REAL AND COMPLEX OPERATOR IDEALS
作者:
J. Wenzel,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1995)
卷期:
Volume 18,
issue 1-3
页码: 271-285
ISSN:1607-3606
年代: 1995
DOI:10.1080/16073606.1995.9631800
出版商: Taylor & Francis Group
关键词: 47D50;46B20
数据来源: Taylor
摘要:
The powerful concept of an operator ideal on the class of all Banach spaces makes sense in the real and in the complex case. In both settings we may, for example, consider compact, nuclear, or 2-summing operators, where the definitions are adapted to each other in a natural way. This paper deals with the question whether or not that fact is based on a general philosophy. Does there exists a one-to-one correspondence between “real properties” and “complex properties” defining an operator ideal? In other words, does there exist for every real operator ideal a uniquely determined corresponding complex ideal and vice versa?
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