Complex Convexity of Orlicz-Lorentz Spaces and its Applications

• Autorzy: Changsun Choi , Anna Kamińska , Han Ju Lee
• 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 wi ∈ c₀∖ℓ₂.

Kategorie tematyczne

• 46G25: (Spaces of) multilinear mappings, polynomials
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 46E20: Hilbert spaces of continuous, differentiable or analytic functions

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2004
• Tom: 52
• Numer: 1
• Strony: 19-38

Daty

wydano

2004

Twórcy

autor

Changsun Choi

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

autor

Anna Kamińska

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

autor

Han Ju Lee

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

Identyfikatory

DOI

10.4064/ba52-1-3