• Title/Summary/Keyword: Space Sequence

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TORSION IN THE COHOMOLOGY OF FINITE H-SPACES

  • Choi, Young-Gi
    • Journal of the Korean Mathematical Society
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    • v.39 no.6
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    • pp.963-973
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    • 2002
  • We study torsion phenomena in the integral cohomology of finite if-spaces X through the Eilenberg-Moore spectral sequence converging to H*($\Omega$X; Z$_{p}$). We also investigate how the difference between the Z$_{p}$-filtration length f$_{p}$(X) and the Z$_{p}$-cup length c$_{p}$(X) on a simply connected finite H-space X is reflected in the Eilenberg-Moore spectral sequence converging to H*($\Omega$X;Z$_{p}$). Finally we get the following result: Let p be an odd prime and X an n-connected finite H-space with dim QH* (X;Z$_{p}$) $\leq$ m. Then H*(X;Z) is p-torsion free if (equation omitted).tion omitted).

SEQUENCES IN THE RANGE OF A VECTOR MEASURE

  • Song, Hi Ja
    • Korean Journal of Mathematics
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    • v.15 no.1
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    • pp.13-26
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    • 2007
  • We prove that every strong null sequence in a Banach space X lies inside the range of a vector measure of bounded variation if and only if the condition $\mathcal{N}_1(X,{\ell}_1)={\Pi}_1(X,{\ell}_1)$ holds. We also prove that for $1{\leq}p<{\infty}$ every strong ${\ell}_p$ sequence in a Banach space X lies inside the range of an X-valued measure of bounded variation if and only if the identity operator of the dual Banach space $X^*$ is ($p^{\prime}$,1)-summing, where $p^{\prime}$ is the conjugate exponent of $p$. Finally we prove that a Banach space X has the property that any sequence lying in the range of an X-valued measure actually lies in the range of a vector measure of bounded variation if and only if the condition ${\Pi}_1(X,{\ell}_1)={\Pi}_2(X,{\ell}_1)$ holds.

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On Some New Generalized Di erence Statistically Convergen Sequence Spaces De ned by a Sequence of Orlicz Function

  • Bekt, Cigdem Asma;Atici, Gulcan
    • Kyungpook Mathematical Journal
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    • v.50 no.3
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    • pp.389-397
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    • 2010
  • In this paper we introduce the new generalized difference sequence space $\ell_\infty$($\Delta_v^n$, M,p,q,s), $\bar{c}$($\Delta_v^n$,M,p,q,s), $\bar{c_0}$($\Delta_v^n$,M,p,q,s), m($\Delta_v^n$,M,p,q,s) and $m_0$($\Delta_v^n$,M,p,q,s) defined over a seminormed sequence space (X,q). We study some of it properties, like completeness, solidity, symmetricity etc. We obtain some relations between these spaces as well as prove some inclusion result.

RIESZ TRIPLE ALMOST LACUNARY χ3 SEQUENCE SPACES DEFINED BY A ORLICZ FUNCTION-I

  • SUBRAMANIAN, N.;Esi, Ayhan;AIYUB, M.
    • Journal of applied mathematics & informatics
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    • v.37 no.1_2
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    • pp.37-52
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    • 2019
  • In this paper we introduce a new concept for Riesz almost lacunary ${\chi}^3$ sequence spaces strong P - convergent to zero with respect to an Orlicz function and examine some properties of the resulting sequence spaces. We introduce and study statistical convergence of Riesz almost lacunary ${\chi}^3$ sequence spaces and some inclusion theorems are discussed.

Truncated Multi-index Sequences Have an Interpolating Measure

  • Choi, Hayoung;Yoo, Seonguk
    • Kyungpook Mathematical Journal
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    • v.62 no.1
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    • pp.107-118
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    • 2022
  • In this note we observe that any truncated multi-index sequence has an interpolating measure supported in Euclidean space. It is well known that the consistency of a truncated moment sequence is equivalent to the existence of an interpolating measure for the sequence. When the moment matrix of a moment sequence is nonsingular, the sequence is naturally consistent; a proper perturbation to a given moment matrix enables us to confirm the existence of an interpolating measure for the moment sequence. We also illustrate how to find an explicit form of an interpolating measure for some cases.

The Evolutionary Statuses of Solar Type Detached Eclipsing Binary Stars

  • Kanjanascul, Chanisa;Bach, Kie-Huon;Hong, Kyeong-Soo;Kim, Sung-Eun;Lee, Jae-Woo;Kang, Young-Woon
    • Journal of Astronomy and Space Sciences
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    • v.29 no.2
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    • pp.131-140
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    • 2012
  • We presented fundamental stellar parameters and evolutionary statuses of six solar type detached eclipsing binaries whose masses are in the range of 0.97-1.43 $M_{\odot}$. EK Cep and FL Lyr belong to the zero age main sequence. HS Hya, IT Cas and CD Tau are on the main sequence. Their ages are 1.3, 1.9 and 2.2 Gyr, respectively. Both component stars of AI Phe evolved to sub giants and its age is 4.0 Gyr. Those ages of the detached binary systems show good agreement with the time scale for synchronization and circularization of the binary systems.

Noncoherent Unitary Space-Time Modulated DSSS Systems in Multipath Channels

  • Cheun, Kyung-Whoon;Kim, Jeong-Chang;Kim, You-Han;Choi, Soong-Yoon
    • Journal of Communications and Networks
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    • v.14 no.2
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    • pp.206-212
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    • 2012
  • In this paper, in order to effectively apply unitary space-time modulation to the direct-sequence spread-spectrum multiple-access (DSSS-MA) networks, we propose a low-rate, noncoherent, unitary, and space-time modulated DSSS system supporting any number of transmit antennas based on Walsh matrices. The proposed scheme simultaneously performs bandwidth spreading and space-time coding and outperforms those using high-rate, conventional unitary space-time constellations. Furthermore, the proposed scheme allows for a simple detector structure based on fast Walsh transforms.

A STUDY OF ISO SPECTRA FOR HERBIG Ae/Be STARS

  • Suh, Kyung-Won;Kim, Mi-Ryang;Baek, Ji-Hye
    • Journal of Astronomy and Space Sciences
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    • v.19 no.4
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    • pp.255-262
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    • 2002
  • We present the infrared spectra of Herbig Ae/Be stars including the Infrared Space Ob-servatory (ISO) data. To investigate the overall properties of their circumstellar dust envelope and/or disk, we combine the IR spectra with photometric data ranging from the UV through the optical into the sub-mm region. We study the general characteristics of the spectral energy distributions using simple analysis. We plot the positions on the HR-diagram to compare with the theoretical pre-main-sequence evolution tracks.