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- Title
THE ESSENTIAL SPECTRUM EQUALITIES OF 2×2 UNBOUNDED UPPER TRIANGULAR OPERATOR MATRICES.
- Authors
XINRAN LIU; DEYU WU
- Abstract
Based on the space decomposition theory, the conditions for the essential spectrum equalities σ*(T) =σ*(A)∪σ*(D), (σ* =σ{e1, e2, e3, e4, e5, e6}), for the diagonally dominant unbounded upper triangular block operator matrix T = (A B 0 D) are given, where the sets σe1(·) and σe2(·) denote the Gustafson and Weidmann essential spectrums, σe3(·) denotes Wolf essential spectrum, σe4(·) denotes the Schechter essential spectrum, σe5(·) and σe6(·) denote the essential approximation point spectrum and the essential defect spectrum, respectively.
- Subjects
MATRICES (Mathematics); FREDHOLM operators
- Publication
Operators & Matrices, 2023, Vol 17, Issue 4, p1065
- ISSN
1846-3886
- Publication type
Article
- DOI
10.7153/oam-2023-17-70