Linear operators preserving the minimal rank
โ Scribed by Wasin So
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 66 KB
- Volume
- 302-303
- Category
- Article
- ISSN
- 0024-3795
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โฆ Synopsis
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.
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
Let F be an arbitrary field and k 2 be an arbitrary fixed integer. A k-tuple of matrices for all ฯ โ S k , where S k is a symmetric group on k elements. We investigate the set of linear operators on M n (F) that preserve the set of rank permutable matrix k-tuples.