On geometric properties of Orlicz-Lorentz spaces

被引：31

作者：

Hudzik, H

Kaminska, A

Mastylo, M

机构：

[1] ADAM MICKIEWICZ UNIV POZNAN,FAC MATH & COMP SCI,PL-60769 POZNAN,POLAND

[2] UNIV MEMPHIS,DEPT MATH,MEMPHIS,TN 38152

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1997年 / 40卷 / 03期

关键词：

D O I：

10.4153/CMB-1997-038-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Criteria for local uniform rotundity and midpoint local uniform rotundity in Orlicz-Lorentz spaces with the Luxemburg norm are given. Strict K-monotonicity and Kadec-Klee property are also discussed.

引用

页码：316 / 329

页数：14

共 16 条

[1]

Bennett C., 1988, INTERPOLATION OPERAT

[2]

CALDERON AP, 1966, STUD MATH, V26, P273

[3] Characterizations of Kadec-Klee properties in symmetric spaces of measurable functions [J].

Chilin, VI ;

Dodds, PG ;

Sedaev, AA ;

Sukochev, FA .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1996, 348 (12) :4895-4918

[4] A LATTICE RENORMING THEOREM AND APPLICATIONS TO VECTOR-VALUED PROCESSES [J].

DAVIS, WJ ;

GHOUSSOUB, N ;

LINDENSTRAUSS, J .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 263 (02) :531-540

[5] The uniform Kadec-Klee property for the lorentz spaces L(w,1) [J].

Dilworth, SJ ;

Hsu, YP .

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1996, 60 :7-17

[6]

FREMLIN DH, 1968, PROC CAMB PHILOS S-M, V64, P625

[7]

Hudzik H, 1996, HOUSTON J MATH, V22, P639

[8] STRONGLY EXTREME-POINTS IN KOTHE-BOCHNER SPACES [J].

HUDZIK, H ;

MASTYLO, M .

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1993, 23 (03) :899-909

[9]

HUDZIK H, IN PRESS MATH JAPON

[10] SOME REMARKS ON ORLICZ-LORENTZ SPACES [J].

KAMINSKA, A .

MATHEMATISCHE NACHRICHTEN, 1990, 147 :29-38

← 1 2 →