establishing a characterization theorem in terms of the shape operator and the warping function in an indefinite Kaehler manifold. Consequently, we find some necessary and sufficient conditions for an isometrically immersed GCR-lightlike submanifold in an indefinite Kaehler manifold to be a GCR-lightlike warped product, in terms of the canonical structures f and ω. Moreover, we also derive a geometric estimate for the second fundamental form of GCR-lightlike warped product submanifolds, in terms of the Hessian of the warping function λ.

소비자의 정보기술 혁신제품 수용 단계화 연구 - 스마트폰의 제품과 애플리케이션을 중심으로 - (A Study on Consumer's Acceptance Phase of Innovative IT Product - Focusing on Product and Application of Smartphone -)

  • 임양환
    • 디지털산업정보학회논문지
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    • 제8권3호
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    • pp.185-198
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    • 2012
  • This paper is to analyze consumer's acceptance phase of innovative IT product on the ground of dividing into product and application phase. In the acceptance phase of product determinants to consumer's satisfaction were analyzed and TAM(Technology Acceptance Model) were applied to the acceptance phase of application. It is analyzed that how well expected usefulness and perceived satisfaction to product have positively influence its performance and perceived satisfaction respectively in the acceptance phase of the product. In the acceptance phase of application, factors to consumers' satisfaction were analyzed to investigate its influence to the usefulness of application. Usefulness expectancy to the application and product were analyzed to figure out consumers'intention to use the product and effort and cost going into application use were also analyzed. Empirical study was implemented aimed at smart phone users. As a result, perceived usefulness expectancy to product have positively influence on perceived product performance and perceived product performance also affects perceived product satisfaction significantly. Although product satisfaction doesn't affect usefulness expectancy to the application, usefulness expectancy to the product and perceived product performance have positively influence on usefulness expectancy to the application significantly. And also usefulness expectancy to the both of application and product have positively influence on consumer's intention to use the product but consumer's effort and cost going into application doesn't affect to it, it's hold forth the possibility that consumer's effort affect consumer's intention to use the product.

마케팅 전략에 따른 리뉴얼 디자인 전개에 관한 연구 (A study on the renewal design development of marketing strategy)

  • 신홍재;함재룡
    • 디자인학연구
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    • 16호
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    • pp.1-14
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    • 1996
  • 최근 기업에서의 마케팅 전략은 다변화하고 있으며 이런 가운데 신제품 개발 유형이 다양화되고 있다. 그 유형은 신 개념 제품개발, 혁신적 제품개발, 신 브랜드 제품개발, 기존제품 개량, 모델 체인지 개발 등을 들 수 잇다. 여기서 신제품 개발 디자인 프로세스의 과학적 접근방법의 발달로 인해 각 유형별 제품개발에 있어서 디자인 전개방법은 유사하게 진행되지만 유형에 따라 디자인 접근 또는 전략적 측면에서 다각화된 디자인 전개방법이 요구되고 있다. 그리고 성숙기에 접어든 기존 상품을 시대적 환경변화에 따라 대처하는 제품개량을 통하여 기존제품에 라이프 사이클을 연장하려면, 기업의 대내외적 환경변화에 부합되는 소비자 요구, 가치관, 기호성향에 대응할 수 있는 개선된 디자인 활용이 점점 더 중요해지고 있다. 그러나 디자인 전개기법을 활용하여 디자인된 대안이 사용자의 요구, 평가, 검증을 하는데 있어 명확한 디자인을 결정하기란 매우 어려운 실정이다. 이와 같이 문제를 인식하고 시장에서 성공한 기존상품개량에 경영적 마케팅전략을 수용하여 소비자 라이프 스타일 변화에 적극적으로 대응할 수 있는 리뉴얼 디자인 전개방법을 제시하고, 대내외부 고객의 요구를 수용하여 디자인 대안의 평가, 검증, 확인을 통한 고객만족을 통해 리뉴얼 디자인 전략을 수행할 수 있는 것이 바로 리뉴얼 디자인 전개방법이라 할 수 있다. 따라서 본 연구는 기존상품의 리뉴얼 디자인 전개과정을 통하여 급변하는 시대적 환경변화에 신속히 대응하고, 사용자의 욕구를 만족시키는 상품을 개발함과 동시에 오랫동안 지속시킬 수 있는 전략을 수반할 수 있는 리뉴얼 디자인 전개방법을 제시하는 것을 목표로 하였다.

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감귤 부산물을 급여한 제주도 토종 닭고기가 흰쥐의 지질대사, 단백질 농도 및 효소 활성에 미치는 영향 (Effects of Supplementing Jeju Native Chicken Meat Fed a Tangerine By-product on Lipid Metabolism, Protein Levels and Enzyme Activities in White Rats)

  • 문윤희;양승주;정인철
    • 동아시아식생활학회지
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    • 제19권3호
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    • pp.363-368
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    • 2009
  • In this experiment, three different diets were produced to investigate the effects of Jeju native chicken meat, from chickens that were fed a tangerine by-product, on physiological activities in rats. The first diet did not contain any chicken (TS), the second diet contained 10% chicken that had not been fed the tangerine by-product (T0), and the third diet contained 10% that had been fed the by-products (T1). These diets were provided to 11-week-old male rats for four weeks. Weight gain, feed intake, feed efficiency, liver, kidney, and epididymis fat weights were not significantly different among the TS, T0, and T1 groups. Total lipid, triglycerides, and cholesterol levels in the liver were significantly lower in T0 and T1 than in TS (p<0.05). And total lipid, phospholipid, triglycerides, total cholesterol, HDL-cholesterol, DL+VLDL-cholesterol, HDL-cholesterol/total cholesterol, and atherogenic index levels in the blood serum were similar between T0 and T1, which did not present any significant differences. The feed containing the tangerine by-product did not cause any statistically significant differences in serum protein, glucose, or hemoglobin. Finally, T0 and T1 showed similar trends in terms of $\gamma$-GTP, ALT, AST, and ALP activities, which again did not present any statistically significant differences.

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A TRANSLATION OF AN ANALOGUE OF WIENER SPACE WITH ITS APPLICATIONS ON THEIR PRODUCT SPACES

  • Cho, Dong Hyun
    • 대한수학회논문집
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    • 제37권3호
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    • pp.749-763
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    • 2022
  • Let C[0, T] denote an analogue of Weiner space, the space of real-valued continuous on [0, T]. In this paper, we investigate the translation of time interval [0, T] defining the analogue of Winer space C[0, T]. As applications of the result, we derive various relationships between the analogue of Wiener space and its product spaces. Finally, we express the analogue of Wiener measures on C[0, T] as the analogue of Wiener measures on C[0, s] and C[s, T] with 0 < s < T.

온라인과 오프라인에서 의류 상품 색상감성평가가 상품에 대한 태도에 미치는 영향 -흰색 티셔츠를 중심으로- (Effect of Color Sensibility Evaluation of Clothing Product on Attitude toward Product in On-line and Off-line -Focusing on White T-Shirt-)

  • 여은아
    • 복식문화연구
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    • 제19권3호
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    • pp.650-660
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    • 2011
  • Purpose of this study is to explore: 1) the difference in color sensibility evaluation, color attractiveness, and attitude toward the product, 2) the difference in the effect of color sensibility evaluation on color attractiveness, and 3) the difference in the effect of color sensibility evaluation on attitude toward the product between the identical clothing product presented in on-line and off-line settings. Experimental method was applied with 230 male and female university students using stimuli of an on-line site as well as an off-line window display presenting the same white t-shirts. Color sensibility factors of white t-shirt were hedonic, stimulating, active, and spatial senses. These color sensibility factors of the clothing product affected product color attractiveness as well as attitude toward the product. Although there were not differences in color sensibility evaluation, product attractiveness, and attitude toward the product between items presented in on-line and off-line settings, difference was found in the effect of color sensibility on the color attractiveness and attitude toward the product. The effect of color sensibility on color attractiveness and attitude toward the product was stronger in on-line than in off-line setting. Hedonic sense was the most important factor influencing attractiveness of product color and attitude toward the product. In addition, spatial sense affected attractiveness of product color in on-line setting; and stimulating sense impacted attitude toward the product in off-line setting. Based on the results implications were generated.

티셔츠 제품유형과 의복추구혜택이 구매행동에 미치는 영향 -브랜드 패러디 티셔츠와 카피 티셔츠를 중심으로- (The Influence of T-shirts Product Type and Apparel Benefit on Purchasing Behavior -Comparing Brand-parody T-shirts with Brand-copy T-shirts-)

  • 신혜선;이윤경
    • 한국의류학회지
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    • 제30권5호
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    • pp.674-683
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    • 2006
  • The purpose of this study was to examine the effects of T-shirts product type and apparel benefit on consumer preference and purchasing intention. Data for the study were obtained by $3\times2$ mixed factorial design. The subjects were two hundred and thirty college male and female students. The data were analysed by factor analysis, cluster analysis, and ANOVA by using the SPSS program. The results of this study indicated that benefit did not have effects on consumers purchasing intention but significant influences on consumer preference for brand-parody products. For brand-copy products, benefit influenced the purchasing intention, and did not influence the consumer preference. This study suggested that new fashion trends, in association with consumer's benefit, have effects on consumer's purchasing behavior. The result of this study is likely to be useful in planning marketing strategy related to product type and new fashion trends.