(DN)-(Ω)-TYPE CONDITIONS FOR FRECHET OPERATOR SPACES

被引：0
|
作者：
Piszczek, Krzysztof [1 ]
机构：
[1] Adam Mickiewicz Univ, Fac Math & Comp Sci, PL-61614 Poznan, Poland
来源：
PACIFIC JOURNAL OF MATHEMATICS | 2013年 / 261卷 / 01期
关键词：
operator space; Frechet space; (DN)-(Omega)-type conditions; quantization; SUBSPACES; ANALOGS;
D O I：
10.2140/pjm.2013.261.237
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce (DN)-(Omega)-type conditions for Frechet operator spaces. We investigate which quantizations carry over the above conditions from the underlying Frechet space onto the operator space structure. This holds in particular for the minimal and maximal quantizations in case of a Frechet space and-additionally-for the row, column and Pisier quantizations in case of a Frechet-Hilbert space. We also reformulate these conditions in the language of matrix polars.
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页码：237 / 256
页数：20
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