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- W4304701095 abstract "Abstract In this paper, we investigate the limit points set of descent spectrum of upper triangular operator matrices <m:math xmlns:m=http://www.w3.org/1998/Math/MathML display=inline> <m:mrow> <m:msub> <m:mrow> <m:mi>M</m:mi> </m:mrow> <m:mi>C</m:mi> </m:msub> <m:mo>=</m:mo> <m:mrow> <m:mo>(</m:mo> <m:mrow> <m:mtable columnalign=left> <m:mtr columnalign=left> <m:mtd columnalign=left> <m:mi>A</m:mi> </m:mtd> <m:mtd columnalign=left> <m:mi>C</m:mi> </m:mtd> </m:mtr> <m:mtr columnalign=left> <m:mtd columnalign=left> <m:mn>0</m:mn> </m:mtd> <m:mtd columnalign=left> <m:mi>B</m:mi> </m:mtd> </m:mtr> </m:mtable> </m:mrow> <m:mo>)</m:mo> </m:mrow> </m:mrow> </m:math> {M_C} = left( {matrix{A hfill & C hfill cr 0 hfill & B hfill cr } } right) . We prove that acc ( σ des ( M C )) ∪ W accσ des = acc ( σ des ( A )) ∪ acc ( σ des ( B )) where W accσdes is the union of certain holes in acc ( σ des ( M C )), which happen to be subsets of acc ( σ asc ( B )) ∩ acc ( σ des ( A )). Furthermore, several sufficient conditions for acc ( σ des ( M C )) = acc ( σ des ( A )) ∪ acc ( σ des ( B )) holds for every C ∈ ℬ( Y , X ) are given." @default.
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- W4304701095 date "2022-09-01" @default.
- W4304701095 modified "2023-09-30" @default.
- W4304701095 title "Limit points for descent spectrum of operator matrices" @default.
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- W4304701095 doi "https://doi.org/10.2478/mjpaa-2022-0024" @default.
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