A cone-theoretic approach to the spectral theory of positive linear operators: The finite-dimensional case

淡江大學機構典藏 > 理學院 > 應用數學與數據科學學系 > 期刊論文 > Item 987654321/41638

jsp.display-item.identifier=請使用永久網址來引用或連結此文件: https://tkuir.lib.tku.edu.tw/dspace/handle/987654321/41638

题名:	A cone-theoretic approach to the spectral theory of positive linear operators: The finite-dimensional case
作者:	譚必信;Tam, Bit-shun
贡献者:	淡江大學數學學系
日期:	2001-06
上传时间:	2010-01-28
出版者:	中華民國數學會
摘要:	This is a review of a coherent body of knowledge, which perhaps deserves the name of the geometric spectral theory of positive linear operators (in finite dimensions), developed by this author and his co-author Hans Schneider (or S.F. Wu) over the past decade. The following topics are covered, besides others: combinatorial spectral theory of nonnegative matrices, Collatz-Wielandt sets (or numbers) associated with a cone-preserving map, distinguished eigenvalues, cone-solvability theorems, the peripheral spectrum and the core, the invariant faces, the spectral pairs, and an extension of the Rothblum Index Theorem. Some new insights, alternative proofs, extensions or applications of known results are given. Several new results are proved or announced, and some open problems are also mentioned.
關聯:	臺灣數學期刊=Taiwanese Journal of Mathematics 5(2), pp.207-277
显示于类别:	[應用數學與數據科學學系] 期刊論文

文件中的档案:

档案	描述	大小	格式	浏览次数
A cone-theoretic approach to the spectral theory of positive linear operators The finite-dimensional case.pdf		701Kb	Adobe PDF	1	检视/开启
index.html		0Kb	HTML	213	检视/开启

在機構典藏中所有的数据项都受到原著作权保护.

TAIR相关文章