Linear operators preserving multivariate majorization
โ Scribed by LeRoy B. Beasley; Sang-Gu Lee
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 111 KB
- Volume
- 304
- Category
- Article
- ISSN
- 0024-3795
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๐ SIMILAR VOLUMES
This paper is concerned with integral operators which are defined by means of continuous kernel functions. We give necessary and sufficient conditions imposed on the kernels such that families of continuous functions with various distinctive forms are left invariant under the corresponding operators
The minimal rank of a square matrix is studied, and the linear operators preserving it are characterized. Some related results are presented and some unsolved problems are discussed.
In this note we introduce a simple and efficient technique for studying the asymptotic behavior of the iterates of a large class of positive linear operators preserving constant functions.
Define the sign-real spectral radius of a real n ร n matrix A as ฯ s 0 (A) = max SโS ฯ 0 (SA), where ฯ 0 (A) = max{|ฮป|; ฮป a real eigenvalue of A} is the real spectral radius of A and S denotes the set of signature matrices, i.e. S = {S; |S| = I}, the absolute value of matrices being meant entrywise.