| Autor: |
Liu, Yuwen, Liu, Liu, Lu, Yufeng |
| Předmět: |
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| Zdroj: |
Linear & Multilinear Algebra; Dec2024, Vol. 72 Issue 18, p3198-3216, 19p |
| Abstrakt: |
This paper considers the generalized sectorial decompositions of semi-sectorial operators and quasi-sectorial operators on the complex Hilbert space. Under an invariant subspace condition, a necessary and sufficient condition for the existence of the generalized sectorial decomposition of a semi-sectorial operator is given. The generalized sectorial decomposition of a quasi-sectorial operator is given without any conditions. Some sufficient conditions for a block upper triangular operator matrix to be a semi-sectorial operator or a quasi-sectorial operator are given. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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