• Title/Summary/Keyword: cotype

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CHARACTERIZATIONS OF COTYPE OF OPERATORS ACTING ON BANACH LATTICES

  • Song, Hi Ja
    • Korean Journal of Mathematics
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    • v.13 no.1
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    • pp.61-82
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    • 2005
  • We characterize Gaussian cotype X operators acting between Banach spaces, where X is a Banach sequence space. Further we give an extensive presentation of results on the connections between cotype and summing operators.

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ON COTYPE AND SUMMING PROPERTIES FOR BANACH SPACE OPERATORS

  • Song, Hi Ja
    • Korean Journal of Mathematics
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    • v.13 no.2
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    • pp.255-273
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    • 2005
  • We characterize Gaussian cotype X operators acting between Banach spaces, where X is a Banach sequence space. Further we give an extensive presentation of results on the connections between cotype and summing operators.

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OPERATORS FROM CERTAIN BANACH SPACES TO BANACH SPACES OF COTYPE q ≥ 2

  • Cho, Chong-Man
    • Communications of the Korean Mathematical Society
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    • v.17 no.1
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    • pp.53-56
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    • 2002
  • Suppose { $X_{n}$}$_{n=1}$$^{\infty}$ sequence of finite dimensional Banach spaces and suppose that X is either a closed subspace of (equation omitted) or a closed subspace of (equation omitted) with p>2. We show that every bounded linear operator from X to a Banach space Y of cotype q(2$\leq$q〈p) is compact.t.t.

A NOTE ON M-IDEALS OF COMPACT OPERATORS

  • Cho, Chong-Man;Kim, Beom-Sool
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.4
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    • pp.683-687
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    • 1998
  • Suppose X is a subspace of $(\sum_{n=1} ^{\infty} X_n)_{c_0}$, dim $X_n<{\infty}$, which has the metric compact approximation property. It is proved that if Y is a Banach space of cotype q for some $2{\leq}1<{\infty}$ then K(X,Y) is an M-ideal in L(X,Y).

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Blooming and Morphological Characteristics of Korean Native Kentucky bluegrass(Poa pratensis L.) Ecotypes (국내에서 수집된 주요 왕포아풀(Poa pratensis L.)의 개화 및 형태적 특성)

  • Shim, Sang-Ryul;Jeong, Dae-Young;Ahn, Byung-Joon
    • Journal of the Korean Society of Environmental Restoration Technology
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    • v.11 no.2
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    • pp.10-18
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    • 2008
  • In this study, about 80 Kentucky bluegrass (Poa pratensis L.) ecotypes native to Korea were collected annually to analyze their morphology and growth characteristics from 1995 to 2007. Kentucky bluegrass ecotypes with superior characteristics of 'Pureundle' (Trial No. : P38), 'Sewon' (P77), 'Inje' (00034), 'Donggang' (00052), 'Hwasun' (01001), 'Pyengchang' (01071), 'Kongju' (02006), 'Chungsong' (02077), and 'Kumsan' (03005) and three foreign cultivars were transplanted to flowerpots in May 8, 2006 in order to analyze the blooming and morphological characteristics. Out of the selected superior ecotyes, six were collected on the roadsides, two were collected around paddy or dry fields, and one was collected at riverside. Length of 1st internode of 'Chungsong' was the longest (30.7cm), that of 'Pyengchang' was the shortest (12.8cm), and ecotypes showed variation in length. The 1st angle of branches of 'Donggang' was the narrowest ($141.7^{\circ}$), that of 'Hwasun' was the widest ($188.3^{\circ}$), and that of the introduced foreign cultivars were between $159.3^{\circ}$ and $166.7^{\circ}$. The number of nodes of the introduced cultivars were same (six), while that of Korean ecotypes were four to six. Length of flowering culm of 'Chungsong' was the longest (50.7cm) and while that of 'Pyengchang' was the shortest (19.2cm). 'Donggang' with the highest seed yield showed relatively high (36.8cm) inflorescence height when compared to other ecotypes. The five ecotypes of 'Sewon', 'Inje', 'Donggang', 'Pyengchang', and 'Kongju' were investigated to have relatively wide leaf width. Especially 'Sewon' and 'Inje' were investigated to have wide leaves of 4.5mm and over.