• Title/Summary/Keyword: $H_T$

Search Result 16,551, Processing Time 0.046 seconds

LINEAR MAPS PRESERVING 𝓐𝓝-OPERATORS

  • Golla, Ramesh;Osaka, Hiroyuki
    • Bulletin of the Korean Mathematical Society
    • /
    • v.57 no.4
    • /
    • pp.831-838
    • /
    • 2020
  • Let H be a complex Hilbert space and T : H → H be a bounded linear operator. Then T is said to be norm attaining if there exists a unit vector x0 ∈ H such that ║Tx0║ = ║T║. If for any closed subspace M of H, the restriction T|M : M → H of T to M is norm attaining, then T is called an absolutely norm attaining operator or 𝓐𝓝-operator. In this note, we discuss linear maps on B(H), which preserve the class of absolutely norm attaining operators on H.

NORMS FOR COMPACT OPERATORS ON HILBERTIAN OPERATOR SPACES

  • Shin, Dong-Yun
    • Bulletin of the Korean Mathematical Society
    • /
    • v.35 no.2
    • /
    • pp.311-317
    • /
    • 1998
  • For Hilbert spaces H, K, a compact operator T: H $\rightarrow$ K, and column, row, operator Hilbert spaces $H_c,\;K_c,\;H_r,\;K_r,\;H_o, K_o$,we show that ${\parallel}T_{co}{\parallel}_{cb}={\parallel}T_{ro}{\parallel}_{cb}={\parallel}T_{oc}{\parallel}_{cb}={\parallel}T_{or}{\parallel}_{cb}={\parallel}T{\parallel}_4$.

  • PDF

INTUITIONISTIC(S,T)-FUZZY h-IDEALS OF HEMIRINGS

  • Zhan, Jianming;Shum, K.P.
    • East Asian mathematical journal
    • /
    • v.22 no.1
    • /
    • pp.93-109
    • /
    • 2006
  • The concept of intuitionistic fuzzy set was first introduced by Atanassov in 1986. In this paper, we define the intuitionistic(S,T)-fuzzy left h-ideals of a hemiring by using an s-norm S and a t-norm T and study their properties. In particular, some results of fuzzy left h-ideals in hemirings recently obtained by Jun, $\"{O}zt\"{u}rk$, Song, and others are extended and generalized to intuitionistic (S,T)-fuzzy ideals over hemirings.

  • PDF

The Development of Eggs in relation to the Biological Minimum Temperature and rearing water temperature In Abalone, Hallotis sieboldii (시볼트전복, Hallotis sieboldii 의 생물학적 영도와 사육수온에 따른 난 발생)

  • Han, S.J.;Kim, C.W.
    • Journal of Practical Agriculture & Fisheries Research
    • /
    • v.13 no.1
    • /
    • pp.131-136
    • /
    • 2011
  • For the establishment of seed production technique of warm water abalone species Haliotis sieboldii, development of the fertilized eggs and its biological minimum temperature were determined. The durations of each development stages at the six rearing temperature regimes were expressed as an exponential equation: 4 celled stage 1/h = 0.1346T - 2.1709(r2 = 0.88) Morula stage 1/h = 0.0176T - 0.2184 (r2 = 0.89) Trochophore 1/h = 0.0063T - 0.0512 (r2 = 0.98) Veliger 1/h = 0.0045T - 0.0295 (r2 = 0.99) 2nd c.t. 1/h = 0.0008T - 0.0047 (r2 = 0.99) According to the equation, the biological minimum temperature for Haliotis sieboldii was estimated to be 9.7 ℃.

BOUNDEDNESS IN FUNCTIONAL PERTURBED DIFFERENTIAL SYSTEMS

  • Im, Dong Man;Goo, Yoon Hoe
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.28 no.4
    • /
    • pp.499-511
    • /
    • 2015
  • This paper shows that the solutions to the perturbed dierential system $$y^{\prime}=f(t,y)+{\int}_{t_o}^{t}g(s,y(s))ds+h(t,y(t),Ty(t))$$ have bounded property. To show this property, we impose conditions on the perturbed part ${\int}^{t}_{t_o}g(s,y(s))ds+h(t,y(t),Ty(t))$ and on the fundamental matrix of the unperturbed system y' = f(t, y).

Design of DVB-T/H SiP using IC-embedded PCB Process (IC-임베디드 PCB 공정을 사용한 DVB-T/H SiP 설계)

  • Lee, Tae-Heon;Lee, Jang-Hoon;Yoon, Young-Min;Choi, Seog-Moon;Kim, Chang-Gyun;Song, In-Chae;Kim, Boo-Gyoun;Wee, Jae-Kyung
    • Journal of the Institute of Electronics Engineers of Korea SD
    • /
    • v.47 no.9
    • /
    • pp.14-23
    • /
    • 2010
  • This paper reports the fabrication of a DVB-T/H System in Package (SiP) that is able to receive and process the DVB-T/H signal. The DVB-T/H is the European telecommunication standard for Digital Video Broadcasting (DVB). An IC-embedded Printed Circuit Board (PCB) process, interpose a chip between PCB layers, has applied to the DVB-T/H SiP. The chip inserted in DVB-T/H SiP is the System on Chip (SoC) for mobile TV. It is comprised of a RF block for DVB-T/H RF signal and a digital block to convert received signal to digital signal for an application processor. To operate the DVB-T/H IC, a 3MHz DC-DC converter and LDO are on the DVB-T/H SiP. And a 38.4MHz crystal is used as a clock source. The fabricated DVB-T/H SiP form 4 layers which size is $8mm{\times}8mm$. The DVB-T/H IC is located between 2nd and 3rd layer. According to the result of simulation, the RF signal sensitivity is improved since the layout modification of the ground plane and via. And we confirmed the adjustment of LC value on power transmission is necessary to turn down the noise level in a SiP. Although the size of a DVB-T/H SiP is decreased over 70% than reference module, the power consumption and efficiency is on a par with reference module. The average power consumption is 297mW and the efficiency is 87%. But, the RF signal sensitivity is declined by average 3.8dB. This is caused by the decrease of the RF signal sensitivity which is 2.8dB, because of the noise from the DC-DC converter.

BOUNDEDNESS FOR NONLINEAR PERTURBED FUNCTIONAL DIFFERENTIAL SYSTEMS VIA t-SIMILARITY

  • Im, Dong Man
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.29 no.4
    • /
    • pp.585-598
    • /
    • 2016
  • This paper shows that the solutions to the nonlinear perturbed differential system $$y^{\prime}=f(t,y)+{\int_{t_0}^{t}}g(s,y(s),T_1y(s))ds+h(t,y(t),T_2y(t))$$, have bounded properties. To show these properties, we impose conditions on the perturbed part ${\int_{t_0}^{t}}g(s,y(s),T_1y(s))ds,h(t,y(t),T_2y(t))$, and on the fundamental matrix of the unperturbed system y' = f(t, y) using the notion of h-stability.

BOUNDEDNESS IN FUNCTIONAL PERTURBED DIFFERENTIAL SYSTEMS VIA t-SIMILARITY

  • Im, Dong Man;Choi, Sang Il;Goo, Yoon Hoe
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.30 no.3
    • /
    • pp.291-304
    • /
    • 2017
  • This paper shows that the solutions to the perturbed differential system $$y^{\prime}=f(t,y)+{{\displaystyle\smashmargin{2}{\int\nolimits_{t_0}}^{t}}g(s,y(s),T_1y(s))ds+h(t,y(t),T_2y(t))$$, have bounded properties by imposing conditions on the perturbed part ${\int}_{t_0}^{t}g(s,y(s),T_1y(s))ds,h(t,y(t),T_2y(t))$, and on the fundamental matrix of the unperturbed system y' = f(t, y) using the notion of h-stability.