A COMPACT REGULAR OPERATOR WITHOUT MODULUS

被引：10

作者：

ABRAMOVICH, YA ^{[1
]}

WICKSTEAD, AW ^{[1
]}

机构：

[1] QUEENS UNIV BELFAST,DEPT PURE MATH,BELFAST BT7 1NN,ANTRIM,NORTH IRELAND

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1992年 / 116卷 / 03期

关键词：

BANACH LATTICE; COMPACT SET; COMPACT REGULAR OPERATOR;

D O I：

10.2307/2159439

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct an operator with the properties mentioned in the title. Without the regularity assumption such an example was first discovered by U. Krengel.

引用

页码：721 / 726

页数：6

共 11 条

[1]

Abramovich Y. A., 1978, ANN U CRAIOVA, V6, P15

[2] REGULAR OPERATORS FROM AND INTO A SMALL RIESZ SPACE [J].

ABRAMOVICH, YA ;

WICKSTEAD, AW .

INDAGATIONES MATHEMATICAE-NEW SERIES, 1991, 2 (03) :257-274

[3]

ABRAMOVICH YA, 1990, FUNCTIONAL ANAL OPTI, P133

[4]

Aliprantis C. D., 1985, POSITIVE OPERATORS, V119

[5] REMARK ON MODULUS OF COMPACT OPERATORS [J].

KRENGEL, U .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 72 (1P1) :132-&

[6]

Krengel Ulrich, 1963, MATH SCAND, V13, P151

[7]

Lindenstrauss J., 1977, ERGEB MATH GRENZGEB, V92

[8]

Schaefer HH, 1974, BANACH LATTICES POSI

[9]

VULIKH BZ, 1967, INTRO THEORY PARTIAL

[10]

WICKSTEAD AW, 1974, MATH ANN, V212, P271

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