Complex convexity of Orlicz-Lorentz spaces and its applications

• Autorzy: Choi, C. , Kamińska, A. , Lee, H. J.
• Języki publikacji: EN

Abstrakty

EN

We give sufficient and necessary conditions for complex extreme points of the unit ball of Orlicz-Lorentz spaces, as well as we find criteria for the complex rotundity and uniform complex rotundity of these spaces. As an application we show that the set of norm-attaining operators is dense in the space of bounded linear operators from d* (w, 1) into d(w, 1), where d*(w, 1) is a predual of a complex Lorentz sequence space d[w, 1), if and only if w [is an element of] c0 \ L2.

Słowa kluczowe

PL

przestrzeń Orlicza-Lorentza; przestrzeń Marcinkiewicza; punkt ekstremalny zespolony

EN

Orlicz-Lorentz spaces; Marcinkiewicz spaces; complex extreme points; complex strict and uniform rotundity; norm attaining bilinear operators

• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: Vol. 52, nr 1
• Strony: 19-38
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Choi, C.

• Division of Applied Mathematics, Korea Advanced Institute of Science and Technology, 373-1, Kusong-Dong, Yusong-Gu, Taejon, 305-701, Republic of Korea,

autor

Kamińska, A.

• Department of Mathematical Sciences, The University of Memphis Memphis, TN 38152, U.S.A.,

autor

Lee, H. J.

• Division of Applied Mathematics, Korea Advanced Institute of Science and Technology, 373-1, Kusong-Dong, Yusong-Gu, Taejon, 305-701, Republic of Korea,

Bibliografia

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