On Ky Fan's Section Theorem
β Scribed by Xian Wu; Feng Li
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 150 KB
- Volume
- 227
- Category
- Article
- ISSN
- 0022-247X
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π SIMILAR VOLUMES
In this paper, we prove that "most of" problems in Ky Fan's section theorem (in the sense of Baire category) are essential and that for any problem in Ky Fan's section theorem, there exists at least one essential component of its solution set. As applications, we deduce both the existence of essenti
Let A E M,,. In terms of Perron roots and Perron vectors of two positive (or irreducible nonnegative) matrices that dominate principal submatrices A [ 1. . k] and A [k + 1, , n], respectively, we present an improvement on Ky Fan-s theorem of matrix eigenvalues.