DC Field | Value | Language |
---|---|---|
dc.contributor.advisor | Choi, Chang-Sun | - |
dc.contributor.advisor | 최창선 | - |
dc.contributor.author | Lee, Han-Ju | - |
dc.contributor.author | 이한주 | - |
dc.date.accessioned | 2011-12-14T04:39:53Z | - |
dc.date.available | 2011-12-14T04:39:53Z | - |
dc.date.issued | 2004 | - |
dc.identifier.uri | http://library.kaist.ac.kr/search/detail/view.do?bibCtrlNo=240544&flag=dissertation | - |
dc.identifier.uri | http://hdl.handle.net/10203/41877 | - |
dc.description | 학위논문(박사) - 한국과학기술원 : 응용수학전공, 2004.8, [ iv, 94 p. ] | - |
dc.description.abstract | This thesis is devoted to a study of various geometric properties of Banach function spaces, relations with each other and its applications. First, we study the effect of M-ideal properties and complex convexity to extension of polynomials. In particular, we show when order continuous subspace of Marcinkiewicz spaces has M-ideal properties in its bidual and we find the relation between the complex extreme points and extension of 2-homogeneous polynomials in order continuous subspace of complex Marcinkiewicz sequence spaces. Secondly, we find the necessary and sufficient conditions for complex convexity of Orlicz-Lorentz spaces. Using complex convexity, we show that the norm-attaining subspace $NA(d_*(w,1), d(w,1))$ is not dense in $L(d_*(w,1), d(w,1))$ if and only if $w ∈ ℓ_2$ in the complex case. Finally, we deal with complex convexity, monotonicity, cotype of Banach lattices. With these results, we obtain the following results: a K$ö$the-Bochner function space E(X) is strictly (resp. uniformly) complex convex if and only if E is strictly (resp. uniformly) monotone and X is strictly (resp. uniformly) complex convex. | eng |
dc.language | eng | - |
dc.publisher | 한국과학기술원 | - |
dc.subject | COMPLEX CONVEXITY | - |
dc.subject | 함수 공간 | - |
dc.subject | M-IDEAL PROPERTIES | - |
dc.subject | FUNCTION SPACE | - |
dc.subject | EXTENSION OF POLYNOMIALS | - |
dc.subject | 복소 볼록성 | - |
dc.subject | M-ideal 성질 | - |
dc.subject | 다항식의 확장 | - |
dc.title | Extension of polynomials, complex convexity and M-ideal properties of Banach function spaces | - |
dc.title.alternative | Banach 함수 공간에서 다항식의 확장, 복소 볼록성과 M-ideal 성질 | - |
dc.type | Thesis(Ph.D) | - |
dc.identifier.CNRN | 240544/325007 | - |
dc.description.department | 한국과학기술원 : 응용수학전공, | - |
dc.identifier.uid | 020015230 | - |
dc.contributor.localauthor | Choi, Chang-Sun | - |
dc.contributor.localauthor | 최창선 | - |
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