A note on embedding into product spaces

被引：1

作者：

Sofi, M. A. ^{[1
]}

机构：

[1] Univ Kashmir, Dept Math, Srinagar 190006, Jammu & Kashmir, India

来源：

CZECHOSLOVAK MATHEMATICAL JOURNAL | 2006年 / 56卷 / 02期

关键词：

factorization; embedding; opertator ideal;

D O I：

10.1007/s10587-006-0032-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using factorization properties of an operator ideal over a Banach space, it is shown how to embed a locally convex space from the corresponding Grothendieck space ideal into a suitable power of E, thus achieving a unified treatment of several embedding theorems involving certain classes of locally convex spaces.

引用

页码：507 / 513

页数：7

共 15 条

[1]

BELLENOT S, 1975, MICH MATH J, V22, P373

[2] FACTORABLE BOUNDED OPERATORS AND SCHWARTZ SPACES [J].

BELLENOT, SF .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 42 (02) :551-554

[3]

DIESTEL J, 1995, ABSOLUTELY SUMMING O

[4] UNIVERSALITY OF CO SPACE FOR CLASS OF SCHWARTZ SPACES [J].

JARCHOW, H .

MATHEMATISCHE ANNALEN, 1973, 203 (03) :211-214

[5]

JOHNSON WB, 1979, J FUNCT ANAL, V32, P353, DOI 10.1016/0022-1236(79)90046-6

[6]

JUNEK H, 1983, LOCALLY CONVEX SPACE

[7]

Pietsch A., 1980, Operator ideals

[8] EMBEDDING OF SCHWARTZ SPACES INTO PRODUCT SPACES [J].

RANDTKE, DJ .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 55 (01) :87-92

[9] SIMPLE EXAMPLE OF A UNIVERSAL SCHWARTZ SPACE [J].

RANDTKE, DJ .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 37 (01) :185-188

[10] EMBEDDING NUCLEAR SPACES IN PRODUCTS OF AN ARBITRARY BANACH SPACE [J].

SAXON, SA .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 34 (01) :138-&

← 1 2 →