Geometric Spectral Theory of Positive Linear Opeartors

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Title:	Geometric Spectral Theory of Positive Linear Opeartors
Authors:	譚必信;Tam, Bit-shun
Contributors:	淡江大學數學學系
Date:	2000
Issue Date:	2012-12-03 21:56:34 (UTC+8)
Publisher:	Taipei : Tamkang University
Abstract:	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, dis¬tinguished eigenvalues, cone-solvability theorems, the peripheral spectrum and the core, the invariant faces, the spectral pairs, and an extension of the Rothblum Index theorem.
Relation:	2000年國際數學與統計研討會暨第34屆中華民國數學會年會：慶祝淡江大學創校五十週年校慶 (2000 international conference on mathematics and statistics and 34th annual meeting of mathematical society of R.O.C. : commemorating the 50th anniversary of Tamkang University), pp.69
Appears in Collections:	[Graduate Institute & Department of Mathematics] Proceeding

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