• Title/Summary/Keyword: positive space

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Extreme Positive Operators from 2 × 2 to 3 × 3 Hermitian Matrices

  • Moon, Byung Soo
    • Journal of the Chungcheong Mathematical Society
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    • v.4 no.1
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    • pp.11-38
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    • 1991
  • Let $E_n$ be the real ordered space of all $n{\times}n$ Hermitian Matrices and let T be a positive linear operator from $E_2$ to $E_3$. We prove in this paper that T is extreme if and only if T is unitarily equivalent to a map of the form $S_z$ for some $z{\in}C^2$ where $S_z$ is defined by $S_z(xx^*)=ww^*$, $w_i=x_iz_i$ for i = 1, 2 and $w_3=0$.

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ON APPROXIMATION PROPERTIES OF BALAZS-SZABADOS OPERATORS AND THEIR KANTOROVICH EXTENSION

  • Agratini, Octavian
    • Journal of applied mathematics & informatics
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    • v.9 no.2
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    • pp.531-542
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    • 2002
  • In this paper we deal with a sequence of positive linear operators ${{R_n}}^{[$\beta$]}$ approximating functions on the unbounded interval [0, $\infty$] which were firstly used by K. balazs and J. Szabados. We give pointwise estimates in the framework of polynomial weighted function spaces. Also we establish a Voronovskaja type theorem in the same weighted spaces for ${{K_n}}^{[$\beta$]}$ operators, representing the integral generalization in Kantorovich sense of the ${{R_n}}^{[$\beta$]}$.

A STUDY ON SUBMANIFOLDS OF CODIMENSION 2 IN A SPHERE

  • Baik, Yong-Bai;Kim, Dae-Kyung
    • Bulletin of the Korean Mathematical Society
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    • v.25 no.2
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    • pp.171-174
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    • 1988
  • Let M be an n-dimensional compact connected and oriented Riemannian manifold isometrically immersed in an (n+2)-dimensional Euclidean space $R^{n+2}$. Moore [5] proved that if M is of positive curvature, then M is a homotopy sphere. This result is generalized by Baldin and Mercuri [2], Baik and Shin [1] to the case of non-negative curvature, which is stated as follows: If M of non-negative curvature, then M is either a homotopy sphere or diffeomorphic to a product of two spheres. In particular, if there is a point at which the curvature operator is positive, then M is homeomorphic to a sphere.e.

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Interfacial charge Behaviors in XLPE/SXLPE Laminates (XLPE/SXLPE laminate의 계면전하 거동)

  • 고정우;남진호;서광석
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2001.07a
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    • pp.897-900
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    • 2001
  • Space charge distributions in silane crosslinked polyethylene (SXLPE)/ crosslinked polyethylene (XLPE) laminates was investigated using a pulsed electroacoustic (PEA) method. XLPE shows heterocharge while SXLPE shows homocharge. Positive charge is accumulated at the interface of SXLPE/XLPE laminate when applied electric field is more than 20 kV/mm. The charge profile at various temperatures was also acquired using temperature-controllable PEA system. Although applied electric field is only 8.6 kV/mm, positive interfacial charge starts to appear near 50$^{\circ}C$.

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A RADO TYPE EXTENSION OF HOLDERS INEQUALITY

  • Kwon, Ern-Gun;Yoon, Kang-Hee
    • The Pure and Applied Mathematics
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    • v.7 no.1
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    • pp.1-6
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    • 2000
  • An extension of $H\"{o}lder's$ inequality whose discrete form is described as follows is given. Let $\nu$ be a positive measure on a space Y, $\nu(Y)\;\neq\;0$, and let $f_{j}$(j = 1,2,...,n) be positive ν-integrable functions on Y. If ${\alpha}_j$ > 0(j = 1,2,...,n) and ${\beta}_j$(j = 1,2,...,k < n) are related to be (equation omitted) then (equation omitted).

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ON THE INDEFINITE POSITIVE QUADRIC ℚ+n-2

  • Hong, Seong-Kowan
    • East Asian mathematical journal
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    • v.32 no.1
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    • pp.93-100
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    • 2016
  • The generalized Gaussian image of a spacelike surface in $L^n$ lies in the indefinite positive quadric ${\mathbb{Q}}_+^{n-2}$ in the open submanifold ${\mathbb{C}}P_+^{n-1}$ of the complex projective space ${\mathbb{C}}P^{n-1}$. The purpose of this paper is to find out detailed information about ${\mathbb{Q}}_+^{n-2}{\subset}{\mathbb{C}}P_+^{n-1}$.

The Critical Phenomena of a Model for the Metabolic Control System with Positive Feedback

  • Kim, Cheol-Ju;Lee, Dong- J.;Shin, Kook-Joe;Lee, Jong-Myung;Ko, Seuk-Beum;Jeon, Il-Cheol
    • Bulletin of the Korean Chemical Society
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    • v.10 no.5
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    • pp.452-458
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    • 1989
  • The static and dynamic phenomena of a model for the metabolic control system with positive feedback are discussed with the static and dynamic renormalization group theory. Then, the explicit results for the static and dynamic exponents are obtained up to the second order of ${\varepsilon}$-expansion, ${\varepsilon}$ being 4-d, where d is the space dimensionality of the system.

Research on Ionospheric Variations Associated with Solar Activity Covering One Complete Solar Cycle (1991-2002) in Korea

  • Lee, Sang-U;Kim, Jeong-Hun;Kim, Yu-Seon
    • Bulletin of the Korean Space Science Society
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    • 2004.04a
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    • pp.36-36
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    • 2004
  • Ionospheric data from DGS-256 ionosonde operated by Radio Research Laboratory in Anyang archived during 1991-2002 was extracted and analyzed firstly in Korea. Daily, monthly and annual variations of the 12-year F2 layer critical frequency(foF2) are derived to investigate the statistical ionospheric characteristics during one complete solar cycle. Positive correlation between the mean values of 24-hourly monthly median foF2 and the monthly smoothed sunspot number(SSN) for the same period is found. (omitted)

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ASTMMETRIC LIGHT CURVE OF W UMa TYPE ECLIPSING BINARY SYSTEM (비대칭 광도곡선을 갖는 W UMa 형 식쌍성)

  • 오규동
    • Journal of Astronomy and Space Sciences
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    • v.11 no.2
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    • pp.196-207
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    • 1994
  • Data on 27 W UMa systems having a asymmetric light curve so called O'Conell effect have been collected. Investigated 27 W UMa systems were classified into 12 positive and 15 negative type according to the shape of its asymmetric light curve. A list of members of the group, their current observational statue, and their physical and evolutional relationship to asymmetric W UMa type binaries are discussed.

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