REAL INTERPOLATION AND MEASURE OF WEAK NONCOMPACTNESS

被引：9

作者：

AKSOY, AG ^{[1
]}

MALIGRANDA, L ^{[1
]}

机构：

[1] UNIV LULEA,DEPT MATH,S-95187 LULEA,SWEDEN

来源：

MATHEMATISCHE NACHRICHTEN | 1995年 / 175卷

关键词：

D O I：

10.1002/mana.19951750102

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Behavior of weak measures of noncompactness under real interpolation is investigated. It is shown that ''convexity type'' theorems hold true for weak measures of noncompactness.

引用

页码：5 / 12

页数：8

共 22 条

[1] SEMINORMS RELATED TO WEAK COMPACTNESS AND TO TAUBERIAN OPERATORS [J].

ASTALA, K ;

TYLLI, HO .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1990, 107 :367-375

[2] ON MEASURES OF WEAK NONCOMPACTNESS [J].

BANAS, J ;

RIVERO, J .

ANNALI DI MATEMATICA PURA ED APPLICATA, 1988, 151 :213-224

[3] MEASURES OF WEAK NONCOMPACTNESS AND NONLINEAR INTEGRAL-EQUATIONS OF CONVOLUTION TYPE [J].

BANAS, J ;

KNAP, Z .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 146 (02) :353-362

[4]

BEAUZAMY B, 1978, LECTURE NOTES MATH, V666

[5]

BENNETT C, 1988, PURE APPLIED MATH, V129

[6]

Brudnyi Y., 1991, INTERPOLATION FUNCTO

[7] REAL AND COMPLEX INTERPOLATION AND EXTRAPOLATION OF COMPACT-OPERATORS [J].

CWIKEL, M .

DUKE MATHEMATICAL JOURNAL, 1992, 65 (02) :333-343

[8]

Davis W. J., 1974, Journal of Functional Analysis, V17, P311, DOI 10.1016/0022-1236(74)90044-5

[9]

De Blasi F.S., 1977, B MATH SOC SCI MATH, V21, P259

[10]

EDMUNDS DE, 1981, MATH NACHR, V104, P129

← 1 2 3 →