A cone-theoretic approach to the spectral theory of positive linear operators: The finite-dimensional case
學年 89
學期 2
出版(發表)日期 2001-06-01
作品名稱 A cone-theoretic approach to the spectral theory of positive linear operators: The finite-dimensional case
作品名稱(其他語言)
著者 譚必信; Tam, Bit-shun
單位 淡江大學數學學系
出版者 中華民國數學會
著錄名稱、卷期、頁數 臺灣數學期刊=Taiwanese Journal of Mathematics 5(2), pp.207-277
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.
關鍵字
語言 en_US
ISSN 1815-6355
期刊性質 國內
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產學合作
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國別 TWN
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出版型式 ,紙本
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