We discuss the properties of generalized Schur functions and investigate conditions for two generalized decomposable symmetric tensors to be equal. The analogue of replacing generalized Schur functions by generalized trace functions is also considered.
Semigroups defined by generalized Schur functions
β Scribed by Ming-Peng Gong
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 289 KB
- Volume
- 257
- Category
- Article
- ISSN
- 0024-3795
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β¦ Synopsis
We prove that the characterization of the singular matrices A satisfying (1) dan(AX) = dan(XA) VX can be reduced to that of matrices satisfying (2) dan(AX) = 0 VX, where dan is a Schur function. Some partial results on the characterization of (2) are obtained.
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