DISJOINTNESS OF OPERATOR RANGES IN BANACH SPACES
作者:
R.W. Cross,
V.V. Shevchik,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1998)
卷期:
Volume 21,
issue 3-4
页码: 247-260
ISSN:1607-3606
年代: 1998
DOI:10.1080/16073606.1998.9632044
出版商: Taylor & Francis Group
关键词: 47A05
数据来源: Taylor
摘要:
LetXbe a Banach space. A linear subspace ofXis called an operator range if it coincides with the range of a bounded linear operator defined on some Banach space. The paper studies disjointness and inclusion properties of various types of operator ranges in a separable infinite dimensional Banach spaceX.One of the main results is the following: LetEbe a non-closed operator range inX.ThenXcontains a non-closed dense operator rangeRwith the propertiesE∩= {0}, andRis decomposable, i.e.R=M+NwhereM,Nare closed and infinite dimensional andM∩N= {0} (Theorem 6.2).
点击下载:
PDF (619KB)
返 回